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Some dual series equations involving Jacobi polynomials

Published online by Cambridge University Press:  24 October 2008

B. Noble
B. Noble
Affiliation:
Department of Mathematics, The Royal College of Science and Technology, Glasgow
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Extract

In this paper first of all we find an exact solution of the dual series equations

where

and Jn is the Jacobi polynomial defined by

The Bn are unknown coefficients which are to be determined. The functions f, g and the parameters a, λ, μ, are given. Necessary restrictions on these quantities are indicated during the analysis.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 59 , Issue 2 , April 1963 , pp. 363 - 371
Copyright
Copyright © Cambridge Philosophical Society 1963

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References

REFERENCES

(1)Collins, W. D., Proc. Cambridge Philos. Soc. 57 (1961), 367–84.CrossRefGoogle Scholar
(2)Copson, E. T., Proc. Edinburgh Math. Soc. (2), 8 (1947), 14–19.CrossRefGoogle Scholar
(3)Magnus, W., and Oberhettinger, F., Formulas and theorems for the special functions of mathematical physics (Chelsea; New York, 1949).Google Scholar
(4)Tranter, C. J., Proc. Glasgow Math. Assoc. 4 (1959), 49–57.CrossRefGoogle Scholar