Note on generalized hypergeometric function

Rao, Snehal B.; Shukla, A. K.

doi:10.1080/10652469.2013.773327

Cited by 5 publications

(3 citation statements)

References 3 publications

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“…Due to great potential and significant role of special functions especially hypergeometric functions in various problems occurring in mathematical physics, engineering [8] [9], the author has motivated to further investigate the topic. Several generalizations of hypergeometric functions have been made by many authors [10] [11]. Recently Rao [12] defined Wright type generalized hypergeometric function via fractional calculus.…”

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confidence: 99%

Modified Double Zeta Function and Its Properties

Khan¹

2016

APM

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The present paper aims at introducing and investigating a new class of generalized double zeta function i.e. modified double zeta function which involves the Riemann, Hurwitz, Hurwitz-Lerch, Barnes double zeta function and Bin-Saad generalized double zeta function as particular cases. The results are obtained by suitably applying Riemann-Liouville type and Tremblay fractional integral and differential operators. We derive the expansion formula for the proposed function with some of its properties via fractional operators and discuss the link with known results.

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confidence: 99%

Modified Double Zeta Function and Its Properties

Khan¹

2016

APM

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“…whose various properties have been studied by Rao et al [8,9]. Recently, Parmar [6] introduced the following extension of the τ -hypergeometric function (6) as…”

Section: Introductionmentioning

confidence: 99%

Generating Functions for the Extended Wright Type Hypergeometric Function

Jana¹,

Maheshwari²,

Shukla³

2017

Communications of the Korean Mathematical Society

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“…Diverse generalizations of the Gauss hypergeometric function 2 F 1 have been presented by many authors (see, e.g., [2,13,[15][16][17][23][24][25]). Among other things, we choose to recall the following τ-hypergeometric function (see [23])…”

Section: Introductionmentioning

confidence: 99%