Explicit Formulas for Special Values of the Bell Polynomials of the Second Kind and for the Euler Numbers and Polynomials

被引：0
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作者：
Feng Qi
Bai-Ni Guo
机构：
[1] Henan Polytechnic University,Institute of Mathematics
[2] Inner Mongolia University for Nationalities,College of Mathematics
[3] Tianjin Polytechnic University,Department of Mathematics, College of Science
[4] Henan Polytechnic University,School of Mathematics and Informatics
来源：
Mediterranean Journal of Mathematics | 2017年 / 14卷
关键词：
Explicit formula; special value; Bell polynomial of the second kind; Euler number; Euler polynomial; double sum; weighted Stirling number; property; Primary 11B68; Secondary 11B83; 12E10; 33B10;
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摘要：
In the paper, the authors establish by two approaches several explicit formulas for special values of the Bell polynomials of the second kind, derive explicit formulas for the Euler numbers and polynomials in terms of double sums and the weighted Stirling numbers, and find a property for special values of the Bell polynomials of the second kind.
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