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

Jorge Sanchez-Ortiz

Abstract and Applied Analysis, 2018, vol. 2018, issue 1

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.

Date: 2018
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https://doi.org/10.1155/2018/4875916

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2018:y:2018:i:1:n:4875916

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