Some Identities for a Sequence of Unnamed Polynomials Connected with the Bell Polynomials
نویسنده
چکیده
In the paper, using two inversion theorems for the Stirling numbers and binomial coefficients, employing properties of the Bell polynomials of the second kind, and utilizing a higher order derivative formula for the ratio of two differentiable functions, the authors present two explicit formulas, a determinantal expression, and a recursive relation for a sequence of unnamed polynomials, derive two identities connecting the sequence of unnamed polynomials with the Bell polynomials, and recover a known identity connecting the sequence of unnamed polynomials with the Bell polynomials. E-mail addresses: [email protected], [email protected], [email protected], [email protected], [email protected], [email protected]. 2010 Mathematics Subject Classification. Primary 11B83; Secondary 05A15, 11A25, 11B65, 11B73, 11C08, 33B10.
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