Notes on a Family of Riordan Arrays and Associated Integer Hankel Transforms

被引：0

作者：

Barry, Paul ^{[1
]}

Hennessy, Aoife ^{[2
]}

机构：

[1] Waterford Inst Technol, Sch Sci, Waterford, Ireland

[2] Waterford Inst Technol, Dept Comp Math & Phys, Waterford, Ireland

来源：

关键词：

Riordan array; integer sequence; production matrix; Hankel transform; orthogonal polynomial;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We examine a set of special Riordan arrays, their inverses and associated Hankel transforms.

引用

页数：12

共 10 条

[1] Cvetkovic A.S., 2002, J INTEGER SEQ, V5
[2] Deutsch E, 2005, ADV APPL MATH, V34, P101, DOI 10.1016/j.aam.2004.05.002
[3] Gautschi W., 2003, ORTHOGONAL POLYNOMIA
[4] Advanced determinant calculus: A complement
Krattenthaler, C
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 411 : 68 - 166
[5] Krattenthaler C., MATHCO9902004
[6] Layman J. W., 2001, J INTEGER SEQ, V4, P1
[7] Peart P, 2000, J INTEGER SEQ, V3, P1
[8] The Hankel transform of the sum of consecutive generalized Catalan numbers
Rajkovic, Predrag M.
Petkovic, Marko D.
Barry, Paul
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2007, 18 (04) : 285 - 296
[9] THE RIORDAN GROUP
SHAPIRO, LW
GETU, S
WOAN, WJ
WOODSON, LC
[J]. DISCRETE APPLIED MATHEMATICS, 1991, 34 (1-3) : 229 - 239
[10] Sloane N. J. A., ON LINE ENCY INTEGER