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Inequalities for a Class of Terminating Generalised Hypergeometric Functions

Published online by Cambridge University Press:  18 May 2009

T. M. MacRobert
T. M. MacRobert
Affiliation:
University of Glasgow
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Extract

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By applying Gauss's Theorem it can be seen that, if n is a positive integer and α is not integral,

so that

In section 2 it will be proved that, if

Where α and β are not integers

Where μ and M are constants independent of n.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 1 , Issue 1 , January 1952 , pp. 32 - 37
Copyright
Copyright © Glasgow Mathematical Journal Trust 1952