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A definite integral involving associated Legendre function of the first kind

Published online by Cambridge University Press:  24 October 2008

R. K. Saxena
R. K. Saxena
Affiliation:
Maharana Bhupal College, Udaipur, India
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Extract

Recently Ragab ((3), p. 538) evaluated an integral involving the product of an associated Legendre function and an E-function. In this note we derive an integral which is more general than the one given by Ragab.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 2 , April 1961 , pp. 281 - 283
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

REFERENCES

(1)Erdelyi, A., et al. Higher transcendental functions, vol. I (New York, 1953).Google Scholar
(2)MacRobert, T. M., Some formulae for the associated Legendre functions of the first kind. Phil. Mag. 27 (1939), 703–5.CrossRefGoogle Scholar
(3)Ragab, F. M., Some formulae for the associated Legendre function of the first kind. Proc. Camb. Phil. Soc. 51 (1955), 538–40.CrossRefGoogle Scholar