
doi: 10.18576/pfda/050103
handle: 11129/7795
Recently, some extensions of the generalised gamma, beta, Gauss hypergeometric and confluent hypergeometric functions have been introduced. In this paper, we introduce generalisations of incomplete gamma, beta, Gauss, confluent and Appell's hypergeometric functions. Some integral representations, Mellin transforms, transformation formulae, differentiation formulae, difference formulae and fractional calculus formulae are obtained for these functions. © 2019 NSP.
Generalisations of incomplete Appell's hypergeometric function, Fractional calculus formulae, Generalisations of incomplete gamma and beta functions, Generalisations of incomplete Gauss and confluent hypergeometric function, Mellin transforms
Generalisations of incomplete Appell's hypergeometric function, Fractional calculus formulae, Generalisations of incomplete gamma and beta functions, Generalisations of incomplete Gauss and confluent hypergeometric function, Mellin transforms
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