Abstract

PATHAN, M. A.  and  KUMAR, Hemant. On A Logarithmic Mittag-Leffler Function, its Properties and Applications. Rev. acad. colomb. cienc. exact. fis. nat. [online]. 2021, vol.45, n.176, pp.901-915.  Epub Feb 04, 2022. ISSN 0370-3908.  https://doi.org/10.18257/raccefyn.1325.

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. 2010Mathematics Subject Classification: 33E12, 33A17, 34A08.

Keywords : Logarithmic Mittag-Leffler function; complex order derivative; extended Pochhammer’s type integrals; Rodrigues formulae; hypergeometric functions; spread of infectious diseases.

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