Finite Integral Involving the Modified Generalized Aleph-Function of Two Variables and Elliptic Integral of First Species I
DOI:
https://doi.org/10.31033/ijrasb.8.2.1Keywords:
Generalized modified Aleph-function of two variables, generalized modified I-function of two variables, generalized modified H-function of two variables, generalized modified Meijer-function of two variables, Aleph-function of two variables, I-function of two variables, H- function of two variables, Meijer G-function of two variables, Two Mellin-Barnes integrals contour, elliptic integrals of first speciesAbstract
In the present paper, we evaluate the general finite integral involving the elliptic integrals of first species and the generalized modified Aleph- function of two variables. At the end, we shall see several corollaries and remarks.
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R.P. Agarwal, "An extension of Meijer's G-function," Proc. Nat. Inst. Sci. India Part A, 31 (1965), 536-546.
M.K. Bansal and D. Kumar, On the integral operators pertaining to a family of incomplete I-functions, AIMS Mathematics 5(2) (2020), 1247-1259.
M.K. Bansal, D. Kumar, K.S. Nisar and J. Singh, Certain fractional calculus and integral transform results of incomplete Aleph-functions with applications, Math. Mech; Appli. Sci (Wiley), (2020), 1-13.
M.K. Bansal, D. Kumar, I. Khan, J. Singh and K.S. Nisar, Certain unified integrals associated with product of Mseries and incomplete H-functions, Mathematics, (7) (2019), 1-11.
B.L.J. Braaksma, Asymptotics expansions and analytic continuations for a class of Barnes-integrals, Compositio Math. 15 (1962-1964), 239-341.
Y.A. Brychkov, Handbook of special functions, Derivatives, Integrals, Series and oher formulas, CRC. Press. Taylor and Francis Group. Boca. Raton, London, New York 2008.
K.C. Gupta, and P.K. Mittal, Integrals involving a generalized function of two variables, (1972), 430-437.
D.Kumar, Generalized fractional differintegral operators of the Aleph-function of two variables, Journal of Chemical, Biological and Physical Sciences, Section C, 6(3) (2016), 1116-1131.
K S. Kumari, T.M. Vasudevan Nambisan and A.K. Rathie, A study of I-functions of two variables, Le matematiche 69(1) (2014), 285-305.
Y. Pragathi Kumar and B. Satyanarayana, A study of Psi-function, Journal of Informatics and mathematical Sciences, Vol. 12 (2) (2020), 159-171.
Y.N. Prasad and S. Prasad, (1979 -1980): Journal of scientific research, Banaras Hindu University, 30 (1), 67 -76.
A.K. Rathie, A new generalization of generalized hypergeometric functions, Le Matematiche, 52 (2) (1997), 297-310.
V.P. Saxena, The I-function, Anamaya Publishers, New Delhi, 2008.
K. Sharma, On the Integral Representation and Applications of the Generalized Function of Two Variables, International Journal of Mathematical Engineering and Science, 3(1) (2014), 1-13.
C.K. Sharma and P.L. Mishra, On the I-function of two variables and its Certain properties, Acta Ciencia Indica, 17 (1991), 1-4.
H. Singh and P. Kumar, Finite integral formulas involving multivariable Mittag-Leffler function and Modified I- function, Int. Jr. of Mathematical sciences and Application, Vol 8(2), (2018), 115-128.
L. J. Slater, Generalized Hypergeometric Functions, Cambridge Univ. Press, Cambridge, 1966.
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