[Application des polynômes de Chebyshev à des classes de fonctions analytiques]
Notre propos dans cette Note est d'étudier quelques propriétés de base des polynômes de Chebyshev habituels en théorie des fonctions analytiques. Nous considérons plusieurs caractéristiques fondamentales pour les classes , de fonctions f satisfaisant , , analytiques dans le disque unité ouvert et telles que pour , on ait :
Our objective in this paper is to consider some basic properties of the familiar Chebyshev polynomials in the theory of analytic functions. We investigate some basic useful characteristics for a class , , of functions f, with , , analytic in the open unit disc satisfying the condition that
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Jacek Dziok 1 ; Ravinder Krishna Raina 2 ; Janusz Sokół 3
@article{CRMATH_2015__353_5_433_0, author = {Jacek Dziok and Ravinder Krishna Raina and Janusz Sok\'o{\l}}, title = {Application of {Chebyshev} polynomials to classes of analytic functions}, journal = {Comptes Rendus. Math\'ematique}, pages = {433--438}, publisher = {Elsevier}, volume = {353}, number = {5}, year = {2015}, doi = {10.1016/j.crma.2015.02.001}, language = {en}, }
TY - JOUR AU - Jacek Dziok AU - Ravinder Krishna Raina AU - Janusz Sokół TI - Application of Chebyshev polynomials to classes of analytic functions JO - Comptes Rendus. Mathématique PY - 2015 SP - 433 EP - 438 VL - 353 IS - 5 PB - Elsevier DO - 10.1016/j.crma.2015.02.001 LA - en ID - CRMATH_2015__353_5_433_0 ER -
Jacek Dziok; Ravinder Krishna Raina; Janusz Sokół. Application of Chebyshev polynomials to classes of analytic functions. Comptes Rendus. Mathématique, Volume 353 (2015) no. 5, pp. 433-438. doi : 10.1016/j.crma.2015.02.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.02.001/
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