Integral representations of functions and Addison-type series for mathematical constants - Mathematical PhysicsReportar como inadecuado




Integral representations of functions and Addison-type series for mathematical constants - Mathematical Physics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We generalize techniques of Addison to a vastly larger context. We obtainintegral representations in terms of the first periodic Bernoulli polynomialfor a number of important special functions including the Lerch zeta,polylogarithm, Dirichlet $L$- and Clausen functions. These results then enablea variety of Addison-type series representations of functions. Moreover, weobtain integral and Addison-type series for a variety of mathematicalconstants.



Autor: Mark W. Coffey

Fuente: https://arxiv.org/







Documentos relacionados