des fonctions (in French). Editions Jacques Gabay (published 1989). ISBN 2-87647-060-8. Mitrinović, Dragoslav; Kečkić, Jovan (1984). The Cauchy method...

original French terms were holomorphe and méromorphe: Lorsqu'une fonction est continue, monotrope, et a une dérivée, quand la variable se meut dans une...

Helge (1895). "Sur un théorème de Stieltjes et sur les fonctions définies par des fractions continues". Bulletin de la Société Mathématique de France. 23:...

Delta-epsilon proofs is, arguably, first found in the works of Cauchy in the 1820s. Cauchy did not clearly distinguish between continuity and uniform continuity...

mathematicians associated with complex numbers include Euler, Gauss, Riemann, Cauchy, Gösta Mittag-Leffler, Weierstrass, and many more in the 20th century. Complex...

his lifetime. Though his first attempt was refused by Cauchy, in February 1830 following Cauchy's suggestion he submitted it to the academy's secretary...

first paper was published in 1898 and was titled "Sur l'approximation des fonctions". It dealt with Weierstrass's theorem on approximation to continuous functions...

doi:10.4099/jjm1924.17.0_517. PDF TeX. Oka, Kiyoshi (1941). "L'intégrale de Cauchy". Japanese Journal of Mathematics. 17: 523–531. PDF TeX. Oka, Kiyoshi (1942)...

dx=\pi .} The Shannon entropy of the Cauchy distribution is equal to ln(4π), which also involves π. The Cauchy distribution plays an important role in...

de Cauchy et les équations aux dérivées partielles linéaires hyperboliques, Hermann 1932 (Lectures given at Yale, Eng. trans. Lectures on Cauchy's problem...

polynomials; or locally square-integrable solutions to the n-dimensional Cauchy–Riemann equations. For one complex variable, every domain( D ⊂ C {\displaystyle...

partial differential equations contains what is now commonly known as the Cauchy–Kovalevskaya theorem, which proves the existence and analyticity of local...

be calculated. At the end of the century, Lagrange in his Théorie des fonctions analytiques (1797) opined that the lack of rigour precluded further development...

written during his stay in Paris in 1826 and presented to Augustin-Louis Cauchy in October of the same year. This theory, later fully developed by others...

the researches of Cauchy, Jacobi, and Weierstrass. 1813 copy of "Theorie des fonctions analytiques" Title page to "Theorie des fonctions analytiques" Introduction...

{\displaystyle x_{n}} .) The sequence ( x n ) {\displaystyle \left(x_{n}\right)} is Cauchy because x n ∈ B ( x m , r m ) {\displaystyle x_{n}\in B\left(x_{m},r_{m}\right)}...

convergence des séries trigonométriques qui servent à représenter une fonction arbitraire entre des limites données" [On the convergence of trigonometric...

Mathématiques de Jussieu, Paris. Robin, Guy (1984). "Grandes valeurs de la fonction somme des diviseurs et hypothèse de Riemann" (PDF). Journal de mathématiques...

of the article lower bounds will not be given explicitly. Lagrange and Cauchy were the first to provide upper bounds on all complex roots. Lagrange's...

The following is a list of his works: "Sur quelques applications des fonctions elliptiques", Paris, 1855; page images from Cornell. "Cours d'Analyse...

1007/BF01181075, S2CID 117936362 Backlund, R. J. (1914), "Sur les Zéros de la Fonction ζ(s) de Riemann", C. R. Acad. Sci. Paris, 158: 1979–1981 Beurling, Arne...

wikiversity.org. Retrieved 2024-08-04. Cauchy, A. L. (January 1815). "Mémoire Sur le Nombre des Valeurs qu'une Fonction peut acquérir, lorsqu'on y permute...

fonctions automorphes 1952–1953 Jean Combes Fonctions analytiques sur une surface de Riemann 1953–1954 Yvonne Fourès-Bruhat Le problème de Cauchy pour...

doi:10.1016/j.jnt.2013.07.017. Hardy, G.H. (1914). "Sur les zeros de la fonction ζ(s)". Comptes rendus de l'Académie des Sciences. 158. French Academy of...

G. (1892). "Résumé de quelques travaux sur les systèmes variables de fonctions associés à une forme différentielle quadratique". Bulletin des Sciences...

word "determinant" in the modern sense appeared in: Cauchy, Augustin-Louis "Memoire sur les fonctions qui ne peuvent obtenir que deux valeurs égales et...

is expressed using a form of the Cauchy criterion for sequences in H: a pre-Hilbert space H is complete if every Cauchy sequence converges with respect...

chain rule appears in Lagrange's 1797 Théorie des fonctions analytiques; it also appears in Cauchy's 1823 Résumé des Leçons données a L’École Royale Polytechnique...

proved the general form of the Cauchy–Schwarz inequality that had previously been known only in specific examples. He continued with the development of the...

are the convolution of the original two sequences. This is known as the Cauchy product of the coefficients of the sequences. Thus when g has finite support...