Open AccessOn A Logarithmic Mittag-Leffler Function, its Properties and Applications
Author(s) -
M. A. Pathan,
Hemant Kumar
Publication year - 2021
Publication title -
revista de la academia colombiana de ciencias exactas, físicas y naturales/revista de la academia colombiana de ciencias exactas, físicas y naturales
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.124
H-Index - 2
eISSN - 2382-4980
pISSN - 0370-3908
DOI - 10.18257/raccefyn.1325
Subject(s) - logarithm , hypergeometric function , mathematics , pure mathematics , point (geometry) , function (biology) , extension (predicate logic) , algebra over a field , mathematical analysis , computer science , geometry , evolutionary biology , biology , programming language
In this paper, we introduce a logarithmic Mittag-Leffler function and discuss some of its properties. The application of these properties become helpful in extension of Pochhammer’s type contour integral representations and Rodrigues formulae of some known hypergeometric functions. On application point of view, some relations are discussed which are useful in interpreting the phenomenon of spread of infectious diseases in terms of Lauricella’s multiple hypergeometric functions.