Open AccessFractional calculus of the $ bar H $-function
Author(s) -
Lal Sahab Singh,
Dharmendra Kumar Singh
Publication year - 2010
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.41.2010.668
Subject(s) - fractional calculus , mathematics , calculus (dental) , function (biology) , bar (unit) , order (exchange) , integration by parts , pure mathematics , mathematical analysis , physics , medicine , dentistry , finance , evolutionary biology , meteorology , economics , biology
The subject of this paper is to derive a fractional calculus formula for $ bar H $-function due to Inayat-Hussain whose based upon generalized fractional integration and differentiation operators of arbitrary complex order involving Appell function $F_3$ due to Saigo & Meada. The results are obtained in a compact form containing the Reimann-Liouville, Eredlyi-Kober and Saigo operators of fractional calculus