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Results tagged with special-functions
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user 22917
Many special functions appear as solutions of differential equations or integrals of elementary functions. Most special functions have relationships with representation theory of Lie groups.
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Infinite Series of 2F1
Your expression simplifies to $s(k)=(xz)^k/k!*\sum_{n=0}^\infty z^n*\frac{(2k+a+n)!}{(k+n+1)!}$ where $s(k)$ is the sequence you sum from $k=0$ to infinity. Since $a$ is non-negative, $\frac{(2k+a+n)! …
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