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Results tagged with gamma-function
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user 49208
used only for functions based on gamma, not functions with some obscure relation to gamma
0
votes
Complex proof of $B(a,b)=\Gamma(a)\Gamma(b)/\Gamma(a+b)$
There is a proof using only change of variables in N.N.Lebedev's book (p.28 of the Russian edition).
- 1,560
1
vote
Inequality for a gamma function
I am not sure this estimate is true. In the cited preprint signs of s are the same, yours are opposite.
Standard inequalities gives not power but exponential growth
$$
|\frac{\Gamma(s)}{\Gamma(2-s)}| …
- 1,560
1
vote
Conjectured bound on Kummer's function (confluent hypergeometric function)
1) Cf. inequalities in the paper:
D. Karp, S.M. Sitnik, Log-convexity and log-concavity of hypergeometric-like functions, Journal of Mathematical Analysis and Applications, Volume 364, Issue 2, P. 384 …
- 1,560