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

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 > a + b and divergent for c

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Question Posted: Apr 07, 2016 11:09 AM

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

Question:

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

Step by Step Answer:

Here limn1 x n 1x n c a b 1 so the series is convergent if c a b ...View the full answer

Introduction to Real Analysis

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