Department of Mathematics
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On nondecreasing 2plane trees
(Ghaem Technology Institute of Higher Education, 20240808)In this paper, we have introduced the set of nondecreasing 2plane trees. These are plane trees whose vertices receive labels from the set {1, 2} such that the sum of labels of adjacent vertices is at most 3 and that the ... 
Bijections for classes of labelled trees.
(University of Isfahan, 20240901)Trees are acyclic connected graphs. Plane trees, dary trees, binary trees, noncrossing trees and their generalizations, which are families of trees, have been enumerated by many authors using various statistics. These ... 
Bijections of plane Husimi graphs and certain combinatorial structures
(EU Academic Publishers, 20231019)Plane Husimi graphs are combinatorial structures obtained when we replace edges in plane trees with complete graphs such that the resultant structures are connected and cycle free. The formula that counts these structures ... 
Bijections for classes of labelled trees
(University of Isfahan, 20240109)Trees are acyclic connected graphs. Plane trees, dary trees, binary trees, non crossing trees and their generalizations, which are families of trees, have been enumerated by many authors using various statistics. These ... 
Enumeration of plane and dary treelike structures
(Annals of Mathematics and Computer Science, 20230826)Trees are generalized using various approaches such as considering treelike structures. Some of the treelike structures are Husimi graphs, cacti and oriented cacti. These graphs have been enumerated according to number ... 
Reachability in complete tary trees
(Annals of Mathematics and Computer Science, 20231001)Mathematical trees such as Cayley trees, plane trees, binary trees, noncrossing trees, tary trees among others have been studied extensively. Reachability of vertices as a statistic has been studied in Cayley trees, plane ... 
On the Numerical Solution of Boundary Value Problem (BVP) of the Ordinary Differential Equation (ODE)  The Case of SteadyState BioHeat Equation with Combined Heat Transfer Coefficient by PseudoSpectral Collocation Method
(European Journal of Engineering and Technology Research, 20230915)Spectral methods for the solution of a boundary value problem of an ordinary differential equation are reviewed with particular emphasis laid on pseudospectral collocation method. The pseudocollocation method is then ... 
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 ...