Open AccessCertain investigations in the field of special functions
Author(s) -
Maisoon Ahmed Kulib,
Ahmed Ali Al-Gonah,
Salem Saleh Barahmah
Publication year - 2020
Publication title -
journal of mathematical analysis and modeling
Language(s) - English
Resource type - Journals
ISSN - 2709-5924
DOI - 10.48185/jmam.v1i1.41
Subject(s) - hypergeometric function , generalized hypergeometric function , confluent hypergeometric function , mathematics , function (biology) , pure mathematics , mellin transform , variety (cybernetics) , field (mathematics) , basic hypergeometric series , euler's formula , algebra over a field , mathematical analysis , fourier transform , biology , statistics , evolutionary biology
Motivated mainly by a variety of applications of Euler's Beta, hypergeometric, and confluent hypergeometric functions together with their extensions in a wide range of research fields such asengineering, chemical, and physical problems. In this paper, we introduce modified forms of some extended special functions such as Gamma function, Beta function, hypergeometric function and confluent hypergeometric function by making use of the idea given in reference \cite{9}. Also, certain investigations including summation formulas, integral representations and Mellin transform of these modified functions are derived. Further, many known results are obtained asspecial cases of our main results.