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Convergence radius of double succession with Pochhammer symbols Answer

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Convergence radius of double succession with Pochhammer symbols

I might love to know the convergence radius of the next two double energy succession of $(x,y) in mathbb{C}^2$:

commence{align}
sum_{m,n=0}^infty frac{(d-a)_{n+m}(d+b)_{n+m}(d+a)_n(d-b)_n}{n!m!(Second-c)_n(d)_{2n+m}}x^ny^m
aim{align}

commence{align}
sum_{m,n=0}^infty frac{(n+m)!(n+m)!}{(2n+m)!m!}x^ny^m
aim{align}

the place $(u)_v:=Gamma(u+v)/Gamma(u)$ is the Pochhammer attribute, and $a,b,c,d$ are complicated numbers.

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