Accurate approximations of the Mathieu series

DOI10.1016/j.mcm.2010.10.027zbMath1217.33014OpenAlexW2010180652MaRDI QIDQ552097

Cristinel Mortici

Publication date: 21 July 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.10.027

zbMATH Keywords

inequalitiesapproximationsMathieu series

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items

Multiple-correction and continued fraction approximation. II, \(p\)-extended Mathieu series from the Schlömilch series point of view, Partial reciprocal sums of the Mathieu series

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mathieu series and associated sums involving the zeta functions
• Mercerian theorems involving Cesaro means of positive order
• On Mathieu's inequality
• Asymptotic expansion and continued fraction for Mathieu's series
• Notes on double inequalities of Mathieu's series
• Some new bounds for Mathieu's series
• Das Problem der eingespannten rechteckigen elastischen Platte. I: Die biharmonische Randwertaufgabe für das Rechteck
• Über die Reihe \(\sum_{k=1}^\infty\) \({k\over (k^2+c^2)^2}\)
• Über eine Abschätzung von Mathieu