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The Application of Gegenbauer Polynomials to the Michell Integral
Journal of Ship Research, 1972Gegenbauer polynomials have been used to define the centerplane distribution of Havelock sources defining the ship in the Michell thin-ship theory. Orthogonality properties have been used to reduce the Michell integral to a double finite sum of coefficients defined in terms of the singularity distribution, the Froude number, and the length-draft ratio.
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On spectral identities involving Gegenbauer polynomials
The Journal of Analysis, 2019The Gegenbauer coefficients $$c_{j}^{\ell }(\nu )$$ ( $$1\le j\le \ell ;\, \nu >-1/2$$
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A NOTE ON GEGENBAUER POLYNOMIALS [PDF]
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On the Bounds for Gegenbauer Polynomials
The American Mathematical Monthly, 1964openaire +2 more sources
An expansion for gegenbauer polynomials
USSR Computational Mathematics and Mathematical Physics, 1965openaire +2 more sources
Recursive formula to compute Zernike radial polynomials
Optics Letters, 2013Barmak Honarvar Shakibaei Asli
exaly