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Your search keyword '"McCabe, John H."' showing total 15 results
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15 results on '"McCabe, John H."'

1. A class of orthogonal functions given by a three term recurrence formula

Author

Bracciali, Cleonice F., McCabe, John H., Pérez, Teresa E., and Ranga, A. Sri

Subjects
Mathematics - Numerical Analysis, Mathematics - Classical Analysis and ODEs, 42C05
Abstract

The main goal in this manuscript is to present a class of functions satisfying a certain orthogonality property for which there also exists a three term recurrence formula. This class of functions, which can be considered as an extension to the class of symmetric orthogonal polynomials on $[-1,1]$, has a complete connection to the orthogonal polynomials on the unit circle. Quadrature rules and other properties based on the zeros of these functions are also considered., Comment: 20 pages, 2 figures

Published
2013
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14. Continued fractions for [image omitted] Satisfying [image omitted]

Author

Magnus, Arne and McCabe, John H.

Abstract

If w(z) is an elliptic linear fractional transformation of finite orderp, and the analytic function [image omitted]  satisfies [image omitted] , we give the form of the continued fractions similar to P-fractions, associated fractions and regular C-fractions for [image omitted] . Three examples are given.

Published
1991
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