Generalization of the quotient mean series
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Publication:2311931
DOI10.1007/s00025-019-1008-9zbMath1432.40012OpenAlexW2943575366MaRDI QIDQ2311931
Publication date: 4 July 2019
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-019-1008-9
gamma functionDirichlet seriesEuler-Maclaurin summation formulameansMathieu seriesquotient mean Mathieu series
Inequalities for sums, series and integrals (26D15) Multiple sequences and series (40B05) Special methods of summability (40G99) Lamé, Mathieu, and spheroidal wave functions (33E10)
Cites Work
- Some remarks on the Mathieu series
- Quotient mean series
- Certain fractional calculus formulas involving extended generalized Mathieu series
- Generalized Volterra functions, its integral representations and applications to the Mathieu-type series
- A linear ODE for the Omega function associated with the Euler function \(E_{\alpha}(z)\) and the Bernoulli function \(B_{\alpha }(z)\)
- Some families of Mathieu \(\mathbf a\)-series and alternating Mathieu \(\mathbf a\)-series
- Das Problem der eingespannten rechteckigen elastischen Platte. I: Die biharmonische Randwertaufgabe für das Rechteck
- A fresh approach to classical Eisenstein series and the newer Hilbert–Eisenstein series
- Integral representation of Mathieu (a, λ)-series
- Some two-sided bounding inequalities for the Butzer-Flocke-Hauss omega function
- Integral representation for Neumann series of Bessel functions
- Application of the mathieu series to the boundary integral method
- New inequalities for some generalized Mathieu type series and the Riemann zeta function
- Some families of generalized Mathieu-type power series, associated probability distributions and related inequalities involving complete monotonicity and log-convexity
- Upper bound on √x Jν(x) and its applications
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