Generalized techniques for constructing the generating functions of some algebraic and rational functions

Chika Moore 1, Justina Ebele Okeke 2 and Elias Ikechukwu Chukwuma 2

1 Department of Mathematics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Anambra State, Nigeria
2 Department of Mathematics, Faculty of Physical Sciences, Chukwuemeka Odumegwu Ojukwu University, Anambra State, Nigeria.
 
Research Article
World Journal of Advanced Research and Reviews, 2024, 23(01), 202–212
Article DOI: 10.30574/wjarr.2024.23.1.1929
 
Publication history: 
Received on 18 May 2024; revised on 26 June 2024; accepted on 28 June 2024
 
Abstract: 
We construct generating functions for general forms of certain classes of algebraic and rational functions using only basic tools of Mathematics. This approach unifies, extends and generalizes several techniques of constructing generating functions.
 
Keywords: 
Power series; Algebraic function; Rational function; Sequence of numbers and differentiable function.
 
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