ON A POLYNOMIAL SEQUENCE ASSOCIATED WITH THE BESSEL OPERATOR

被引：0

作者：

Loureiro, Ana F. ^{[1
,2
]}

Maroni, P. ^{[3
]}

Yakubovich, S. ^{[1
,2
]}

机构：

[1] CMUP, P-4169007 Oporto, Portugal

[2] DM FCUP, P-4169007 Oporto, Portugal

[3] CNRS, UMR 7598, Lab Jacques Louis Lions, F-75005 Paris, France

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 142卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By means of the Bessel operator a polynomial sequence is constructed to which several properties are given. Among them are its explicit expression, the connection with the Euler numbers, and its integral representation via the Kontorovich-Lebedev transform. Despite its non-orthogonality (with respect to an L-2-inner product), it is possible to associate to the canonical element of its dual sequence a positive-definite measure as long as certain stronger constraints are imposed.

引用

页码：467 / 482

页数：16

共 20 条

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Chihara T. S., 1978, INTRO ORTHOGONAL POL, VMR0481884 (58:1979)

[2]

Comtet L., 1974, Advanced combinatorics. The art of finite and infinite expansions

[3]

Erdelyi A., 1953, Higher transcendental functions, V2

[4] Jacobi-Stirling numbers, Jacobi polynomials, and the left-definite analysis of the classical Jacobi differential expression [J].