Bio

PROF. POKHARIYAL GANESH P

M.Sc.( Mathematics) - Mathematical Statistics I and II , Relativity and Quantum Mechanics . M.Sc (Physics ) - Spectroscopy
Ph.D.( Mathematics) - General Theory of Relativity
Title of Ph.D. thesis:"Some Problems in General Relativity".

D.Sc. ( Mathematics ) - General Relativity and Differential Geometry. Title of D.Sc.
Thesis:"A contribution to the Theory of General Relativity and Differentiable Structures.”

RESEARCH INTEREST
General Theory of Relativity, Differential Geometry and Mathematical Modeling for Biological Sciences and Social Science

Publications


Submitted

MUTUKU, DRNZIMBIBERNARD, P PROFPOKHARIYALGANESH, M PROFKHALAGAIJAIRUS.  Submitted.  B.M. Nzimbi, G.P. Pokhariyal and J.M. Khalagai, Characterization of C_00 Contractions and their invariant subspaces, corrected manuscript re-submitted to Opuscula Mathematica, paper under review.. God Conference at Mara (Kenya). Proc. pp. 165-171 (New Era book). : Opuscula Mathematica, Abstract
This paper investigates the possibilities of applying emerging management theories and techniques to constitutionally created offices in Kenya and East African region. The benefits from application of these theories, particularly in the judicial services are highlighted.
P, PROFPOKHARIYALGANESH.  Submitted.  The Hindu view of God, Humanity and Mother Nature. God Conference at Mara (Kenya). Proc. pp. 165-171 (New Era book). : Kenya Journal of Sciences(KJS), Abstract
This paper investigates the possibilities of applying emerging management theories and techniques to constitutionally created offices in Kenya and East African region. The benefits from application of these theories, particularly in the judicial services are highlighted.
MUTUKU, DRNZIMBIBERNARD, P PROFPOKHARIYALGANESH, KIBET DRMOINDISTEPHEN.  Submitted.  B.M. Nzimbi, G.P. Pokhariyal and S.K. Moindi, A note on metric equivalence of operators, Far East Math Jourmal (FMJS), accepted March 2012, to appear.. Global Journal of Pure and Applied Mathematics(GJPAM),2012, to appear. : Far East Math Science Journal
MUTUKU, DRNZIMBIBERNARD, KIBET DRMOINDISTEPHEN, P PROFPOKHARIYALGANESH.  Submitted.  B.M. Nzimbi, G.P. Pokhariyal and S.K. Moindi, A note on A-self-adjoint and A-skew-adjoint operators and their extensions, Pioneer Journal of Mathematics and Mathematical Sciences, accepted January, 2012, to appear. Pioneer Journal of Mathematics and Mathematical Sciences(PJMMS). : Pioneer Journal of Mathematics and Mathematical Sciences
MUTUKU, DRNZIMBIBERNARD, P PROFPOKHARIYALGANESH, M PROFKHALAGAIJAIRUS.  Submitted.  B.M. Nzimbi, G.P. Pokhariyal and J.M. Khalagai, Linear operators for which T* and T^2 commute, Global Journal of Pure and Applied Mathematics(GJPAM), 2012, to appear. Global Journal of Pure and Applied Mathematics(GJPAM),2012, to appear. : Global Journal of Pure and Applied Mathematics(GJPAM), 2012, to appear
MUTUKU, DRNZIMBIBERNARD, KIBET DRMOINDISTEPHEN, P PROFPOKHARIYALGANESH.  Submitted.  Moindi, S.K., Pokhariyal, G.P. and Nzimbi, B.M., W_4-Curvature tensor on a A-Einstein Sasakian manifold, Global Journal of Theoretical and Applied Mathematical Sciences(GJTAMS), accepted Feb 2012, to appear.. Global Journal of Theoretical and Applied Mathematical Sciences(GJTAMS). : Global Journal of Theoretical and Applied Mathematical Sciences(GJTAMS)
MUTUKU, DRNZIMBIBERNARD, KIBET DRMOINDISTEPHEN, P PROFPOKHARIYALGANESH.  Submitted.  Stephen Moindi Kibet, G.P. Pokhariyal and B.M. Nzimbi, W_2-Recurrent LP-Sasakian manifold, Universal Journal of Mathematics and Mathematical Sciences(UMMS) accepted in May 2012. Paper under review.. Asynchronous Content Development Workshop,Kenya Wildlife Service Training Institute, Naivasha, Kenya,31st March 2004. : Universal Journal of Mathematics and Mathematical Sciences(UMMS)

