Volume 62, (October – Dec., 2021 Issue),
by Sunday Oluyemi
Odo-Koto, Aiyedaade, Ilorin South LGA, Kwara State, NIGERIA.
Abstract
There are many methods, in the literature, of defining the exponential,
cosine and sine functions. One method is employing series to define them.
We here furnish a clear, simple and unflustered proof of convergence of
these series.
Keywords: Convergence Ratio Test, Alternating Series Test, the nth Term Test.
1Usman A., 2Garba A. I., 2Magami M. S., 2Almu A. and 1Sayyadi N. Pages 15-18
1 Department of Mathematics and Statistics, Umaru Musa Yar’adua University, P.M.B. 2218 Katsina, Nigeria.
2 Department of Mathematics, Usmanu Danfodiyo University, P.M.B. 2346 Sokoto, Nigeria.
Abstract
This research work deals some new results on near-rings through derivations and present the commutativity of a 3-prime near-ring satisfying some differential and algebraic identities on nonzero Jordan ideals of 2-torsion free involving derivations by considering two derivations instead of one derivation and also prove some result on special class of near-rings with suitable constraints of its subsets.
Keywords: Derivation, 3-prime near-rings, 2-torsion free, Jordan ideal.
Abiodun O. Ajibade and Shuaibu A. Muhib
Department of Mathematics, Ahmadu Bello University Zaria, Nigeria
Abstract
In this article, we establish sufficient conditions for which the second order nonlinear differential equation of the form [..(..)..Œ]Œ+..(..,..)=..(..,..,..Œ) is oscillatory. Examples are given to validate some of the criteria.
Keywords: second order, oscillation, nonlinear differential equations
1.
by Folorunso Isola Akinwale 1 and Jamiu Olusegun Hamzat 2
1 Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology
Ogbomoso, P.M.B. 4000, Ogbomoso Nigeria.
2 Department of Mathematics, University of Lagos, Akoka, Lagos State, Nigeria.
Abstract
In this work, some properties of the Fekete-Szego functional for certain
generalized class of analytic functions involving logistic sigmoid and Bazilevic type functions are obtained.
Keywords: Analytic function, Univalent function, Bazilevic, Sigmoid, Starlike, Spiralike function.