A family of two-variable derivative polynomials for tangent and secant

Abstract

In this paper we introduce a family of two-variable derivative polynomials for tangent and secant. We study the generating functions for the coefficients of this family of polynomials. In particular, we establish a connection between these generating functions and Eulerian polynomials.

13 pages

References in corpus (1)

• The method of characteristics, and "problem 89" of Graham, Knuth and Patashnik

Cited by in corpus (1)

• On some binomial coefficients related to the evaluation of tan(nx)