Hankel type integral transforms connected with the hyper-Bessel differential operators

Yurii Luchko; Virginia Kiryakova

Displaying similar documents to “Hankel type integral transforms connected with the hyper-Bessel differential operators”

Weierstrass transform associated with the Hankel operator.

Omri, Slim, Rachdi, Lakhdar Tannech (2009)

Bulletin of Mathematical Analysis and Applications [electronic only]

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Hankel Transform in Quantum Calculus and Applications

Haddad, Meniar (2006)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: 44A15, 33D15, 81Q99 This paper is devoted to study the q-Hankel transform associated with the third q-Bessel function called also Hahn-Exton function. We use the q- approximation of unit for establishing a q-inverse formula of this transform. Moreover, we establish the related q-Parseval theorem.

On certain theorems in transform calculus.

M. L. Maheshwari (1981)

Revista Matemática Hispanoamericana

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On certain properties of Hankel transform

Maheshwari, M.L. (1974)

Portugaliae mathematica

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On q-Laplace Transforms of the q-Bessel Functions

Purohit, S., Kalla, S. (2007)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: 33D15, 44A10, 44A20 The present paper deals with the evaluation of the q-Laplace transforms of a product of basic analogues of the Bessel functions. As applications, several useful special cases have been deduced.