Gould-Hopper Based Degenerate Truncated Bernoulli Polynomials

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Mathematical Sciences and Applications E-Notes
Volume:10 Issue:3
Gould-Hopper Based Degenerate Truncated Bernoulli Polynomials

Gould-Hopper Based Degenerate Truncated Bernoulli Polynomials

Pages : 125-134

View : 26 | Download : 8

Publication Date : 2022-09-09

Article Type : Research Paper

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 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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