Open AccessTransformation formulas of incomplete hypergeometric functions via fractional calculus operators
Author(s) -
Kamlesh Jangid,
Sunıl Dutt Purohıt,
D. L. Suthar
Publication year - 2020
Publication title -
bulletin of the "transilvania" university of braşov. series iii, mathematics, informatics, physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.203
H-Index - 5
eISSN - 2065-216X
pISSN - 2065-2151
DOI - 10.31926/but.mif.2020.13.62.2.15
Subject(s) - transformation (genetics) , mathematics , hypergeometric function , fractional calculus , countable set , basic hypergeometric series , generalized hypergeometric function , calculus (dental) , order (exchange) , pure mathematics , function (biology) , algebra over a field , hypergeometric identity , hypergeometric function of a matrix argument , medicine , biochemistry , chemistry , dentistry , finance , evolutionary biology , biology , economics , gene
The desire for present article is to derive from the application of fractional calculus operators a transformation that expresses a potentially useful incomplete hypergeometric function in various forms of a countable sum of lesser-order functions. Often listed are numerous (known or new) specific cases and implications of the findings described herein