An extension of the Taylor series expansion by using the Bell polynomials

被引：0
|
作者：
Mohammad Masjed-Jamei
Zahra Moalemi
Wolfram Koepf
H. M. Srivastava
机构：
[1] K. N. Toosi University of Technology,Department of Mathematics
[2] University of Kassel,Department of Mathematics
[3] University of Victoria,Department of Mathematics and Statistics
[4] China Medical University,Department of Medical Research, China Medical University Hospital
来源：
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2019年 / 113卷
关键词：
Bell polynomials; Taylor series expansion; Interpolation formulas; Generating functions; Stirling numbers, Lagrange, Newton and Hermite interpolations; Lagrange inversion theorem; Polylogarithm function (or ; )  function; Biorthogonality relation; Primary 65D05; Secondary 41A05; 42A15;
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学科分类号：
摘要：
By using the Bell polynomials, we introduce an extension of the Taylor series expansion and consider some of its special cases leading to new series and new identities. We also apply the extended expansion for deriving generating functions of such widely-investigated sequences of numbers as (for example) the Stirling numbers of the first and second kind.
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页码：1445 / 1461
页数：16
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