78883 20201105083204.0 doi 10.1016/j.jnt.2016.08.013 sideral 96642 ART-2017-96642 eng Ferreira, E. M. New properties of the Lerch's transcendent 2017 Access copy available to the general public Unrestricted A new representation of the Lerch''s transcendent F(z, s, a), valid for positive integer s=n=1, 2, … and for z and a belonging to certain regions of the complex plane, is presented. It allows to write an equation relating F(z, n, a) and F(1/z, n, 1-a), which in turn provides an expansion of F(z, n, a) as a power series of 1/z, convergent for |z|>1. info:eu-repo/grantAgreement/ES/DGA/E24-1 info:eu-repo/grantAgreement/ES/MICINN/MTM2009-11154 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 0.774 2017 MATHEMATICS 127 / 309 = 0.411 2017 Q2 T2 1.275 2017 Algebra and Number Theory 2017 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Kohara, A. K. (orcid)0000-0002-3837-8303 Sesma, J. Universidad de Zaragoza 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 172 (2017), 21-31 J. number theory JOURNAL OF NUMBER THEORY 0022-314X 220399 http://zaguan.unizar.es/record/78883/files/texto_completo.pdf Postprint 34242 http://zaguan.unizar.es/record/78883/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:78883 articulos driver 2020-11-05-08:17:55 ARTICLE