Gould-Hopper Based Degenerate Truncated Bernoulli Polynomials

Uğur Duran

doi:10.36753/mathenot.893469

EN

Gould-Hopper Based Degenerate Truncated Bernoulli Polynomials

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

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Uğur Duran ^*
0000-0002-5717-1199
Türkiye

Publication Date

September 9, 2022

Submission Date

March 9, 2021

Acceptance Date

July 6, 2021

Published in Issue

Year 2022 Volume: 10 Number: 3

DOI

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

IZ

https://izlik.org/JA34DB97ZK

APA

Duran, U. (2022). Gould-Hopper Based Degenerate Truncated Bernoulli Polynomials. Mathematical Sciences and Applications E-Notes, 10(3), 125-134. https://doi.org/10.36753/mathenot.893469

AMA

1.Duran U. Gould-Hopper Based Degenerate Truncated Bernoulli Polynomials. Math. Sci. Appl. E-Notes. 2022;10(3):125-134. doi:10.36753/mathenot.893469

Chicago

Duran, Uğur. 2022. “Gould-Hopper Based Degenerate Truncated Bernoulli Polynomials”. Mathematical Sciences and Applications E-Notes 10 (3): 125-34. https://doi.org/10.36753/mathenot.893469.

EndNote

Duran U (September 1, 2022) Gould-Hopper Based Degenerate Truncated Bernoulli Polynomials. Mathematical Sciences and Applications E-Notes 10 3 125–134.

IEEE

[1]U. Duran, “Gould-Hopper Based Degenerate Truncated Bernoulli Polynomials”, Math. Sci. Appl. E-Notes, vol. 10, no. 3, pp. 125–134, Sept. 2022, doi: 10.36753/mathenot.893469.

ISNAD

Duran, Uğur. “Gould-Hopper Based Degenerate Truncated Bernoulli Polynomials”. Mathematical Sciences and Applications E-Notes 10/3 (September 1, 2022): 125-134. https://doi.org/10.36753/mathenot.893469.

JAMA

1.Duran U. Gould-Hopper Based Degenerate Truncated Bernoulli Polynomials. Math. Sci. Appl. E-Notes. 2022;10:125–134.

MLA

Duran, Uğur. “Gould-Hopper Based Degenerate Truncated Bernoulli Polynomials”. Mathematical Sciences and Applications E-Notes, vol. 10, no. 3, Sept. 2022, pp. 125-34, doi:10.36753/mathenot.893469.

Vancouver

1.Uğur Duran. Gould-Hopper Based Degenerate Truncated Bernoulli Polynomials. Math. Sci. Appl. E-Notes. 2022 Sep. 1;10(3):125-34. doi:10.36753/mathenot.893469