Solutions of Generalized Fredholm Type Integral Equations Pertaining To Product of Special Functions
V. B. L. Chaurasia, Jagdev Singh
Abstract
V. B. L. Chaurasia, Jagdev Singh
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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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)