Hostname: page-component-76fb5796d-zzh7m Total loading time: 0 Render date: 2024-04-28T19:42:00.710Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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