une expression de la fonction ζ(s) de Riemann" [Upon an expression for Riemann's ζ function]. Comptes rendus hebdomadaires des séances de l'Académie des...
71 KB (10,583 words) - 20:33, 18 November 2024
Euler's constant (category CS1 German-language sources (de))
de Mathématiques de Jussieu, Paris. Robin, Guy (1984). "Grandes valeurs de la fonction somme des diviseurs et hypothèse de Riemann" (PDF). Journal de...
70 KB (9,349 words) - 17:02, 18 November 2024
Function of several complex variables (redirect from Idéal de domaines indéterminés)
les fonctions de n variables complexes". Acta Mathematica. 19: 1–61. doi:10.1007/BF02402869. Oka, Kiyoshi (1939). "Sur les fonctions analytiques de plusieurs...
124 KB (17,684 words) - 19:46, 25 October 2024
q = R p {\displaystyle |\zeta |\leq \left\|\left(1,\|a\|_{p}\right)\right\|_{q}=R_{p}} holds, for all 1 ≤ p ≤ ∞. Weierstrass factorization theorem, a...
50 KB (7,606 words) - 15:45, 20 September 2024
Divisor function (category Zeta and L-functions)
S2CID 115619659 Robin, Guy (1984), "Grandes valeurs de la fonction somme des diviseurs et hypothèse de Riemann", Journal de Mathématiques Pures et Appliquées, Neuvième...
26 KB (3,737 words) - 00:20, 18 October 2024
Math. 31 (1900), 264–314. M. F. Vignéras, L'équation fonctionelle de la fonction zêta de Selberg du groupe mudulaire SL ( 2 , Z ) {\displaystyle (2,\mathbb...
14 KB (2,634 words) - 19:01, 18 August 2024
ISBN 978-1-58488-347-0. Waldschmidt, M. "Nombres transcendants et fonctions sigma de Weierstrass." C. R. Math. Rep. Acad. Sci. Canada 1, 111-114, 1978/79. Dusko...
97 KB (3,562 words) - 14:31, 20 October 2024
Pi (category CS1 German-language sources (de))
} An integral such as this was proposed as a definition of π by Karl Weierstrass, who defined it directly as an integral in 1841. Integration is no longer...
148 KB (17,584 words) - 14:55, 11 November 2024
elliptic functions are used more often in practical problems than the Weierstrass elliptic functions as they do not require notions of complex analysis...
73 KB (13,085 words) - 01:03, 1 September 2024
D. (1905). "Sur la continuité des fonctions de variables complexes" (PDF). Annales de la Faculté des Sciences de Toulouse. Série 2. 7 (3): 265–315. Titchmarsh...
25 KB (4,364 words) - 11:36, 11 November 2024
Lemniscate elliptic functions (category CS1 German-language sources (de))
^{n}}{\mathrm {d} z^{n}}}z\zeta (z;1/4,0),\quad n\geq 0} where ζ ( ⋅ ; 1 / 4 , 0 ) {\displaystyle \zeta (\cdot ;1/4,0)} is the Weierstrass zeta function with lattice...
127 KB (23,780 words) - 17:54, 15 November 2024
ISBN 978-0-07-010905-6. Backlund, R.-J. (1914) Sur les zéros de la fonction zeta(s) de Riemann, C. R. Acad. Sci. Paris 158, 1979–1982. "Argument, principle...
9 KB (1,616 words) - 16:46, 22 June 2024
Laplace transform (category CS1 German-language sources (de))
among the first to study the Laplace transform, rigorously in the Karl Weierstrass school of analysis, and apply it to the study of differential equations...
75 KB (9,390 words) - 19:48, 18 November 2024
ISBN 978-0-262-01506-6. Riesz, Frigyes (1907), "Sur une espèce de Géométrie analytique des systèmes de fonctions sommables", C. R. Acad. Sci. Paris, 144: 1409–1411...
128 KB (17,481 words) - 23:15, 6 November 2024
order equation with the Painlevé property can be transformed into the Weierstrass elliptic equation or the Riccati equation, which can all be solved explicitly...
19 KB (2,779 words) - 20:18, 26 September 2024
and ω2 are the periods of the Weierstrass elliptic function, and η1 and η2 are the quasiperiods of the Weierstrass zeta function. Some authors normalize...
10 KB (2,248 words) - 20:50, 2 March 2023
of special relativity on the basis of hyperbolic geometry in terms of Weierstrass coordinates. For instance, by setting l=ct and v/c=tanh(u) with u as...
96 KB (15,389 words) - 08:27, 2 November 2024