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Further generalizations of Neumann's integral

Published online by Cambridge University Press:  09 April 2009

W. Pye
W. Pye
Affiliation:
Secondary Teachers' College and University of MelbourneVictoria, 3052, Australia
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Abstract

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A generalization of Neumann's integral connecting the two kinds of Legendre function is obtained. It contains an extra parameter which is not a function of the parameters of the Legendre functions, unlike all previous extensions of the original formula. These extensions are shown to be particular cases of the new generalization and some further particular cases are also indicated.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 14 , Issue 3 , November 1972 , pp. 368 - 374
Copyright
Copyright © Australian Mathematical Society 1972

References

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