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Some dual series and triple integral equations

Published online by Cambridge University Press:  20 January 2009

J. S. Lowndes
J. S. Lowndes
Affiliation:
University of Strathclyde, Glasgow
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In this paper we first of all solve the dual series equations

where ƒ(ρ) and g(ρ) are prescribed functions,

is the Jacobi polynomial (2).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 16 , Issue 4 , December 1969 , pp. 273 - 280
Copyright
Copyright © Edinburgh Mathematical Society 1969

References

REFERENCES

(1) Cooke, J. C.Quart. J. Mech. Appl. Math. 18 (1965), 57.CrossRefGoogle Scholar
(2) Magnus, W. and Oberhettinger, F.Formulas and theorems for the functions of mathematical physics (Chelsea, 1954), 83.Google Scholar
(3)Noble, B.Proc. Cambridge Philos. Soc. 59 (1963), 363.CrossRefGoogle Scholar
(4) Sneddon, I. N.Mixed boundary value problems in potential theory (North- Holland, 1966).Google Scholar
(5) Srivastav, R. P.Proc. Roy. Soc. Edinburgh A 66 (1964), 185.Google Scholar
(6) Tranter, C. J.Proc. Glasgow Math. Assoc. 4 (1960), 200.CrossRefGoogle Scholar
(7) Watson, G. N.Theory of Bessel functions, 2nd. ed. (Cambridge, 1944), 140.Google Scholar