Department of Mathematics
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Bijections of kplane trees
(Open journal of discrete Applied Mathematics, 2022)A kplane tree is a tree drawn in the plane such that the vertices are labeled by integers in the set {1, 2, . . . , k}, the children of all vertices are ordered, and if (i, j) is an edge in the tree, where i and j are ... 
Refined enumeration of kplane trees and knoncrossing trees
(2022)A kplane tree is a plane tree whose vertices are assigned labels between 1 and k in such a way that the sum of the labels along any edge is no greater than k+1. These trees are known to be related to (k+1)ary trees, and ... 
Application of binary logistic regression model: determinants of contraceptive utilization.
(IJRAR, 2020)Contraceptives uptake among the youth has been a sensitive and controversial issue in the society that has resulted to various social problems that include unwanted pregnancies and sexual transmitted infections among ... 
Three Dimensional Mathematical Models for ConvectiveDispersive Flow of Pesticides in Porous Media
(IJESC, 2018)The transport of solutes through porous media where chemicals undergo adsorption or change process on the surface of the porous materials has been a subject of research over years. Usage of pesticides has resulted in ... 
Norm Properties of S Universal Operators
(Communications in Advanced Mathematical Sciences, 2020)We investigate the norm properties of a generalized derivation on a norm ideal J in B(H), the algebra of bounded linear operators on a Hilbert space H. Specifically, we extend the concept of S−universality from the inner ... 
Spectra of Composition Groups on the Weighted Dirichlet Space of the Upper HalfPlane
(Springer, 2020)We prove that the group of weighted composition operators induced by contin uous automorphism groups of the upper half plane U is strongly continuous on the weighted Dirichlet space of U, Dα(U). Further, we investigate ... 
On the Norm of a Generalized Derivation
(HIKARI Ltd, 2019)Let H be an infinite dimensional complex Hilbert space and B(H) the algebra of all bounded linear operators on H. For two bounded operators A, B ∈ B(H), the map δAB : B(H) → B(H) is a generalized inner derivation operator ... 
Farmer versus Researcher data collection methodologies: Understanding variations and associated tradeoffs
(2019)The number of nonexperts (such as farmers) participating in research activities has increased over the years, with the aim of them addressing their heterogeneous conditions. The situation has resulted in them being ... 
Comparative Analysis of Spectral Theory of Second Order Difference and Differential Operators with Unbounded Odd Coefficient
(KYUNGPOOK, 2020)We show that selfadjoint operator extensions of minimal second order differ ence operators have only discrete spectrum when the odd order coefficient is unbounded but grows or decays according to specific conditions. ... 
NOTIONS OF CONTINUITY FOR FINITE RANK MAPS IN THE SPACE OF NORMAL OPERATORS
(2020)We show that a natural extension of a continuous finite rank operator to an arbitrary Hilbert space is continuous. We also give sufficient conditions to calculate delta epsilon numbers in all the domains of T. In addition, we ... 
On some properties of generalized Fibonacci polynomials
(Open Journal of Discrete Applied Mathematics, 2020)Fibonacci polynomials have been generalized mainly by two ways: by maintaining the recurrence relation and varying the initial conditions and by varying the recurrence relation and maintaining the initial conditions. In ... 
Models for Level Premiums Payable to Benevolent Funds
(Applied Mathematical Sciences, 2020)The application of multiple life actuarial calculations have been stud ied by many authours for instance Elizondo [3] studied the construction of multiple decrement models from associated single decrement expe riences.He ... 
On Generalized Fibonacci Numbers
(Communications in Advanced Mathematical Sciences, 2020)Fibonacci numbers and their polynomials have been generalized mainly by two ways: by maintaining the recurrence relation and varying the initial conditions, and by varying the recurrence relation and maintaining the initial ... 
Refined enumeration of 2noncrossing trees
(Academic Publishing House, 2021)A 2noncrossing tree is a connected graph without cycles that can be drawn in the plane with its vertices on the boundary of circle such that the edges are straight line segments that do not cross and all the vertices ... 
On Noncrossing and Plane TreeLike Structures
(Communications in Advanced Mathematical Sciences, 2021)Mathematical trees are connected graphs without cycles, loops and multiple edges. Various trees such as Cayley trees, plane trees, binary trees, dary trees, noncrossing trees among others have been studied extensively. ... 
Reachability results in labelled tary trees
(Open Journal of Mathematical Sciences, 2021)In this paper, we prove some new formulas in the enumeration of labelled tary trees by path lengths. We treat trees having their edges oriented from a vertex of lower label towards a vertex of higher label. Among other ... 
Effects of inclination angle and free convection on velocity profile for a steady 2dimensional magnetohydrodynamic fluid flow in an inclined cylindrical pipe
(European Journal of Engineering and Technology Research, 2021)Effects of inclination and free convection on velocity profile for magnetohydrodynamic (MHD) fluid flow in an inclined cylindrical pipe has been investigated. The governing partial differential equations are the equations ... 
Influence of Teacher’s Perception of inService Program on Quality of Teaching Mathematics
(International Journal of Innovative Research and Development, 2020)Preservice training is not adequate to last teachers for their entire career. Due to advancement in knowledge, technology and curriculum, teachers ought to update on teaching methodologies through Inservice Education and ... 
Incremental Modernization of Statistics Teaching and Curriculum at Maseno University, Kenya
(International Association of Statistical Education, 2010)Modernisation of statistics teaching is a continual problem the world over. The advances in statistical methods and tools along with the growing demand of applied practitioners creates a dual need of people with the ... 
Velocity Profile for Magnetohydrodynamic Flow in Straight Horizontal Elliptical Pipe
(Applied Mathematical Sciences, 2021)Velocity profile for Magnetohydrodynamic (MHD) fluid flow in a straight long pipe with elliptical cross section has been investigated. Governing equations are partial differential equations comprising Ohm’s law of ...