fonction Gamma Book by Maurice Godefroy - Bookswagon
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fonction Gamma

fonction Gamma


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International Edition


About the Book

"On peut définir la fonction gamma, soit, d'après les procédés de l'an- cienne Analyse, au moyen d'une expression déterminée, soit, confor- mément aux idées modernes sur la théorie des fonctions, en partant de certaines équations fonctionnelles. Si l'on fait abstraction de cette der- nière méthode qui n'a donné naissance qu'à de rares travaux(1), très importants d'ailleurs, on se trouve en présence de deux définitions, dues l'une et l'autre à Euler. La première, fondée sur la considération de la limite d'un produit, a été préconisée par Gauss (2) et Liouville (3). La seconde, où Γ(x) est l'expression d'une intégrale définie, a été adoptée successivement par Euler, Legendre et presque tous les analystes. On doit chercher, sans doute, la raison de cette préférence exclusive dans les nombreux rapports qui relient l'étude de Γ(x) à celle des intégrales définies. Cependant la définition choisie par Gauss, non seulement pos- sède l'avantage d'une plus grande généralité, puisque la variable n'y est astreinte qu'à la seule condition restrictive de ne pas être égale à un entier négatif, mais encore elle révèle immédiatement la nature même de cette transcendante et permet d'établir toutes ses propriétés d'une manière plus concise, plus rigoureuse et aussi plus naturelle; au lieu de reposer sur une suite d'artifices, parfois compliqués, les démonstrations se développent avec une remarquable uniformité." (...)


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Product Details
  • ISBN-13: 9791041941070
  • Publisher: Bod Third Party Titles
  • Publisher Imprint: Culturea
  • Height: 210 mm
  • No of Pages: 100
  • Spine Width: 6 mm
  • Weight: 190 gr
  • ISBN-10: 1041941072
  • Publisher Date: 17 Dec 2022
  • Binding: Paperback
  • Language: French
  • Returnable: N
  • Sub Title: Théorie, histoire, bibliographie
  • Width: 148 mm


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