Rational approximation to Euler's constant at a geometric rate of convergence

Adell, JA (Universidad de Zaragoza) ; Lekuona, A (Universidad de Zaragoza)

Resumen: We give a rational approximation to Euler''s constant at a geometric rate of convergence, which is easy to compute. Moreover, such an approximation is completely monotonic. The approximants are built up in terms of expectations of the harmonic numbers acting on the standard Poisson process.

Idioma: Inglés

DOI: 10.1090/mcom/3528

Año: 2020

Publicado en: MATHEMATICS OF COMPUTATION 89, 325 (2020), 2553-2561
ISSN: 0025-5718

Factor impacto JCR: 2.417 (2020)

Categ. JCR: MATHEMATICS, APPLIED rank: 48 / 265 = 0.181 (2020) - Q1 - T1

Factor impacto SCIMAGO: 1.95 - Algebra and Number Theory (Q1) - Computational Mathematics (Q1) - Applied Mathematics (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E64
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2015-67006-P

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Estadís. Investig. Opera. (Dpto. Métodos Estadísticos)