[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2005.42.4.673

SOME RECURRENCE RELATIONS OF MULTIPLE ORTHOGONAL POLYNOMIALS

Lee, Dong-Won (Department of Mathematics Teachers College Kyungpook National Universtiy)

Publication Information

Journal of the Korean Mathematical Society / v.42, no.4, 2005 , pp. 673-693 More about this Journal

Abstract

In this paper, we first find a necessary and sufficient condition for the existence of multiple orthogonal polynomials by the moments of a pair of measures $(d{\mu},\;dv)$ and then give representations for multiple orthogonal polynomials. We also prove four term recurrence relations for multiple orthogonal polynomials of type II and several interesting relations for multiple orthogonal polynomials are given. A generalized recurrence relation for multiple orthogonal polynomials of type I is found and then four term recurrence relations are obtained as a special case.

Keywords

orthogonal polynomials; multiple orthogonal polynomials; recurrence relation;

Citations & Related Records

Times Cited By Web Of Science : 1 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

Reference
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