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A note on Mathieu's inequality

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Publication:1119763
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DOI10.1007/BF01836097zbMath0671.26010MaRDI QIDQ1119763

D. C. Russell

Publication date: 1988

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137290


zbMATH Keywords

Bernoulli numbersMathieu conjectureMathieu inequality


Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15)


Related Items (4)

On Mathieu's inequality ⋮ Some remarks on the Mathieu series ⋮ On Mathieu-type series whose terms contain a generalized hypergeometric function \(_pF_q\) and Meijer's \(G\)-function ⋮ Some new bounds for Mathieu's series



Cites Work

  • Mercerian theorems involving Cesaro means of positive order
  • Über die Reihe \(\sum_{k=1}^\infty\) \({k\over (k^2+c^2)^2}\)
  • Über eine Abschätzung von Mathieu
  • Unnamed Item


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