An operational procedure for Hankel type integrals (Q1089865)

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scientific article; zbMATH DE number 4006940
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An operational procedure for Hankel type integrals
scientific article; zbMATH DE number 4006940

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    An operational procedure for Hankel type integrals (English)
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    1987
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    The author establishes an operational procedure to evaluate Hankel type integrals. Firstly, the author constructs an operator \(L(\theta)\equiv - xd/dx\), which defines the integral. Then by making use of some basic properties of this operator, an elementary procedure is developed for evaluating integrals for a special class of analytic functions. A few examples are given to illustrate the technique.
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    Hankel transform
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    Mellin transform
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    Bessel functions
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    hypergeometric functions
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