The Mellin transform of a product of two hypergeometric functions (Q5953952)
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scientific article; zbMATH DE number 1697628
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Mellin transform of a product of two hypergeometric functions |
scientific article; zbMATH DE number 1697628 |
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The Mellin transform of a product of two hypergeometric functions (English)
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11 September 2002
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Mellin transforms
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hypergeometric functions
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Weber-Schafheitlin integral
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0.97662383
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0.9537697
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0.9401748
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0.9077696
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0.90609145
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0.8790657
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This is a continuation of the work of the author [J. Comput. Appl. Math. 118, No. 1, 301--309 (2000; Zbl 1015.33004)] on the evaluation of the Mellin transform of NEWLINE\[NEWLINE_0F_1[-;1+\mu;\;-a^2x^2]{_1F_2} [\alpha;\beta, 1+ \nu; -b^2x^2],NEWLINE\]NEWLINE especially for the critical case \((a=b)\) and the supercritical case (in addition, \(\mu-\nu+\alpha-\beta\) is an odd integer).
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