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A note on the summation of an infinite series involving a hypergeometric function

Published online by Cambridge University Press:  17 April 2009

A.G. Williamson
A.G. Williamson
Affiliation:
Depatrtment of Electrical Engineering, Univerity of Auckland, Auckland, New Zealand.
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The sum of an infinite series involving the 4F3 function is found by considering an infinite series whose terms involve the product of two Bessel functions of the first kind. Furthermore the infinite series involving the 4F3 function can be utilized to find an approximation to the 4F3 function of unit argument, for particular values of the parameters.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 10 , Issue 2 , April 1974 , pp. 305 - 309
Copyright
Copyright © Australian Mathematical Society 1974

References

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