2020

Oluoch, JO, Rambo CM, Pokhariyal GP.  2020.  Data Dissemination and Use and Provision of Curative and Preventive Tuberculosis Health Care Services in Public Health Institutions in Kisumu County, Kenya . European Journal of Business and Management Research. 5((1)) Abstractview

The study sought to determine how data dissemination and use influence provision of curative and preventive tuberculosis healthcare in institutions of public health in Kisumu County, Kenya. The study focused on public health institutions that practices M&E system on provision of curative and preventive tuberculosis healthcare services. The study employed the use of pragmatism paradigm and a descriptive research design to collect both quantitative and qualitative data. A correlational design was used to test the hypothesis. A sample of 221 respondents was selected from a population of 517 using stratified random sampling. Data was collected using a structured questionnaire with both open and close ended with Likert type on 1-5 five point scale and interview schedule. Correlational design was used to test the hypothesis. Quantitative data was analyzed using descriptive and inferential statistics and data presented in frequency tables using means and standard deviations while qualitative data was presented in in narrative statements. Hypothesis was tested using linear regression at 0.05 level of significance to determine the degree and direction of relationships among the thematic area of the study. The reliability of the instruments was obtained using Cronbach Alpha coefficient of 0.735 for all items meaning that the instruments were reliable. The results showed that data dissemination and use and provision of curative and preventive tuberculosis health care services in public health institutions had [r2=0.186, p<0.05]. The results for quantitative data based on composite mean score of 3.91 and 0.466 standard deviation for this variable respectively. Therefore, data dissemination and use influence provision of curative and preventive tuberculosis healthcare services in public health institutions.

Hassanali J., Pokhariyal G, P. M.  2020.  Comparative analysis of selected linear measurements of human and baboon brains. European Journal of anatomy. 11 ((1)):9-16. AbstractWebsite

The morphometric parameters of the brains of several mammals and primates show differences that are likely to be associated with cognitive and other functions necessary for survival as well as evolution. Seven human and eight baboon formalin-fixed brains were used to show comparative aspects. The whole brains were weighed, 3 from humans and 3 from baboons were separated into components -cerebrum, cerebellum and brainstem- and their weights were recorded. The linear measurements of the cerebrum were occipito-frontal (O-F), fronto-temporal (F-T) temporo-occipital (T-O), height of temporal lobe (HTL), inter: frontal pole (F-F), occipital pole (O-O), parietal (P-P), temporal pole (T-T), and occipital lobe (OL-OL) from superior, lateral and inferior aspects. The proportions of brain weight relative to body weight and those of the brain components were mostly higher in the humans. The length, height and width of the human brains were higher than in the baboons. F-F was six times O-O in humans while other parameters were nearly double in humans as compared to baboons. The ratio of P-P to F-F was nearly 20 times in baboons as compared to 6 times in humans. The overall increase in human brain length, width and size of lobes could be related to increased body size, functional complexity, upright posture, and evolution. The lateral expansion in the size of the frontal, temporal and occipital lobes may be due to the complex circuitry associated with cognitive functions and life style. Several approaches have been proposed to determine factors related to increases in brain size, function and intelligence. Morphometry could be one tool to "explain" specific increases in brain areas.

