Mellin transforms for multiple Jacobi-Pineiro polynomials and a q-analogue

被引：8

作者：

Smet, Christophe ^{[1
]}

Van Assche, Walter ^{[1
]}

机构：

[1] Katholieke Univ Leuven, Dept Math, BE-3001 Louvain, Belgium

来源：

JOURNAL OF APPROXIMATION THEORY | 2010年 / 162卷 / 04期

关键词：

Multiple orthogonal polynomials; Mellin transform; Irrationality; NUMBERS ZETA(5); IRRATIONALITY; VALUES;

D O I：

10.1016/j.jat.2009.09.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work treats the Mellin transform of multiple Jacobi-Pineiro polynomials. This allows us to put a number of irrationality and Q-linear independence proofs into the framework of Hermite-Pade approximation. A similar approach is presented for the q-analogue: the q-Mellin transform of multiple little q-Jacobi polynomials and its applications in irrationality proofs. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：782 / 806

页数：25

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