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Signed Generalized Stirling Polynomials, Nested Sums, and Hyperbolic Secant Integral Identities
We begin with the observation that the signed generalized Stirling polynomials $P_k(m,x)$, which occur in a generalization of Malmsten's integral, reduce to the falling factorials when $k=m$. The structure of these generalized Stirling polynomials is then used to obtain recurrence relations, gamma--
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