2018

POKHARIYAL, P, MUTURI NE, J. M. KHALAGAI G.  2018.   SPLITTING AND ADMISSIBLE TOPOLOGIES DEFINED ON THE SET OF CONTINUOUS FUNCTIONS BETWEEN BITOPOLOGICAL SPACES. International Journal of Mathematical Archive. 9(( 1),2018, ):65-68. Abstract SPLITTING AND ADMISSIBLE TOPOLOGIES DEFINED ON THE SET OF CONTINUOUS FUNCTIONS BETWEEN BITOPOLOGICAL SPACES

In this paper, p-splitting, p-admissible, s-splitting and s-admissible topologies on the sets p−C(Y, Z) and s−C(Y, Z) are defined and their properties explored. exponential functions are introduced in function spaces and s-splitting and s-admissible topologies defined on s-C(Y, Z) compared using these mappings

Pokhariya, GP, Kikechi CB, Simwa RO.  2018.  On Local Linear Regression Estimation of Finite Population Totals in Model Based Surveys. American Journal of Theoretical and Applied Statistics. 7((3)):92-101. Abstracthttp://thescipub.com/journals/ajas

In this paper, nonparametric regression is employed which provides an estimation of unknown finite population
totals. A robust estimator of finite population totals in model based inference is constructed using the procedure of local linear
regression. In particular, robustness properties of the proposed estimator are derived and a brief comparison between the
performances of the derived estimator and some existing estimators is made in terms of bias, MSE and relative efficiency.
Results indicate that the local linear regression estimator is more efficient and performing better than the Horvitz-Thompson
and Dorfman estimators, regardless of whether the model is specified or mispecified. The local linear regression estimator also
outperforms the linear regression estimator in all the populations except when the population is linear. The confidence
intervals generated by the model based local linear regression method are much tighter than those generated by the design
based Horvitz-Thompson method. Generally the model based approach outperforms the design based approach regardless of
whether the underlying model is correctly specified or not but that effect decreases as the model variance increases.
Keywords: Nonparametric Regression, Finite Population Totals, Local Linear Regression, Robustness Properties,
Confidence Intervals, Model Based Surveys

2013

Pokhariyal, GP;, Mahasi J.  2013.  Two Stage Interest Rate Pass Through In Kenya. Abstract

Interest rate volatility is a major concern for emerging economies due to its crippling effects on the economy. There is wide ranging disconsensus on the effectiveness and speed of various tools. This paper proposes timely monetary policy mediation to curb interest rate volatility through the determination of the total time taken for the effects of monetary policy instruments to transmit to via the interest rate channel to market rates. A change in the Central Bank Rate (CBR) will trigger a corresponding change in intermediate variables (Treasury bill (Tbill), Repurchase agreement (REPO) and Interbank rates) in the first stage of transmission. The second stage measures the transmission from the intermediate variables to market rates. The study uses an Auto Distributed Lag (ADL) specification parameterized as an Error Correction Model (ECM) with primary data coming from Central Bank of Kenya (CBK). The results indicate it takes 7 days for monetary policy adduced shocks to transmit from CBR to REPO, 3 months from CBR to T-bill and 12 months from CBR to interbank for the l" stage. At the second stage it takes 3 months for the adduced shocks to transmit from interbank to market rates and 10 months from T-bill to market rates. The paper proposes that CBK considers alternative monetary policy transmission channels as well as adopting a hybrid approach to monetary policy control. The study is the first to measure the complete two stage interest rate pass-through in Kenya and will contribute the scarce but steadily growing pool of literature on the subject in Kenya and Sub-Saharan Africa. The study will aid economists in determining the appropriateness ofthe interest rate channel based on its speed

Porkhariyal, GP, Moindi SK, Nzimbi BM.  2013.  W2-Recurrent LP-Sasakian Manifold. Universal Journal of Mathematics and Mathematical Sciences. 3(2):119-128.w2-_recurrent_lp_-sasakian_manifold.pdf
Nzimbi, BM, Pokhariyal GP, Moindi SK.  2013.  A NOTE ON METRIC EQUIVALENCE OF SOME OPERATORS. Far East Journal of Mathematical Sciences (FJMS). 75(2):301-318.A Note on Metric Equivalence of Some Operators
Pokhariyal, GP.  2013.  Pokhariyal.
Mishra, RS, Pokhariyal GP.  2013.  Electromagnetic Tensor Field, Nijenhius Tensor (III).

