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