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Polynomials of Sampson as Special Case of Polynomials of Gegenbauer

American Journal of Mathematical and Computational Sciences
Vol.3 , No. 2, Publication Date: Mar. 2, 2018, Page: 37-40

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Authors

[1]	Victor Khoroshun, Department of Mechanics and Mathematics, Karazin University, Kharkiv, Ukraine.

Abstract

Following the example of Legendre polynomials and allied polynomials, R. Sampson [1] introduced the concept of neoclassical polynomials taking zero value at the ends of the interval [-1, 1]. The analogue of the Legendre polynomials deserves attention. The proposed method is extended to the Chebyshev polynomials of the first kind.

Keywords

Classical Polynomials, Orthogonality, Interval, Differential Equation, Formula, Recurrence Relations

Reference

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