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Structure relations of classical multiple orthogonal polynomials by a generating function

이동원
대한수학회 (The Korean Mathematical Society)|2013.09|대한수학회지 (Journal of the KMS)|제50권 제5호|pp. 1067-1082

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참고문헌

키워드

generating functionrecurrence relationmultiple orthogonal polynomialclassical multiple orthogonal polynomial
주제분류수학

초록

In this paper, we will find some recurrence relations of classical multiple OPS between the same family with different parameters using the generating functions, which are useful to find structure relations and their connection coefficients. In particular, the differential-difference equations of Jacobi-Pineiro polynomials and multiple Bessel polynomials are given.

Abstract

In this paper, we will find some recurrence relations of classical multiple OPS between the same family with different parameters using the generating functions, which are useful to find structure relations and their connection coefficients. In particular, the differential-difference equations of Jacobi-Pineiro polynomials and multiple Bessel polynomials are given.

참고문헌 (21)

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