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

Author

Sanchez-Ortiz, Jorge

Source

Abstract and Applied Analysis

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-5, 5 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-12-12

Country of Publication

Egypt

No. of Pages

5

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Sanchez-Ortiz, Jorge. 2018. Generalized Fractional-Order Bernoulli Functions via Riemann-Liouville Operator and Their Applications in the Evaluation of Dirichlet Series. Abstract and Applied Analysis،Vol. 2018, no. 2018, pp.1-5.
https://search.emarefa.net/detail/BIM-1114276

Modern Language Association (MLA)

Sanchez-Ortiz, Jorge. Generalized Fractional-Order Bernoulli Functions via Riemann-Liouville Operator and Their Applications in the Evaluation of Dirichlet Series. Abstract and Applied Analysis No. 2018 (2018), pp.1-5.
https://search.emarefa.net/detail/BIM-1114276

American Medical Association (AMA)

Sanchez-Ortiz, Jorge. Generalized Fractional-Order Bernoulli Functions via Riemann-Liouville Operator and Their Applications in the Evaluation of Dirichlet Series. Abstract and Applied Analysis. 2018. Vol. 2018, no. 2018, pp.1-5.
https://search.emarefa.net/detail/BIM-1114276

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1114276