논문KCI 등재
THE COMPOSITION OF HURWITZ-LERCH ZETA FUNCTION WITH PATHWAY INTEGRAL OPERATOR
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
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)
- P. Agarwal, "The unified pathway fractional integral formulae", J. Fract. Calc. Appl, 4(1), pp.105~112 (2013)
- Muhammad Arshad, "Extended Wright-Bessel function and its properties", 대한수학회논문집, 33(1), pp.143~155 (2018), 대한수학회
- M. A. Chaudhry, "Extension of Euler’s beta function", J. Comput. Appl. Math, 78(1), pp.19~32 (1997)[DOI]
- 최준상, "Certain Inequalities Involving Pathway Fractional Integral Operators", Kyungpook Mathematical Journal, 56(4), pp.1161~1168 (2016), 경북대학교 자연과학대학 수학과
- A. Erdelyi, "Higher Transcendental Functions. Vol.1" (1955), McGraw-Hill
- M. Garg, "A further study of general Hurwitz-Lerch zeta function", Algebras Groups Geom, 25(3), pp.311~319 (2008)
- S. P. Goyal, "On the generalized Riemann zeta functions and the generalized Lambert transform", Gan. ita Sandesh, 11(2), pp.99~108 (1997)
- A. M. Mathai, "A pathway to matrix-variate gamma and normal densities", Linear Algebra Appl, 396, pp.317~328 (2005)[DOI]
- A. M. Mathai, ", On generalized distributions and pathways", Phys. Lett. A, 372, pp.2109~2113 (2008)
- S. S. Nair, "Pathway fractional integration operator", Fract. Calc. Appl. Anal, 12(3), pp.237~252 (2009)
- 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]
- T. Pohlen, "The Hadamard product and universal power series", Ph.D, pp.2009
- G. Rahman, "A new extension of Hurwitz-Lerch zeta function" (2018)
- 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]
- M. Shadab, "An extension of beta function and its application", Far East J. Math, Sci, 103(1), pp.235~251 (2018)
- E. M. Wright, "The asymptotic expansion of the generalized hypergeometric functions", J. London Math. Soc, 10, pp.286~293 (1935)
관련 논문AI추천
Pathway fractional integral operator associated with struve function of first kindK.S. NISAR, Praveen Agarwal, S.R. MONDAL장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호PATHWAY FRACTIONAL INTEGRAL FORMULAS INVOLVING BESSEL FUNCTIONS OF THE FIRST KIND최준상, P. Agarwal장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제2호SOME PROPERTIES OF GENERALIZED BESSEL FUNCTION ASSOCIATED WITH GENERALIZED FRACTIONAL CALCULUS OPERATORSAjay Kumar Shukla, Ankit Pal, Ranjan Kumar Jana대한수학회 · 대한수학회논문집2021 · 제36권 제1호Incomplete extended Hurwitz-Lerch zeta functions and associated propertiesRakesh K. Parmar, Ram K. Saxena대한수학회 · 대한수학회논문집2017 · 제32권 제2호An extension of the extended Hurwitz-Lerch Zeta Functions of Two Variables최준상, Rakesh K. Parmar, Ram K. Saxena대한수학회 · 대한수학회보2017 · 제54권 제6호A FURTHER GENERALIZATION OF EXTENDED HURWITZ-LERCH ZETA FUNCTION OF TWO VARIABLESPRAKRITI RAI, SANIYA BATRA장전수학회 · Advanced Studies in Contemporary Mathematics2020 · 제30권 제3호
이 간행물의 다른 논문 (14건)
On the structure of zero-divisor elements in a near-ring of skew formal power seriesAbdollah Alhevaz, Fatemeh Shokuhifar, Ebrahim Hashemipp. 197-207Symmetricity and reversibility from the perspective of nilpotentsBurcu Ungor, Abdullah Harmanci, Handan Kosepp. 209-227Generalized derivations on prime rings satisfying certain identitiesRadwan Mohammed Al-Omary, Syed Khalid Naumanpp. 229-238Extended generalized Bateman's matrix polynomialsMosaed M. Makkypp. 239-246Biharmonic-Kirchhoff type equation involving critical Sobolev exponent with singular termKamel Tahri, Fares Yazidpp. 247-256
