FINITE INTEGRALS INVOLVING INCOMPLETE ALEPH FUNCTIONS, EXTENSION OF THE MITTAG-LEFFLER FUNCTION AND ELLIPTIC INTEGRAL OF FIRST SPECIES
(2023). FINITE INTEGRALS INVOLVING INCOMPLETE ALEPH FUNCTIONS, EXTENSION OF THE MITTAG-LEFFLER FUNCTION AND ELLIPTIC INTEGRAL OF FIRST SPECIES. EKB Journal Management System, 14(2), 1-12. doi: 10.21608/jfca.2023.321009
. "FINITE INTEGRALS INVOLVING INCOMPLETE ALEPH FUNCTIONS, EXTENSION OF THE MITTAG-LEFFLER FUNCTION AND ELLIPTIC INTEGRAL OF FIRST SPECIES". EKB Journal Management System, 14, 2, 2023, 1-12. doi: 10.21608/jfca.2023.321009
(2023). 'FINITE INTEGRALS INVOLVING INCOMPLETE ALEPH FUNCTIONS, EXTENSION OF THE MITTAG-LEFFLER FUNCTION AND ELLIPTIC INTEGRAL OF FIRST SPECIES', EKB Journal Management System, 14(2), pp. 1-12. doi: 10.21608/jfca.2023.321009
FINITE INTEGRALS INVOLVING INCOMPLETE ALEPH FUNCTIONS, EXTENSION OF THE MITTAG-LEFFLER FUNCTION AND ELLIPTIC INTEGRAL OF FIRST SPECIES. EKB Journal Management System, 2023; 14(2): 1-12. doi: 10.21608/jfca.2023.321009

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

Journal of Fractional Calculus and Applications
Volume 14, Issue 2, July 2023, Page 1-12  XML PDF (457.5 K)
Document Type: Regular research papers
DOI: 10.21608/jfca.2023.321009
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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.

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