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Some Integral Properties of a General Class of Polynomials Associated with Feynman Integrals

Chaurasia, V.B.L., and Shekhawar, Ashok Singh , (2005) Some Integral Properties of a General Class of Polynomials Associated with Feynman Integrals. Bulletin of the Malaysian Mathematical Sciences Society, 28 (2). pp. 183-189. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v28n2/v28n2p9.pdf

Affiliations

University of Rajasthan, Dept. of Mathematics

Abstract

The object of the present paper is to discuss certain integral properties of a general class of polynomials and the $\overline{H}$-function, proposed by Inayat-Hussain which contain a certain class of Feynman integrals, the exact partition of a Gaussian model in statistical mechanics and several other functions as its particular cases. During the course of finding, we establish certain new double integral relations pertaining to a product involving a general class of polynomials and the $\overline{H}$-function. These double integral relations are unified in nature and act as a key formulae from which we can obtain as their special cases, double integral relations concerning a large number of simpler special functions and polynomials. For the sake of illustration, we record here some special cases of our main results which are also new and of interest by themselves. The results established here are basic in nature and are likely to find useful applications in several fields notably electrical networks, probability theory and statistical mechanics.

Item Type:Journal
Keywords:Feynman integrals, H-function, general class of polynomials, Hermite polynomials, Laguerre polynomials.
Subjects:Q Science, Computer Science
ID Code:1422

[1] R. G. Buschman and H. M. Srivastava, The H-function associated with a certain class of Feynman integrals, J. Phys. A: Math. Gen. 23 (1990), 4707—4710.

[2] J. Edwards, A Treatise on Integral Calculus, Chelsea Pub. Co., 2 (1922).

[3] C. Fox, The G and H-functions as symmetrical Fourier kernels, Trans. Amer. Math. Soc. 98 (1961), 395—429.

[4] C. Grosche and F. Steiner, Hand Book of Feynman Path Integrals, Springer Tracts in Modern Physics Vol. 145, Springer-Verlag Berlin Heidelberg, New York, 1998.

[5] A. A. Inayat-Hussain, New properties of hypergeometric series derivable from Feynman integrals: I. Transformation and reduction formulae, J. Phys. A: Math. Gen. 20 (1987), 4109—4117.

[6] A. A. Inayat-Hussain, New properties of hypergeometric series derivable from Feynman integrals: II. A generalization of the H-function, J. Phys. A: Math. Gen. 20 (1987), 4119—4128.

[7] H. M. Srivastava, A contour integral involving Fox’s H-function, Indian J. Math. 14 (1972), 1-6.

[8] H. M. Srivastava and N. P. Singh, The integration of certain products of the multivariable H-function with a general class of polynomials, Rend. Circ. Mat. Palermo 2(32) (1983), 157—187.

[9] C. Szego, Orthogonal polynomials, Amer. Math. Soc. Colloq. Publ. 23 Fourth edition, Amer. Math. Soc. Providence, Rhode Island (1975).

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