Fractional Integration of the Product of two Multivariable Gimel-Functions and a General Class of Polynomials
general class of multivariable polynomial, saigo-maeda operator, saigo operator, multivariable gimel-function
Abstract
A significantly large number of earlier works on the subject of fractional calculus give the interesting account of the theory and applications of fractional calculus operators in many different areas of mathematical analysis (such as integral equations, special functions, the summation of series, etc.) paper is to study and develop the Saigo give the images of the product of two multivariable Gimel multivariable polynomials in Saigo-Saigo-Maeda operators, multivariable Gimel large number of new and known theorems involving Riemann fractional integral operators and several special functions.
Downloads
How to Cite
References
P (2012) Fractional Integration of the Product of Two H-functions and a General Class of Polynomials. 5(3), 144-153.
P (2013) Fractional Integration of the Product of Two Multivariables H-Function and a General Class of Polynomials. 23, 359-374.
F Ayant (2017) A Fractional Integration of the Product of Two Multivariable Aleph-Functions and a General Class of Polynomials I. 7(2), 181-198.
Frederic Ayant (2018) Some Transformations and Identities for Multivariable Gimel Function. 59(4), 248-255.
B Braaksma (1962) Asymptotics expansions and analytic continuations for a class of Barnes -integrals. 15, 239-341.
L Debnath, D Bhatta (2006) Integral Transforms and Their Applications.
K Gupta, K Gupta, A Gupta (2010) Generalized fractional integration of the product of two H-functions. 9(3), 203-212.
S Kalla, R Saxena (1969) Integral operators involving hypergeometric functions. 108(3), 231-234.
S Kalla, R Saxena (1974) Integral operators involving hypergeometric functions. 108(3), 231-234.
A Kilbas (2005) Fractional calculus of the generalized Wright function. 8(2), 113-126.
A Kilbas, M Saigo (2004) H-transforms, theory and applications.
Anatoly Kilbas, Nicy Sebastian (2008) Generalized fractional integration of Bessel function of the first kind. 19(12), 869-883.
Anatoly Kilbas, Hari Srivastava, Juan Trujillo (2006) Preface. 540, vii-x.
Virginia Kiryakova (1994) A Generalized Fractional Calculus and Integral Transforms. 205-217.
V Kiryakova (2008) A brief story about the operators of the generalized fractional calculus. 11(2), 203-220.
E Love (1967) Some Integral Equations Involving Hypergeometric Functions. 15(3), 169-198.
O Marichev (1974) Volterra equation of Mellin convolution type with a Horn function in the kernel (In Russian). 1, 128-129.
Adam Mcbride (1982) Fractional Powers of a Class of Ordinary Differentilal Operators. s3-45(3), 519-546.
K Miller, B Ross (1993) An Introduction to the Fractional Calculus and Differential Equations.
Y Prasad (1986) Multivariable I-function. 29, 231-237.
J Prathima, V Nambisan, S Kurumujji (2014) A Study of I-function of Several Complex Variables. 1-12.
M Saigo (1978) A remark on integral operators involving the Gauss hypergeometric functions. 11, 135-143.
M Saigo (1979) A certain boundary value problem for the Euler-Darboux equation I. 24(4), 139.
M Saigo (1980) A certain boundary value problem for the Euler-Darboux equation II. 25(2), 211-220.
M Saigo, N Maeda (1996) More Generalization of Fractional Calculus, Transform Methods and Special Functions. 386-400.
Gordon, Breach Sci (1993) Unknown Title.
R Saxena, J Ram, D Suthar (2009) Fractional calculus of generalized Mittag-Leffler functions. (1), 165-172.
H Srivastava (1985) A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials. 117(1), 183-191.
H Srivastava, K Gupta, S Goyal (1982) The H-function of One and Two Variables with Applications.
H Srivastava, Rekha Panda (1975) Some analytic or asymptotic confluent expansions for functions of several variables. 29(132), 1115-1128.
H Srivastava, R Panda (1976) Some expansion theorems and generating relations for the H-function of several complex variables II. 25, 167-197.
S Samko, A Kilbas, O Marichev Fractional Integrals and Derivatives.
Published
2018-10-15
Issue
Section
License
Copyright (c) 2018 Authors and Global Journals Private Limited
This work is licensed under a Creative Commons Attribution 4.0 International License.