Serviços Personalizados
Journal
Artigo
Indicadores
- Citado por SciELO
- Acessos
Links relacionados
- Citado por Google
- Similares em SciELO
- Similares em Google
Compartilhar
Revista Colombiana de Matemáticas
versão impressa ISSN 0034-7426
Rev.colomb.mat. vol.54 no.1 Bogotá jan./jun. 2020
https://doi.org/10.15446/recolma.v54n1.89775
Original articles
Integrals of certain Dirichlet series
Integrales de ciertas series de Dirichlet
1Universidad Nacional del Sur, Bahía Blanca, Argentina
We compute in closed form the integrals of certain expressions involving a class of Dirichlet series. This is a generalization of a formula of Jonathan Borwein to a problem stated (and solved) by A. Ivić.
Keywords: Dirichlet Series; Integrals
Calculamos en forma cerrada integrales de ciertas expresiones que involucran una clase de series de Dirichlet. Esto es una generalización de una fórmula de Jonathan Borwein a un problema enunciado (y resuelto) por A. Ivić.
Palabras clave: Integrales; Series de Dirichlet
REFERENCES
[1] J. Borwein, A Class of Dirichlet Series Integrals, The American Mathematical Monthly 114 (2007), 70-76. [ Links ]
[2] I. D. Gradshteyn and I. M. Ryzhik, Table of integrals series and products, Academic Press, 1965. [ Links ]
[3] A. Ivić, Solution to a Monthly Problem # 10939, proposed by A. Ivić, with his solution in The American Mathematical Monthly 110 (2003), 847-848. [ Links ]
Received: August 13, 2019; Accepted: September 16, 2019