Asymptotic behaviour of the H-transform in the complex domain

DOI10.1017/S0305004100067578zbMath0632.44002MaRDI QIDQ3769392

Richard D. Carmichael, Ram Shankar Pathak

Publication date: 1987

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Stieltjes transformHankel transformstructure theoremcomplex domainAbelian theoremsH-transformK-transformquasi-asymptotic behaviour

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items (max. 100)

Asymptotic behaviours of a class of integral transforms in complex domains ⋮ Integral transforms and asymptotics of generalized functions ⋮ A theorem relating a certain generalized Weyl fractional integral with the Laplace transform and a class of Whittaker transforms

Cites Work

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• Abelian theorems for Whittaker transforms
• Abelian theorems for the distributional Stieltjes transform
• Abelian theorems for the Stieltjes transform of functions. II
• Abelian theorems for distributional H-transform
• An inversion formula for the distributional H-transformation
• Asymptotic Expansions of Some Integral Transforms by Using Generalized Functions
• QUASI-ASYMPTOTICS OF GENERALIZED FUNCTIONS AND TAUBERIAN THEOREMS IN THE COMPLEX DOMAIN
• Some Abelian Theorems for the Distributional Hankel and K Transformations
• Generalized transforms and their asymptotic behaviour
• What is the Laplace Transform?

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