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321009

FINITE INTEGRALS INVOLVING INCOMPLETE ALEPH FUNCTIONS, EXTENSION OF THE MITTAG-LEFFLER FUNCTION AND ELLIPTIC INTEGRAL OF FIRST SPECIES

Article

Last updated: 29 Dec 2024

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Tags

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Abstract

In recent years, many authors have explored wide variety of in-
tegrals involving special functions. To continue the study, in the present pa-
per, we evaluate the general finite integral involving the elliptic integral of
first species, extension of the Mittag-Leffler function and the incomplete Aleph-
functions by application of known integral given by Brychkov. At the end, in
consequence of general character of functions involved in this study, we shall
see new results as several corollaries.

DOI

10.21608/jfca.2023.321009

Volume

14

Article Issue

2

Related Issue

39573

Issue Date

2023-07-01

Receive Date

2023-10-11

Publish Date

2023-07-01

Page Start

1

Page End

12

Print ISSN

2090-584X

Online ISSN

2090-5858

Link

https://jfca.journals.ekb.eg/article_321009.html

Detail API

https://jfca.journals.ekb.eg/service?article_code=321009

Order

321,009

Type

Regular research papers

Type Code

2,646

Publication Type

Journal

Publication Title

Journal of Fractional Calculus and Applications

Publication Link

https://jfca.journals.ekb.eg/

MainTitle

FINITE INTEGRALS INVOLVING INCOMPLETE ALEPH FUNCTIONS, EXTENSION OF THE MITTAG-LEFFLER FUNCTION AND ELLIPTIC INTEGRAL OF FIRST SPECIES

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Type

Article

Created At

18 Dec 2024