Kummer,s Theorem
المؤلف:
Bailey, W. N.
المصدر:
"Kummer,s Theorem." §2.3 in Generalised Hypergeometric Series. Cambridge, England: Cambridge University Press,
الجزء والصفحة:
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13-6-2019
2047
Kummer's Theorem
The identity
or equivalently
where 
is a hypergeometric function and 
is the gamma function. This formula was first stated by Kummer (1836, p. 53).
REFERENCES:
Bailey, W. N. "Kummer's Theorem." §2.3 in Generalised Hypergeometric Series. Cambridge, England: Cambridge University Press, pp. 9-10, 1935.
Kummer, E. E. "Ueber die hypergeometrische Reihe." J. für Math. 15, 39-83, 1836.
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