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2018 Generalized Fractional-Order Bernoulli Functions via Riemann-Liouville Operator and Their Applications in the Evaluation of Dirichlet Series
Jorge Sanchez-Ortiz
Abstr. Appl. Anal. 2018: 1-5 (2018). DOI: 10.1155/2018/4875916

Abstract

In this work, we define a new class of functions of the Bernoulli type using the Riemann-Liouville fractional integral operator and derive a generating function for these class generalized functions. Then, these functions are employed to derive formulas for certain Dirichlet series.

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Jorge Sanchez-Ortiz. "Generalized Fractional-Order Bernoulli Functions via Riemann-Liouville Operator and Their Applications in the Evaluation of Dirichlet Series." Abstr. Appl. Anal. 2018 1 - 5, 2018. https://doi.org/10.1155/2018/4875916

Information

Received: 5 September 2018; Accepted: 29 November 2018; Published: 2018
First available in Project Euclid: 10 January 2019

zbMATH: 07029289
MathSciNet: MR3894338
Digital Object Identifier: 10.1155/2018/4875916

Rights: Copyright © 2018 Hindawi

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