Some new formulas of complete and incomplete degenerate Bell polynomials

被引：0
|
作者：
Dae San Kim
Taekyun Kim
Si-Hyeon Lee
Jin-Woo Park
机构：
[1] Sogang University,Department of Mathematics
[2] Kwangwoon University,Department of Mathematics
[3] Daegu University,Department of Mathematics Education
来源：
Advances in Difference Equations | / 2021卷
关键词：
Complete degenerate Bell polynomials; Incomplete degenerate Bell polynomials; 11B73; 11B83;
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摘要：
The aim of this paper is to study the complete and incomplete degenerate Bell polynomials, which are degenerate versions of the complete and incomplete Bell polynomials, and to derive some properties and identities for those polynomials. In particular, we introduce some new polynomials associated with the incomplete degenerate Bell polynomials. In fact, they are the coefficients of the reciprocal of the power series given by 1 plus the one appearing as the exponent of the generating function of the complete degenerate Bell polynomials.
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