Comptes Rendus
no. 21-22
Complex analysis
Subclasses of p-valent functions of bounded boundary rotation involving the generalized fractional differintegral operator

Presented by: the Editorial Board

Tamer M. Seoudy1; Mohamed K. Aouf2
1 Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, Egypt
2 Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Comptes Rendus. Mathématique, Volume 351 (2013) no. 21-22, pp. 787-792.

We introduce certain subclasses of p-valent functions of bounded boundary rotation involving the generalized fractional differintegral operator and investigate various inclusion relationships for these subclasses. Some interesting applications involving certain classes of integral operators are also considered.

Nous introduisons certaines sous-classes de fonctions p-valentes de rotation frontière bornée, relatives à lʼopérateur différo-intégral fractionnaire généralisé, et obtenons diverses relations dʼinclusion de ces sous-classes. Quelques applications intéressantes impliquant certaines classes dʼopérateurs intégraux sont également considérées.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2013.10.013

Tamer M. Seoudy 1; Mohamed K. Aouf 2

1 Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, Egypt
2 Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt 
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Tamer M. Seoudy; Mohamed K. Aouf. Subclasses of p-valent functions of bounded boundary rotation involving the generalized fractional differintegral operator. Comptes Rendus. Mathématique, Volume 351 (2013) no. 21-22, pp. 787-792. doi : 10.1016/j.crma.2013.10.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.10.013/

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