Open AccessCertain expansion formulae of incomplete $I$-functions associated with the Leibniz rule
Author(s) -
Sapna Meena,
Sanjay Bhatter,
Kamlesh Jangid,
Sunıl Dutt Purohıt
Publication year - 2021
Publication title -
journal of fractional calculus and nonlinear systems
Language(s) - English
Resource type - Journals
ISSN - 2709-9547
DOI - 10.48185/jfcns.v2i1.231
Subject(s) - mathematics , function (biology) , riemann hypothesis , type (biology) , incomplete gamma function , pure mathematics , gamma function , evolutionary biology , biology , ecology
In this paper, we determine some expansion formulae of the incomplete I-functions in affiliation with the Leibniz rule for the Riemann-Liouville type derivatives. Further, expansion formulae of the incomplete $\overline{I}$-function, incomplete $\overline{H}$-function, and incomplete H-function are conferred as extraordinary instances of our primary outcomes.