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http://dx.doi.org/10.4134/CKMS.c170039

EXTENDED WRIGHT-BESSEL FUNCTION AND ITS PROPERTIES  

Arshad, Muhammad (Department of Mathematics International Islamic University)
Mubeen, Shahid (Department of Mathematics University of Sargodha)
Nisar, Kottakkaran Sooppy (Department of Mathematics College of Arts and Science-Wadi Aldawaser)
Rahman, Gauhar (Department of Mathematics International Islamic University)
Publication Information
Communications of the Korean Mathematical Society / v.33, no.1, 2018 , pp. 143-155 More about this Journal
Abstract
In this present paper, our aim is to introduce an extended Wright-Bessel function $J^{{\lambda},{\gamma},c}_{{\alpha},q}(z)$ which is established with the help of the extended beta function. Also, we investigate certain integral transforms and generalized integration formulas for the newly defined extended Wright-Bessel function $J^{{\lambda},{\gamma},c}_{{\alpha},q}(z)$ and the obtained results are expressed in terms of Fox-Wright function. Some interesting special cases involving an extended Mittag-Leffler functions are deduced.
Keywords
gamma function; generalized hypergeometric function; Oberhettinger formula; Wright-Bessel function; generalized Wright function; Mittag-Leffler function;
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Times Cited By KSCI : 2  (Citation Analysis)
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