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On integral equations involving Whittaker's function

Published online by Cambridge University Press:  18 May 2009

K. N. Srivastava
K. N. Srivastava
Affiliation:
M.A. College of TechnologyBhopal (M.P.), India
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Recently some inversion integrals for integral equations involving Legendre, Chebyshev, Gegenbauer and Laguerre polynomials in the kernel have been obtained [1, 2, 3, 5, 6]. In this note, two inversion integrals for integral equations involving Whittaker's function in the kernel are obtained. We shall make use of the following known integral [4, p. 402]

The results of this note are based on the following two integrals, which are derived from (1) by writing u – t = (v – t)x.

for m + 1 > 2v > – 1;

for m + 1 > 2v > – 1.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 7 , Issue 3 , January 1966 , pp. 125 - 127
Copyright
Copyright © Glasgow Mathematical Journal Trust 1966

References

REFERENCES

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