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
Published inRevista de la Academia colombiana de ciencias exactas, físicas y naturales Vol. 45; no. 176; pp. 901 - 915
Main Authors Pathan, M.A., Kumar, Hemant
Format Journal Article
LanguageEnglish
Portuguese
Published Academia Colombiana de Ciencias Exactas, Físicas y Naturales 01.09.2021
Subjects
PHYSICS, MULTIDISCIPLINARY
propagación de enfermedades infecciosas
hypergeometric functions
Función logarítmica de Mittag-Leffler
fórmulas de Rodrigues
integrales de tipo de Pochhammer extendidas
funciones hipergeométricas
complex order derivative
Rodrigues formulae
orden complejo derivada
Logarithmic Mittag-Leffler function
extended Pochhammer’s type integrals
spread of infectious diseases
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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. 
ISSN:0370-3908
2382-4980
DOI:10.18257/raccefyn.1325