JP Journal of Algebra, Number Theory and Applications
Volume 2, Issue 2, Pages 137 - 152
(August 2002)
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TWISTS AND GENERALIZED CHEBYSHEV POLYNOMIALS, III
Fumio Hazama (Japan)
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Abstract: In this paper, which is a
continuation of the articles [JP Jour. Algebra,
Number Theory and Appl. 2(1) (2002), 61-82; JP Jour.
Algebra, Number Theory and Appl. 2(1) (2002),
83-100], we derive a dimension formula of the space
of the solutions of the partial differential
equation satisfied by generalized Chebyshev
polynomials. We also establish a numerical
integration formula like Gauss quadrature for
polynomials in several variables, and an ergodic
property of a sequence of maps defined by those
polynomials. |
Keywords and phrases: twist, Chebyshev
polynomial. |
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