Application of E-Operator to Evaluate a Definite Integral and its Application in Heat Conduction

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Authors

  • F. Singh
     Department of Applied Mathematics, Government Engineering College, Rewa (M.P.) ,IN
  • R. C. Varma
     Department of Applied Mathematics, Government Engineering College, Rewa (M.P.) ,IN

Abstract

This paper deals with the evaluation of a definite integral (involving Fox's .ff-function, generalized hypergeometric function and associated Legendre function using the finite difference operator E) with the object of utilizing the same in obtaining the solution of a problem on heat conduction in a non-homogeneous bar.

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Published

1972-12-01

How to Cite

Singh, F., & Varma, R. C. (1972). Application of E-Operator to Evaluate a Definite Integral and its Application in Heat Conduction. The Journal of the Indian Mathematical Society, 36(3-4), 325–332. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/16675

Issue

Volume 36, Issue 3-4, September-December 1972

Section

Articles

License

Copyright (c) 1972 F. Singh, R. C. Varma

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

BATEMAN: Tables of integral transforms, Vol. II, (1954).

B. L. J. BEAAKSMA : Asymptotic expansions and analytic continuations for a class of Barnes integrals, Compositio Math. 15(1963), 239-341.

S. D. BAJPAI : An expansion formula for Meijer's G-function, Proc. Nat. Inst. Sci. India, Vol. 35 (1969).

S. D. BAJPAI : Meijer's (β-function and the temperature in a non-homogeneous bar, Proc. Indian Acad. Sci. Vol. 70 (1969), 99-101.

R. V. CHUBOHIIIL : Fourier series and boundary value problems, McGraw-Hill, New York (1942).

H. S. CAESLAVT : Introduction to the theory of Fourier series and integrals, Dover, 3rd revised edition.

C. Fox : The O- and Zβ-functions as symmetrical Fourier kernels, Trans. Amer. Math. Soc, 98 (1961), 395-429.

L. M. MILNE-THOMSON : The calculus of finite differences, MacMillan, London (1933).

E. T. WHITTAKBB and G. N. WATSON : A course of modern analysis, Cambridge (1952).