A class of orthogonal polynomials suggested by a trigonometric Hamiltonian : Symmetric states

Date

2004-05-01

Author

Taşeli, Hasan

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A new subclass of the Jacobi polynomials arising in the exact analytical solution of the one-dimensional Schrodinger equation with a trigonometric potential has been introduced. The polynomials which consist of a free parameter are not ultraspherical polynomials and have been simply named the T - polynomials since they are generated by a trigonometric Hamiltonian. In certain sense, it is shown that the T - polynomials can be regarded as a generalisation of the airfoil polynomials or the Chebyshev polynomials of the third kind. This paper is intended to discuss the basic properties of the polynomials so defined.

Subject Keywords

Applied Mathematics, General Chemistry

URI

https://hdl.handle.net/11511/48240

Journal

JOURNAL OF MATHEMATICAL CHEMISTRY

DOI

https://doi.org/10.1023/b:jomc.0000034929.23960.4e

Collections

Department of Mathematics, Article

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Citation Formats

H. Taşeli, “A class of orthogonal polynomials suggested by a trigonometric Hamiltonian : Symmetric states,” JOURNAL OF MATHEMATICAL CHEMISTRY, pp. 1–12, 2004, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/48240.