Boehmian spaces for a class of Whittaker integral transformations

shrideh al-omari

Abstract


In this paper, we are concerned with a class of Whittaker integral transforms involving confluent hypergeometric functions as kernels. We present certain convolution products and derive the prerequisite axioms for generating the relevant spaces of Boehmians. We further give the definition and discuss the inverse problem of the Whittaker integral in a generalized sense. Moreover, the integral in question has been shown to be linear and consistent with the classical one. Certain results are also discussed in some details.


Keywords


Boehmian space; Laplace transform; Mellin transform; Whittaker transform; Whittaker function.

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In this paper, we are concerned with a class of Whittaker integral transforms involving confluent hypergeometric functions as kernels. We present certain convolution products and derive the prerequisite axioms for generating the relevant spaces of Boehmians. We further give the definition and discuss the inverse problem of the Whittaker integral in a generalized sense. Moreover, the integral in question has been shown to be linear and consistent with the classical one. Certain results are also discussed in some details.


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