A theorem relating a certain generalized Weyl fractional integral with the Laplace transform and a class of Whittaker transforms

DOI10.1016/0022-247X(90)90222-2zbMath0714.33008OpenAlexW2022661375MaRDI QIDQ750690

R. M. Jain, Som Prakash Goyal, Hari M. Srivastava

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(90)90222-2

zbMATH Keywords

Laplace transformWeyl fractional integralWhittaker transforms

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Multiple integral transforms (44A30)

Related Items

Operators of fractional integration and their applications

Cites Work

• Abelian theorems for Whittaker transforms
• Some Abelian theorems for the distributional H-transformation
• A unification of generalizations of the Laplace transform and generalized functions
• The integration of certain products of the multivariable H-function with a general class of polynomials
• Certain properties of a distributional generalized Whittaker transform
• Fractional integral operators involving a general class of polynomials
• Asymptotic behaviour of the H-transform in the complex domain
• Operational Representations of Whittaker's Confluent Hypergeometric Function and Weber's Parabolic Cylinder Function
• What is the Laplace Transform?
• On a generalized integral transform. II
• On a generalized integral transform. II
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