Suppose that none of the numbersa, b, e is a negativeintegeror zero. Provethat the

Chapter 9, Problem 18

(choose chapter or problem)

Suppose that none of the numbersa, b, e is a negativeintegeror zero. Provethat the hypergeometricseries-a+b a(a + l)b(b + 1) + a(a + l)(a + 2)b(b + l)(b + 2) +...l!e 2!e (e + 1) 3!c(e + l)(e + 2)is absolutelyconvergentfor e > a + b and divergentfor e < a + b.

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