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

2012/04/23 by Shi-Mei Ma, Ma, Shi-Mei
Mathematics · #05A15 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials #math.CO #msc:05A15

paper · pdf · doi:10.48550/arxiv.1204.4963

13 pages

openalex publication_date 2012/04/23 · arxiv created 2012/05/10 · arxiv updated 2012/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

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

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