Simplifying Coefficients in Differential Equations Associated with Higher Order Bernoulli Numbers of the Second Kind
نویسنده
چکیده
In the paper, by virtue of the Faà di Bruno formula, some properties of the Bell polynomials of the second kind, and an inversion formula for the Stirling numbers of the first and second kinds, the authors establish meaningfully and significantly two identities which simplify coefficients in a family of ordinary differential equations associated with higher order Bernoulli numbers of the second kind. E-mail addresses: [email protected], [email protected], [email protected], [email protected], [email protected], [email protected]. 2010 Mathematics Subject Classification. Primary 34A05; Secondary 11A25, 11B68, 11B73, 11B83.
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تاریخ انتشار 2017