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Evaluations of certain hypersingular integrals on interval

โœ Scribed by Qi-Kui Du


Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
121 KB
Volume
51
Category
Article
ISSN
0029-5981

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๐Ÿ“œ SIMILAR VOLUMES


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โœ C.-Y. Hui; D. Shia ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 99 KB ๐Ÿ‘ 1 views

A Gaussian quadrature formula for hypersingular integrals with second-order singularities is developed based on previous Gaussian quadrature formulae for Cauchy principal value integrals. The formula uses classical orthonormal polynomials, and the formula is then specialized to the case of Legendre

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A hypersingular integral equation in two disjoint intervals is solved by using the solution of Cauchy type singular integral equation in disjoint intervals. Also a direct function theoretic method is used to determine the solution of the same hypersingular integral equation in two disjoint intervals