New properties of the Lerch's transcendent

Ferreira, E. M. ; Kohara, A. K. ; Sesma, J. (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.1016/j.jnt.2016.08.013

Año: 2017

Publicado en: JOURNAL OF NUMBER THEORY 172 (2017), 21-31
ISSN: 0022-314X

Factor impacto JCR: 0.774 (2017)

Categ. JCR: MATHEMATICS rank: 127 / 309 = 0.411 (2017) - Q2 - T2

Factor impacto SCIMAGO: 1.275 - Algebra and Number Theory (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E24-1
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2009-11154

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Física Teórica (Dpto. Física Teórica)