2010Global Journal of Human Social ScienceRequires access

Solutions of Generalized Fredholm Type Integral Equations Pertaining To Product of Special Functions

V. B. L. Chaurasia, Jagdev Singh

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Abstract

The object of this paper is to solve an integral equation whose kernel involves the product of the M-series and H -functions. The solution is derived by the application of Mellin-transform. The integral equation discussed here can be used to investigate a wide class of known (may be new also) integral equations, hitherto scattered in the literature. Special cases, involving generalized Riemann zeta function, g[τ,θ,ν,φ;z] function and generalized Wright function are considered.

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What this paper is about

The object of this paper is to solve an integral equation whose kernel involves the product of the M-series and H -functions. The solution is derived by the application of Mellin-transform. The integral equation discussed here can be used to investigate a wide class of known (may be new also) integral equations, hitherto scattered in the literature. Special cases, involving generalized Riemann zeta function, g[τ,θ,ν,φ;z] function and generalized Wright function are considered.

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Available abstract

The object of this paper is to solve an integral equation whose kernel involves the product of the M-series and H -functions. The solution is derived by the application of Mellin-transform. The integral equation discussed here can be used to investigate a wide class of known (may be new also) integral equations, hitherto scattered in the literature. Special cases, involving generalized Riemann zeta function, g[τ,θ,ν,φ;z] function and generalized Wright function are considered.

Key concepts: Mathematics, Integral transform, Integral equation, Fredholm integral equation, Kernel (algebra), Product (mathematics), Mathematical analysis, Type (biology)

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