Question and Answers Forum

All Questions      Topic List

Others Questions

Previous in All Question      Next in All Question      

Previous in Others      Next in Others      

Question Number 128321 by Dwaipayan Shikari last updated on 06/Jan/21

$$Prove$$$$\underset{n⩾0}{\sum ^{\mathrm{\infty }}}\frac{{\left(a\right)}_n{\left(b\right)}_n}{{\left(c\right)}_{n}n!}=\frac{\mathrm{\Gamma }\left(c\right)\mathrm{\Gamma }(c-a-b)}{\mathrm{\Gamma }(c-a)\mathrm{\Gamma }(c-b)}$$$$Where{\left(a\right)}_n=\underset{k=0}{\prod ^{n-1}}(k+a)$$

Commented by Lordose last updated on 10/Jan/21

$$\mathrm{hypergeometric}\mathrm{series}$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com