21,645 research outputs found
New Upper Bounds for Mathieu-Type Series
No full textThe Mathieu’s series S(r) was considered firstly by É.L. Mathieu in 1890;
its alternating variant Š(r) has been recently introduced by Pogány et al. [Some families of Mathieu a-series and
alternating Mathieu a-series, 2006]
where various bounds have been established for S, Š. In this note we obtain
new upper bounds over S(r), Š(r) with the help of Hardy–Hilbert double integral
inequality
Integral Representation of a Series Which One Includes the Mathieu A-Series
No full textAbstractIntegral expression is deduced for the series S(r,μ,ν,a)=∑n=1∞2F1ν−μ+12,ν−μ2+1;ν+1;−r2a(n)2a(n)ν−μ+1(a(n)2+r2)μ−1/2, where r>0, μ>1/2, ν+1<μ and a:0<a(1)<a(2)<⋯<a(n)↑∞, and 2F1 is the Gauß hypergeometric function. The result precizes the integral expression for the generalized Qi type Mathieu a-series S(r,p,a)=∑n=0∞a(n)(a(n)2+r2)−p−1 given in [J. Inequal. Pure Appl. Math. 4 (2003), (4.5)] generalizing some other results by Cerone and Lenard, Tomovski and Qi as well. Bounding inequalities are given for S(r,μ,ν,a) using the derived integral expression
Fig. 2. – Peperomia robusta G. Mathieu. A in Endemic Peperomia (Piperaceae) novelties from eastern Madagascar
No full textFig. 2. – Peperomia robusta G. Mathieu. A. General habit; B. Detail of node; C. Fruit (lateral view). [A, B: Mathieu 446, BR; C: Mathieu 485, BR] [Drawing: G. Mathieu]Published as part of Mathieu, Guido, 2020, Endemic Peperomia (Piperaceae) novelties from eastern Madagascar, pp. 75-82 in Candollea 75 (1) on page 79, DOI: 10.15553/c2020v751a7, http://zenodo.org/record/572481
C. Mollier, Une Apocalypse taoïste du Ve siècle. Le livre des incantations divines des grottes abyssales (Rémi Mathieu)
No full textMathieu Rémi. C. Mollier, Une Apocalypse taoïste du Ve siècle. Le livre des incantations divines des grottes abyssales (Rémi Mathieu). In: L'Homme, 1992, tome 32 n°121. Anthropologie du proche. pp. 219-220
Torsion units in integral group ring of the Mathieu simple group M22
No full textAbstractWe investigate the possible character values of torsion units of the normalized unit group of the integral group ring of the Mathieu sporadic group M22. We confirm the Kimmerle conjecture on prime graphs for this group and specify the partial augmentations for possible counterexamples to the stronger Zassenhaus conjecture.</jats:p
Fig. 1. – Peperomia irrasa G. Mathieu. A in Endemic Peperomia (Piperaceae) novelties from eastern Madagascar
No full textFig. 1. – Peperomia irrasa G. Mathieu. A. General habit; B. Detail of node; C. Detail of leaf apex. [Humbert 24638, BR, P] [Drawing: G. Mathieu]Published as part of Mathieu, Guido, 2020, Endemic Peperomia (Piperaceae) novelties from eastern Madagascar, pp. 75-82 in Candollea 75 (1) on page 77, DOI: 10.15553/c2020v751a7, http://zenodo.org/record/572481
Fig. 3. – Peperomia robusta G. Mathieu. A in Endemic Peperomia (Piperaceae) novelties from eastern Madagascar
No full textFig. 3. – Peperomia robusta G. Mathieu. A. General habit; B. Apical part of flowering stem; C. Infrutescence. [Nusbaumer 1639] [Photos: L. Nusbaumer]Published as part of Mathieu, Guido, 2020, Endemic Peperomia (Piperaceae) novelties from eastern Madagascar, pp. 75-82 in Candollea 75 (1) on page 80, DOI: 10.15553/c2020v751a7, http://zenodo.org/record/572481
Mathieu Gilbert — Peut-on loger les Français ?
No full textC. P. Mathieu Gilbert — Peut-on loger les Français ?. In: Population, 21ᵉ année, n°6, 1966. p. 1242
Mathieu Gilbert — Peut-on loger les Français ?
No full textC. P. Mathieu Gilbert — Peut-on loger les Français ?. In: Population, 21ᵉ année, n°6, 1966. p. 1242
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