
AIMS Mathematics, 2019, 4(2): 170175. doi: 10.3934/math.2019.2.170.
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Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind
1 School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, China
2 College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, China
3 Department of Mathematics, East China Normal University, Shanghai 200241, China
4 School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, China
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Keywords: simplification; coefficient; ordinary differential equation; higher order Bernoulli number of the second kind; Stirling number of the first kind; Stirling number of the second kind; inversion formula; Bell polynomial of the second kind; Faà di Bruno formula
Citation: Feng Qi, DaWei Niu, BaiNi Guo. Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind. AIMS Mathematics, 2019, 4(2): 170175. doi: 10.3934/math.2019.2.170
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This article has been cited by:
 1. Feng Qi, AiQi Liu, Dongkyu Lim, , Mathematical Modelling, Applied Analysis and Computation, 2019, Chapter 2, 41, 10.1007/9789811396083_2
 2. Feng Qi, YongHong Yao, Simplifying coefficients in differential equations for generating function of Catalan numbers, Journal of Taibah University for Science, 2019, 13, 1, 947, 10.1080/16583655.2019.1663782
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