2012

Waweru, KM, Pokhariyal GP, Mwaura MF.  2012.  The Signaling Hypothesis: Evidence From The Nairobi Securities Exchange. AbstractWebsite

This study investigates the signaling hypothesis by testing the displacement property of dividends. The study uses Ohlson (1995; 2001) model and follows Hand and Landsman (2005) approach. The study however varies the methodology by using pooled Time Series Cross Section data and Panel Corrected Standard Error estimation and also control for size to take care of scale effects. The study’s findings provide further empirical evidence that dividends are used as signals about future earnings prospects of the firm. After following Thakor (2003) approach in testing for the free cashflow hypothesis, the study’s results do not provide evidence in favour of the cashflow hypothesis it is therefore ruled out. The study’s results shed further insights on the controversy regarding the information content of dividend changes about future profitability.

2011

and Yalla, GPPO.  2011.  Effect of National Strategy Implemetation on Competitiveness: A case of Kenya's Trade, International Marketing and Investment Strategies. International Journal of Business and Public Management. Vol 1, No. 1: (April, 2011):60-68.

2010

MUTUKU, DRNZIMBIBERNARD, KIBET DRMOINDISTEPHEN, P PROFPOKHARIYALGANESH.  2010.  Stephen Moindi Kibet, G.P. Pokhariyal and B.M. Nzimbi, Study of W_4 Curvature tensor on Sasakian Manifold, Kenya J. Sciences(KJS), Vol. 14, No.1 2010, 1-8. Pioneer Journal of Mathematics and Mathematical Sciences(PJMMS). : Kenya Journal of Sciences(KJS),

2008

OKWIRI, DROWINO, P PROFPOKHARIYALGANESH.  2008.  Emerging theories on decision making: application in judicial services.. 4th ORSEA Conference, 2008. : Kenya Journal of Sciences(KJS), Abstract
This paper investigates the possibilities of applying emerging management theories and techniques to constitutionally created offices in Kenya and East African region. The benefits from application of these theories, particularly in the judicial services are highlighted.
MUTUKU, DRNZIMBIBERNARD, P PROFPOKHARIYALGANESH, M PROFKHALAGAIJAIRUS.  2008.  B.M. Nzimbi, G.P. Pokhariyal and J.M. Khalagai, A note on Similarity, Almost-Similarity and Equivalence of Operators, Far East Mathematics Journal, Vol 28, Issue 2(February 2008), 305-317.. Far East Mathematics Journal, Vol 28, Issue 2(February 2008), 305-317.. : Kenya Journal of Sciences(KJS), Abstract
The almost-similar and similar relations between operators on finite-dimensional Hilbert spaces are investigated. It is shown that almost-similar operators share some properties with some other classes of operators. Various results on almost-similarity and similarity are proved. An attempt is made to classify those operators where almost-similarity implies similarity. We investigate some properties of corresponding parts of operators which enjoy these equivalence relations.

2007

2005

P, PROFPOKHARIYALGANESH.  2005.  Model for understanding social problems in slums. International journal for world peace Vol. XXII No. 2 , pp 59-75.. : Kenya Journal of Sciences(KJS), Abstract
This paper investigates the possibilities of applying emerging management theories and techniques to constitutionally created offices in Kenya and East African region. The benefits from application of these theories, particularly in the judicial services are highlighted.

2004

J., PROFRODRIGUESANTHONY, P PROFPOKHARIYALGANESH.  2004.  Global Knowledge and the Information Society: Illusion or Reality for Developing Countries? International ICT Workshop 2004 On Application of ICT in enhancing Higher Learning Education, pp 8-19.. : Kenya Journal of Sciences(KJS), Abstract
This paper investigates the possibilities of applying emerging management theories and techniques to constitutionally created offices in Kenya and East African region. The benefits from application of these theories, particularly in the judicial services are highlighted.
P, PROFPOKHARIYALGANESH, A. MRMOTURICHRISTOPHER, P PROFPOKHARIYALGANESH.  2004.  G.P. Pokhariyal, C.A. Moturi, J. Hasssanali S.M. Kinyanjui Simulation Model for Dental Arch Shapes in Humans, " East African Medical Journal 81, 599-602 (2004)). East African Medical Journal, November 2004, pp 599 . : Kenya Journal of Sciences(KJS), Abstract
This paper investigates the possibilities of applying emerging management theories and techniques to constitutionally created offices in Kenya and East African region. The benefits from application of these theories, particularly in the judicial services are highlighted.

