Secant and cosecant sums and Bernoulli-Nörlund polynomials

Abstract

We give explicit formulæ for sums of even powers of secant and cosecant values in terms of Bernoulli numbers and central factorial numbers.

Keywords: Secant sums; cosecant sums; Bernoulli-Nörlund polynomials, exact formulas

Quaestiones Mathematicae 30(2007), 159–165