Laguerre-type Bernoulli and Euler numbers and related fractional polynomials

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ricci_paolo_mathematics_2024.pdf (11.05 MB)

Date

2024

Authors

Ricci, Paolo Emilio
Srivastava, Rekha
Caratelli, Diego

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Volume Title

Publisher

Mathematics

Abstract

We extended the classical Bernoulli and Euler numbers and polynomials to introduce the Laguerre-type Bernoulli and Euler numbers and related fractional polynomials. The case of fractional Bernoulli and Euler polynomials and numbers has already been considered in a previous paper of which this article is a further generalization. Furthermore, we exploited the Laguerre-type fractional exponentials to define a generalized form of the classical Laplace transform. We show some examples of these generalized mathematical entities, which were derived using the computer algebra system Mathematica© (latest v. 14.0).

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Citation

Ricci, P. E., Srivastava, R., & Caratelli, D. (2024). Laguerre-type Bernoulli and Euler numbers and related fractional polynomials. Mathematics, 12(3), 381. https://doi.org/10.3390/math12030381

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https://doi.org/10.3390/math12030381
 https://hdl.handle.net/1828/16506

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