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2011•Global Journal of Human Social ScienceRequires access

A CLASS OF CONVOLUTION INTEGRAL EQUATIONS AND SPECIAL FUNCTIONS

V. B. L. Chaurasia, Amber Srivastava

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Abstract

In the present paper a convolution integral equation of Fredholm type whose kernel involves a product of generalized polynomial set, general multivariable polynomials, Fox’s Hfunction and H -function, has been solved by using the theory of Mellin transforms. Our main result is believed to be general and unified in nature. A number of (known and new) results follow as special cases by specializing the coefficients and parameters involved in the kernel.

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What this paper is about

In the present paper a convolution integral equation of Fredholm type whose kernel involves a product of generalized polynomial set, general multivariable polynomials, Fox’s Hfunction and H -function, has been solved by using the theory of Mellin transforms. Our main result is believed to be general and unified in nature. A number of (known and new) results follow as special cases by specializing the coefficients and parameters involved in the kernel.

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Available abstract

In the present paper a convolution integral equation of Fredholm type whose kernel involves a product of generalized polynomial set, general multivariable polynomials, Fox’s Hfunction and H -function, has been solved by using the theory of Mellin transforms. Our main result is believed to be general and unified in nature. A number of (known and new) results follow as special cases by specializing the coefficients and parameters involved in the kernel.

Key concepts: Mathematics, Convolution (computer science), Kernel (algebra), Fredholm integral equation, Polynomial, Product (mathematics), Convolution theorem, Class (philosophy)

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