A determinantal approach to Appell polynomials

被引：89

作者：

Costabile, F. A. ^{[1
]}

Longo, E. ^{[1
]}

机构：

[1] Univ Calabria, Dept Math, I-87030 Commenda Di Rende, Italy

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 234卷 / 05期

关键词：

Determinant; Polynomial; Appell; DIFFERENTIAL-EQUATION;

D O I：

10.1016/j.cam.2010.02.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new definition by means of a determinantal form for Appell (1880) [1] polynomials is given. General properties, some of them new, are proved by using elementary linear algebra tools. Finally classic and non-classic examples are considered and the coefficients, calculated by an ad hoc Mathematica code, for particular sequences of Appell polynomials are given. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：1528 / 1542

页数：15

共 19 条

[1]

[Anonymous], 2002, INT J APPL MATH

[2]

[Anonymous], 1964, HDB MATH FUNCTIONS

[3]

[Anonymous], 2006, Rendiconti di Matematica. Serie. VII

[4]

Appell P., 1880, Ann. Sci. cole Norm. Sup. (2), V9, P119, DOI DOI 10.24033/ASENS.186

[5]

BERNOULLI J, 1713, ARS CONJECTANDI, P97

[6]

BOAS RP, 1964, POLYNIMIAL EXPANSION

[7] Laguerre-type exponentials and generalized Appell polynomials [J].

Bretti, G ;

Cesarano, C ;

Ricci, PE .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 48 (5-6) :833-839

[8] Multidimensional extensions of the Bernoulli and Appell polynomials [J].

Bretti, G ;

Ricci, PE .

TAIWANESE JOURNAL OF MATHEMATICS, 2004, 8 (03) :415-428

[9]

BRETTI G, 2004, ABSTR APPL ANAL, V7, P613, DOI DOI 10.1155/S1085337504306263

[10]

Dattoli G., 2002, FRACT CALC APPL ANAL, V5, P69

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