Apostol Bernoulli-Fibonacci Polynomials, Apostol Euler-Fibonacci Polynomials and Their Generating Functions
Elif GÜLAL, Naim Tuğlu
Abstract
In this article, the Apostol Bernoulli-Fibonacci polynomials are defined and various properties of Apostol Bernoulli-Fibonacci polynomials are obtained. Furthermore, Apostol Euler-Fibonacci numbers and polynomials are found. In addition, harmonic-based F exponential generating functions are defined for Apostol Bernoulli-Fibonacci numbers and Apostol Euler-Fibonacci numbers.
Topics & Concepts
Fibonacci polynomialsMathematicsFibonacci numberOrthogonal polynomialsClassical orthogonal polynomialsDiscrete orthogonal polynomialsDifference polynomialsWilson polynomialsMacdonald polynomialsPure mathematicsCombinatoricsDiscrete mathematicsAdvanced Mathematical IdentitiesAdvanced Mathematical Theories and ApplicationsAdvanced Combinatorial Mathematics