Truncated Tangent Polynomials

Nestor Gonzales Acala, Maribeth B. Montero

Abstract

In this paper, we introduce a class of truncated tangent polynomials which generalizes tangent numbers and polynomials, and establish various properties and identities. Moreover, we obtain some interesting correlations of truncated tangent polynomials with the Stirling numbers of the second kind and with the hypergeometric Bernoulli polynomials.

Keywords

Tangent numbers and polynomials, Truncated tangent polynomials, truncated Bernoulli polynomials, Hypergeometric Bernoulli polynomials, Stirling numbers of the second kind, truncated Stirling numbers

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