An explicit formula for derivative polynomials of the tangent function

Abstract

In the paper, the authors derive an explicit formula for derivative polynomials of the tangent function, deduce an explicit formula for tangent numbers, pose an open problem about obtaining an alternative and explicit formula for derivative polynomials of the tangent function, and recommend some papers closely related to derivative polynomials of other elementary and applicable functions.

Keywords

• derivative polynomial
• tangent function
• explicit formula
• tangent number
• open problem
• 26c99
• 26a06
• 26a09
• 16a24
• 33b10
• 42a05