GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
Copyright policy )GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
Summary: The main object of this paper is to present generalization of extended beta function, extended hypergeometric and confluent hypergeometric function introduced by Chaudhry et al. and obtained various integral representations, properties of beta function, Mellin transform, beta distribution, differentiation formulas, transform formulas, recurrence relations, summation formula for these new generalization.
Classical hypergeometric functions, \({}_2F_1\), extended beta function, extended confluent, Confluent hypergeometric functions, Whittaker functions, \({}_1F_1\), hypergeometric function, beta distribution, Gamma, beta and polygamma functions, entended hypergeometric function, Mellin transform
Classical hypergeometric functions, \({}_2F_1\), extended beta function, extended confluent, Confluent hypergeometric functions, Whittaker functions, \({}_1F_1\), hypergeometric function, beta distribution, Gamma, beta and polygamma functions, entended hypergeometric function, Mellin transform
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).33 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!