Derivative Polynomials, Euler Polynomials, and Associated Integer Sequences

Let Pn and Qn be the polynomials obtained by repeated differentiation of the tangent and secant functions respectively. From the exponential generating functions of these polynomials we develop relations among their values, which are then applied to various numerical sequences which occur as values of the Pn and Qn. For example, Pn(0) and Qn(0) are respectively the nth tangent and secant numbers, while Pn(0) + Qn(0) is the nth Andr

• Type: Journal
• Year: 1999
• Where: COMBINATORICS
• Authors: Michael E. Hoffman
• Keywords: Andr´e Numbers, COMBINATORICS 1999, Exponential Generating Functions, Polynomials