Difference between revisions of "Beta is symmetric"
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==References== | ==References== | ||
* {{BookReference|Higher Transcendental Functions Volume I|1953|Harry Bateman|prev=findme|next=Beta as product of gamma functions}}: $\S 1.5 (4)$ | * {{BookReference|Higher Transcendental Functions Volume I|1953|Harry Bateman|prev=findme|next=Beta as product of gamma functions}}: $\S 1.5 (4)$ | ||
| − | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Beta in terms of gamma|next=Digamma}: $6.2.2$ | + | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Beta in terms of gamma|next=Digamma}}: $6.2.2$ |
[[Category:Theorem]] | [[Category:Theorem]] | ||
[[Category:Unproven]] | [[Category:Unproven]] | ||
Revision as of 00:44, 9 August 2016
Theorem
The following formula holds: $$B(x,y)=B(y,x),$$ where $B$ denotes the beta function.
Proof
References
- 1953: Harry Bateman: Higher Transcendental Functions Volume I ... (previous) ... (next): $\S 1.5 (4)$
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $6.2.2$
