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Use of Gauss' hypergeometric function and Meijer's G-function in the production of heat in a cylinder

Published online by Cambridge University Press:  24 October 2008

S. D. Bajpai
S. D. Bajpai
Affiliation:
Department of Applied Mathematics, Shri G.S. Technological Institute, Indore, India
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Extract

Cases in which heat is produced in solids are becoming increasingly important in technical applications ((3), pp. 11–12).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 4 , October 1968 , pp. 1049 - 1054
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

(1)Bajpai, S. D.Some integrals involving Gauss's hypergeometric function and Meijer's G-function. Proc. Cambridge Philos. Soc. 63 (1967), 1049–1053.CrossRefGoogle Scholar
(2)Bhonsle, B. R.Jacobi polynomials and heat production in a cylinder. Math. Japon. 11 (1966), 83–90.Google Scholar
(3)Carslaw, H. S. and Jaeger, J. C.Conduction of heat in solids, 2nd ed. (Oxford University Press, London, 1959).Google Scholar
(4)Erdelyi, A.Tables of integral transforms, vol. 2 (McGraw-Hill, New York, 1954).Google Scholar
(5)Lebedev, N. N.Special functions and their applications. (Prentice-Hall, Inc., Englewood Cliff, N.J., 1965).CrossRefGoogle Scholar
(6)Rainville, E. D.Special functions (The Macmillan Co., New York, 1960).Google Scholar
(7)Sneddon, I. N.Fourier transforms (McGraw-Hill, New York, 1951).Google Scholar
(8)Szego, G.Orthogonal polynomials (American Mathematical Society, 1959).Google Scholar