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In this present paper, our aim is to introduce an extended Wright-Bessel function $J_{\alpha,q}^{\lambda,\gamma, c}(z)$ 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 $J_{\alpha,q}^{\lambda,\gamma, c}(z)$ and the obtained results are expressed in terms of Fox-Wright function. Some interesting special cases involving an extended Mittag-Leffler functions are deduced.
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참고문헌 (26)
참고문헌 신청
M. S. Abouzaid / 2016 / Some unified integrals associated with generalized Bessel-Maitland function / Int. Bull. Math. Research 3:18~23
M. A. Chaudhry / 2004 / Extended hypergeometric and confluent hypergeometric functions / Appl. Math. Comput. 159(2):589~602
M. A. Chaudhry / 2002 / On a Class of Incomplete Gamma Functions with Applications / CRC Press
최준상 / 2014 / Certain new integral formulas involving the generalized Bessel functions / 대한수학회보 51(4):995~1003
A. Erdelyi / 1953 / Higher Transcendental Functions, Vol. 1 / McGraw-Hill
M. A. Chaudhry / 2004 / Extended hypergeometric and confluent hypergeometric functions / Appl. Math. Comput. 159(2):589~602
M. A. Chaudhry / 2002 / On a Class of Incomplete Gamma Functions with Applications / CRC Press
최준상 / 2014 / Certain new integral formulas involving the generalized Bessel functions / 대한수학회보 51(4):995~1003
A. Erdelyi / 1953 / Higher Transcendental Functions, Vol. 1 / McGraw-Hill
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