An identity on pairs of Appell-type polynomials

被引：1

作者：

Mihoubi, Miloud ^{[1
]}

Saidi, Yamina ^{[1
]}

机构：

[1] USTHB, RECITS Lab, Fac Math, Algiers 16111, Algeria

来源：

COMPTES RENDUS MATHEMATIQUE | 2015年 / 353卷 / 09期

关键词：

BERNOULLI POLYNOMIALS; SEQUENCES; ORDER;

D O I：

10.1016/j.crma.2015.06.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we define a sequence of polynomials P-n((alpha)) (x vertical bar A, H) depending only on the choice of two analytic functions A and H in a neighborhood of zero. For a pair of compositional inverses A and B, we will show the identity P-n((alpha)) (x vertical bar B, H o B) = P-n((n+1-alpha)) (1 - x vertical bar A, A'H), which generalize the Carlitz's identity on Bernoulli polynomials. (C) 2015 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：773 / 778

页数：6

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