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)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material.
Exportado de SIDERAL (2020-11-05-08:17:55)
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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)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2020-11-05-08:17:55)
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Record created 2019-05-08, last modified 2020-11-05