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The Theorems of Clausen and Cayley on Products of Hypergeometric Functions

โœ Scribed by Watson, G. N.


Book ID
120104516
Publisher
Oxford University Press
Year
1924
Tongue
English
Weight
191 KB
Volume
s2-22
Category
Article
ISSN
0024-6115

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On the Mellin transform of products of B
โœ Allen R. Miller ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 905 KB

We deduce in an elementary way representations for the Mellin transform of a product of Bessel functions OF, [ -a2x2] and generalized hypergeometric functions &,+, [ -b2n2] for a, b > 0. As a corollary we obtain a transformation formula for P+rFp[l] which was discovered by Wimp in 1987 by using Bail