- Mathematical Sciences and Applications E-Notes
- Vol: 10 Issue: 3
- Gould-Hopper Based Degenerate Truncated Bernoulli Polynomials
Gould-Hopper Based Degenerate Truncated Bernoulli Polynomials
Authors : Uğur DURAN
Pages : 125-134
Doi:10.36753/mathenot.893469
View : 7 | Download : 3
Publication Date : 2022-09-09
Article Type : Research
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