On certain classes of Univalent Functions associated with Riemann Fractional Derivative
Résumé
In this paper, by making use of the concepts of fractional calculus, we define the subclass $S(r,\lambda,\delta,t)$ of analytic function by using $\Omega^{\delta}\mathfrak{f(\tau)}$. For function belonging to this class, we obtain co-efficient estimates, inclusions relations, extreme points and some more properties.
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Références
\bibitem{1} B.A.Frasin, \textit{On certain subclasses of analytic functions associated with Poisson distribution series}. Acta Universitatis Sapientiae, Mathematica, 2019;11(1):78-86.
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\bibitem{3} K.S.Padmanabhan, \textit{On certain classes of starlike functions in the unit disk}, J. Indian Math, Soc 32, no. 1-2 (1968): 89-103.
\bibitem{4} M.L.Mogra, \textit{On a class of starlike functions in the unit disc I}, J. Indian Math, Soc 40 (1976): 159-161.
\bibitem{5} S.Owa, \textit{On certain classes of univalent functions in the unit disk}, Kyungpook Mathematical Journal, 24 (1984).
\bibitem{6} S.Owa and H. M. Srivatsava, \textit{Univalent and starlike generalized hypergeometric functions}, Canadian Journal of Mathematics, vol.39, no.5,(1987),pp.1057-1077.
\bibitem{7} S. Owa, \textit{On the distortion theorems I}, Kyungpook Math. J., 18(1978), 53-59.
\bibitem{8} Y.Komato, \textit{On analytic prolongation of a family of operators}, Mathematica(Cluj),39(55), 1990,141-145.
\bibitem{2} B.A.Frasin, Tariq Al-Hawary and Feras Yousef,\textit{ Necessary and sufficient conditions for hypergeometric functions to be in a subclass of analytic functions}, Afrika Matematika, 30 (2019): 223-230.
\bibitem{3} K.S.Padmanabhan, \textit{On certain classes of starlike functions in the unit disk}, J. Indian Math, Soc 32, no. 1-2 (1968): 89-103.
\bibitem{4} M.L.Mogra, \textit{On a class of starlike functions in the unit disc I}, J. Indian Math, Soc 40 (1976): 159-161.
\bibitem{5} S.Owa, \textit{On certain classes of univalent functions in the unit disk}, Kyungpook Mathematical Journal, 24 (1984).
\bibitem{6} S.Owa and H. M. Srivatsava, \textit{Univalent and starlike generalized hypergeometric functions}, Canadian Journal of Mathematics, vol.39, no.5,(1987),pp.1057-1077.
\bibitem{7} S. Owa, \textit{On the distortion theorems I}, Kyungpook Math. J., 18(1978), 53-59.
\bibitem{8} Y.Komato, \textit{On analytic prolongation of a family of operators}, Mathematica(Cluj),39(55), 1990,141-145.
Publiée
2026-02-04
Rubrique
Research Articles
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