On a logarithmic Mittag-Leffler function, its properties and applications

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 po...

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Bibliographic Details
Main Authors: Kumar, H. (Author), Pathan, M.A (Author)
Format: Article
Language:English
Published: Colombian Academy of Exact, Physical and Natural Sciences 2021
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Online Access:View Fulltext in Publisher
Description
Summary: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. © 2021 Colombian Academy of Exact, Physical and Natural Sciences. All rights reserved.
ISBN:03703908 (ISSN)
DOI:10.18257/raccefyn.1325