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IV.—On the Integrals of Hua and James.*

Published online by Cambridge University Press:  14 February 2012

Henry Jack
Henry Jack
Affiliation:
University of Dundee.
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Synopsis

Recently a power series representation of Hypergeometric functions with matrix argument has been established. This representation involves a special type of spherical function from the theory of semi-simple Lie groups, called the zonal polynomials. A general theory of these polynomials is well established; however an explicit representation of them is lacking. This paper considers two integrals which are related to this explicit representation. The final paragraph considers a third integral which gives an application of a result from a previous paper of the author.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 68 , Issue 1 , 1968 , pp. 54 - 69
Copyright
Copyright © Royal Society of Edinburgh 1968

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References

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