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THE COMPOSITION OF HURWITZ-LERCH ZETA FUNCTION WITH PATHWAY INTEGRAL OPERATOR

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초록

The aim of the present investigation is to establish the composition formulas for the pathway fractional integral operator connected with Hurwitz-Lerch zeta function and extended Wright-Bessel function. Some interesting special cases have also been discussed.

Abstract

The aim of the present investigation is to establish the composition formulas for the pathway fractional integral operator connected with Hurwitz-Lerch zeta function and extended Wright-Bessel function. Some interesting special cases have also been discussed.

참고문헌 (16)

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  4. 최준상, "Certain Inequalities Involving Pathway Fractional Integral Operators", Kyungpook Mathematical Journal, 56(4), pp.1161~1168 (2016), 경북대학교 자연과학대학 수학과
  5. A. Erdelyi, "Higher Transcendental Functions. Vol.1" (1955), McGraw-Hill
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  10. S. S. Nair, "Pathway fractional integration operator", Fract. Calc. Appl. Anal, 12(3), pp.237~252 (2009)
  11. Rakesh K. Parmar, "On a Certain Extension of the Hurwitz-Lerch Zeta Function", Annals of West University of Timisoara - Mathematics, 52(2), pp.157~170 (2014), Walter de Gruyter GmbH[DOI]
  12. T. Pohlen, "The Hadamard product and universal power series", Ph.D, pp.2009
  13. G. Rahman, "A new extension of Hurwitz-Lerch zeta function" (2018)
  14. R. K. Saxena, "Integral transforms of the k-generalized MittagLeffler function E γ,τk,α,β(z)", Matematiche (Catania), 69(2), pp.7~16 (2014)[DOI]
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  16. E. M. Wright, "The asymptotic expansion of the generalized hypergeometric functions", J. London Math. Soc, 10, pp.286~293 (1935)

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