Signed Generalized Stirling Polynomials, Nested Sums, and Hyperbolic Secant Integral Identities

Abdulhafeez A. Abdulsalam, Michael J. Schlosser

We study signed generalized Stirling polynomials $P_k(m,x)$ arising in closed forms for Malmsten-type hyperbolic secant integrals. Their product structure is used to prove recurren…