Gould-Hopper Based Degenerate Truncated Bernoulli Polynomials

Year 2022, , 125 - 134, 09.09.2022

Uğur Duran

https://doi.org/10.36753/mathenot.893469

Abstract

In this study, we consider the truncated degenerate Bernoulli polynomials based on the Gould-Hopper polynomials and examine diverse properties and
formulas covering addition formulas, correlations and derivation property. Then, we derive some interesting implicit summation formulas and symmetric
identities. Moreover, we define Gould-Hopper based truncated degenerate Bernoulli polynomials of order $r$ and give some of their properties and
relations.

Keywords

Degenerate exponential function, truncated exponential function, Bernoulli polynomials, Gould-Hopper polynomials, exponential generating function

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