Abstract and Applied Analysis

Generalized Fractional-Order Bernoulli Functions via Riemann-Liouville Operator and Their Applications in the Evaluation of Dirichlet Series

Jorge Sanchez-Ortiz

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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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Abstr. Appl. Anal., Volume 2018 (2018), Article ID 4875916, 5 pages.

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

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Sanchez-Ortiz, Jorge. Generalized Fractional-Order Bernoulli Functions via Riemann-Liouville Operator and Their Applications in the Evaluation of Dirichlet Series. Abstr. Appl. Anal. 2018 (2018), Article ID 4875916, 5 pages. doi:10.1155/2018/4875916. https://projecteuclid.org/euclid.aaa/1547089413

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