A general Volterra-type integral equation associated with an integral operator involving the product of general class of polynomials and multivarible H-function in the kernel
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In this paper, we solve a general Volterra-type fractional equation associated with an integral operator involving a product of general class of polynomials and the multivariable H-function in its Kernel. We make use of convolution technique to solve the main equation.On account of the general nature of multivariable H-function and general class of polynomials, We can obtain a large number of integral equations involving products of several useful polynomials and special functions as its special cases. For the lack of space, we record here only two such special cases which involve the product of general class of polynomials SM N & Appell's function F3 and a general class of polynomials. The main result derived in this paper also generalizes the results obtained by Gupta et. al.[2] and Jain[3, p. 102-103, eq. (3.5),eq.(3.6)]
Abstract
In this paper, we solve a general Volterra-type fractional equation associated with an integral operator involving a product of general class of polynomials and the multivariable H-function in its Kernel. We make use of convolution technique to solve the main equation.On account of the general nature of multivariable H-function and general class of polynomials, We can obtain a large number of integral equations involving products of several useful polynomials and special functions as its special cases. For the lack of space, we record here only two such special cases which involve the product of general class of polynomials SM N & Appell's function F3 and a general class of polynomials. The main result derived in this paper also generalizes the results obtained by Gupta et. al.[2] and Jain[3, p. 102-103, eq. (3.5),eq.(3.6)]
참고문헌 (8)
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- Jain R., "Double convolution integral equations involving the general polynomials", Ganita Sandesh, 4, pp.99~103 (1990)
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- Srivastava, H.M., "The H-functions of One and Two Variables with Applications" (1982), South Asian Publishers
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- Srivastava, H. M., "The integration of certain products of the multivariable H-function with a general class of polynomials", Rend. Circ. Mat. Palermo, 32, pp.157~187 (1983)