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Integral equations and potential-theoretic type integrals of orthogonal polynomials

✍ Scribed by M.H. Fahmy; M.A. Abdou; M.A. Darwish

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 445 KB
Volume: 106
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(99)00064-3

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✦ Synopsis

Abel's theorem is used to solve the Fredholm integral equations of the first kind with Gauss's hypergeometric kernel. The case that the kernel takes general form is discussed in detail and the solution is given. Here, the works of some authors are considered as special cases. The discussion focuses on the three dimensional contact problems in the theory of elasticity with general kernel.

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