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An analytical study on Mittag‐Leffler–confluent hypergeometric functions with fractional integral operator
Author(s) -
Ghanim F.,
AlJanaby Hiba F.
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6966
Subject(s) - mathematics , confluent hypergeometric function , hypergeometric function , mittag leffler function , special functions , generalized hypergeometric function , basic hypergeometric series , function (biology) , hypergeometric identity , algebra over a field , hypergeometric function of a matrix argument , interpolation (computer graphics) , exponential function , operator (biology) , pure mathematics , gamma function , fractional calculus , mathematical analysis , computer science , animation , biochemistry , chemistry , computer graphics (images) , repressor , evolutionary biology , biology , transcription factor , gene
The Mittag‐Leffler function (M‐LF) and confluent hypergeometric function were first created in relation to the interpolation problem for the exponential function. During the 20th century, the gamma function was used to introduce many formulations of these functions. Further investigation in this theme led various scholars to research numerous implementations in applied sciences and other allied disciplines. Recently, the interest in M‐LF has significantly developed and a variety of extensions and generalizations forms have been posed. In this research, we define and study a new function called Mittag‐Leffler–confluent hypergeometric function (MLCHF). Moreover, we examine the integral equations with several analytic implementations.