Question: Suppose that none of the numbers a, b, c is a negative integer or zero. Prove that the hypergeometric series is absolutely convergent for c

Suppose that none of the numbers a, b, c is a negative integer or zero. Prove that the hypergeometric series
Suppose that none of the numbers a, b, c is

is absolutely convergent for c > a + b and divergent for c

ab a(a +1 )b(b +1, Ilc21e(c1) a(a + 1)(a + 2)b(b +1 )(b +2) 3c(1)c2)

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