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XVII.—Dual Series Relations. IV. Dual Relations Involving Series of Jacobi Polynomials

Published online by Cambridge University Press:  14 February 2012

R. P. Srivastav
R. P. Srivastav
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kanpur
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Extract

It is shown that by using the methods developed in papers I–III of the present series it is possible to reduce the problem of deriving the solution of a certain class of dual relations involving Jacobi polynomials to that of solving an integral equation of Schlömilch kind.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 66 , Issue 3 , 1963 , pp. 185 - 191
Copyright
Copyright © Royal Society of Edinburgh 1963

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References

References to Literature

Collins, W. D., 1961. “On some Dual Series Equations and their Application to Electrostatic Problems for Spheroidal Caps”, Proc. Camb. Phil. Soc., 57, 367–384.CrossRefGoogle Scholar
Erdelyi, A. (Ed.), 1954. Tables of Integral Transforms. New York, London: McGraw-Hill.Google Scholar
Erdelyi, A., et al., 1953. Higher Transcendental Functions, Vol. 2. New York, London: McGraw-Hill.Google Scholar
Noble, B., 1963. “Some Dual Series Equations involving Jacobi Polynomials”, Proc. Camb. Phil. Soc., 59, 363–372.CrossRefGoogle Scholar
Sneddon, I. N., and Srivastav, R. P., 1964. “Dual Series Relations–I. Dual Relations involving Fourier-Bessel Series”, Proc. Roy. Soc. Edin., A, 66, 150–160.Google Scholar
Srivastav, R. P., 1964a. “Dual Series Relations–II. Dual Relations involving Dini Series”, Proc. Roy. Soc. Edin., A, 66, 161–172.Google Scholar
Srivastav, R. P., 1964b. “Dual Series Relations–III. Dual Relations involving Trignometric Series”, Proc. Roy. Soc. Edin., A, 66, 173–184.Google Scholar