New degenerate Bernoulli, Euler, and Genocchi polynomials

Orli Herscovici; Toufik Mansour

doi:10.1515/puma-2015-0037

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New degenerate Bernoulli, Euler, and Genocchi polynomials

Pure Mathematics and Applications

Volume 29 (2020): Issue 1 (December 2020)

By: Orli Herscovici and Toufik Mansour

Open Access

|Dec 2020

Abstract

We introduce new generalizations of the Bernoulli, Euler, and Genocchi polynomials and numbers based on the Carlitz-Tsallis degenerate exponential function. Also, we present generalizations of some familiar identities and connection between these types of Bernoulli, Euler, and Genocchi polynomials. Moreover, we establish new analogues of the Euler identity for degenerate Bernoulli polynomials and numbers.

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Articles in this issue

DOI: https://doi.org/10.1515/puma-2015-0037 | Journal eISSN: 1788-800X

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Language: English

Page range: 1 - 16

Submitted on: Jan 26, 2019

Accepted on: May 27, 2019

Published on: Dec 24, 2020

Published by: Corvinus University of Budapest

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

degenerate Bernoulli polynomials and numbers,

degenerate Euler polynomials,

degenerate Genocchi polynomials,

Euler identity for Bernoulli numbers,

Carlitz-Tsallis degenerate exponential function,

umbral calculus

Related subjects:

Computer sciences,

Theoretical computer sciences,

Business and economics,

Mathematics and statistics for economists,

Mathematics,

Analysis,

Differential equations and dynamical systems

© 2020 Orli Herscovici, Toufik Mansour, published by Corvinus University of Budapest
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 29 (2020): Issue 1 (December 2020)