2003

P, PROFPOKHARIYALGANESH.  2003.  Strategic Measures to curb Crime Rates in Nairobi. International Jour. on World Peace, with R.K. Muthuri. : Kenya Journal of Sciences(KJS), Abstract
This paper investigates the possibilities of applying emerging management theories and techniques to constitutionally created offices in Kenya and East African region. The benefits from application of these theories, particularly in the judicial services are highlighted.
P, PROFPOKHARIYALGANESH.  2003.  A dynamical Model for stage-specific HIV Incidences with Application to Sub-Saharan Africa. Applied Maths and Computation, 146 pp93-104, with R.O.Simwa. : Kenya Journal of Sciences(KJS), Abstract
This paper investigates the possibilities of applying emerging management theories and techniques to constitutionally created offices in Kenya and East African region. The benefits from application of these theories, particularly in the judicial services are highlighted.
P, PROFPOKHARIYALGANESH, ONYINO PROFSIMWARICHARD.  2003.  On Emperical Modeling of HIV/AIDS pandemic with application to East Africa. African Jour. Sci &Tech, vol. 4, No.1, pp104-109, with R.O.Simwa. : Kenya Journal of Sciences(KJS), Abstract
This paper investigates the possibilities of applying emerging management theories and techniques to constitutionally created offices in Kenya and East African region. The benefits from application of these theories, particularly in the judicial services are highlighted.

2002

P, PROFPOKHARIYALGANESH.  2002.  Crop Development Model. Applied sciences, vol. 4,No.1, pp 11-16.. : Kenya Journal of Sciences(KJS), Abstract
This paper investigates the possibilities of applying emerging management theories and techniques to constitutionally created offices in Kenya and East African region. The benefits from application of these theories, particularly in the judicial services are highlighted.
P, PROFPOKHARIYALGANESH.  2002.  Modeling Environmental, Epidemiological and Social Influences of Urbanization. 23rd Conference on Regional and urban statistics and Research, 12th - 15th June, Lisbon, PORTUGAL; Proceeding of conference (CD). : Kenya Journal of Sciences(KJS), Abstract
This paper investigates the possibilities of applying emerging management theories and techniques to constitutionally created offices in Kenya and East African region. The benefits from application of these theories, particularly in the judicial services are highlighted.

2001

P, PROFPOKHARIYALGANESH.  2001.  Curvature tensors on A-Einstein Sasakian Manfold. Balkan John. Of Geom.& its applications vol.6, No.1. : Kenya Journal of Sciences(KJS), Abstract
This paper investigates the possibilities of applying emerging management theories and techniques to constitutionally created offices in Kenya and East African region. The benefits from application of these theories, particularly in the judicial services are highlighted.

2000

P, PROFPOKHARIYALGANESH.  2000.  Mathematics and Science for Industrial Development. Computer Age, pp. 6-8. : Kenya Journal of Sciences(KJS), Abstract
This paper investigates the possibilities of applying emerging management theories and techniques to constitutionally created offices in Kenya and East African region. The benefits from application of these theories, particularly in the judicial services are highlighted.

1998

P, PROFPOKHARIYALGANESH.  1998.  Physical Properties of some Curvature Tensors. Kenya Jour. of Sci.Ser A.. : Kenya Journal of Sciences(KJS), Abstract
This paper investigates the possibilities of applying emerging management theories and techniques to constitutionally created offices in Kenya and East African region. The benefits from application of these theories, particularly in the judicial services are highlighted.

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