Difference between revisions of "Q-Beta function"
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(Created page with "$$B_q(a,b) = \dfrac{\Gamma_q(a)\Gamma_q(b)}{\Gamma_q(a+b)}$$ $$B_q(a,b) = \displaystyle\int_0^1 \dfrac{t^{a-1}(tq;q)_{\infty}}{(tq^b;q)_{\infty}} d_q t$$ =References= [http:/...") |
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[http://dlmf.nist.gov/5.18 DLMF entry on $q$-Gamma and $q$-Beta functions] | [http://dlmf.nist.gov/5.18 DLMF entry on $q$-Gamma and $q$-Beta functions] | ||
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Latest revision as of 18:54, 24 May 2016
$$B_q(a,b) = \dfrac{\Gamma_q(a)\Gamma_q(b)}{\Gamma_q(a+b)}$$
$$B_q(a,b) = \displaystyle\int_0^1 \dfrac{t^{a-1}(tq;q)_{\infty}}{(tq^b;q)_{\infty}} d_q t$$
