ON ANALYTIC FUNCTIONS SUBCLASS DEFINED BY DIFFERENTIAL OPERATOR
ON ANALYTIC FUNCTIONS SUBCLASS DEFINED BY D. O.
Résumé
In this work, we present a novel differential operator-defined a specific set of negative-coefficient analytic univalent functions. For this class, we get subordination results, integral means inequalities, extreme points, and coefficient inequalities.
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Références
\bibitem{1a} E.Deniz and Y. Ozkan(2014) Subclasses of analytic functions defined by new differential operator, Acta.Uni.Apul.
40(2014), 85-95. doi:10.17114/j.aua.2014.40.07
\bibitem{1b} Libera,R.J., (1965), Some classes of regular univalent functions, Proc. Amer. Math. Soc.,
(16), 755-758.http://dx.doi.org/10.1090/S0002-9939-1965-0178131-2
\bibitem{1c} Littlewood, J.E.,(1925), On inequalities in theory of functions, Proc. London Math.
Soc.,(23),481-519. http://dx.doi.org/10.1112/plms/s2-23.1.481
\bibitem{1d} Murugusundaramoorthy, G. , (2012), Subordination results for spirallike functions associ-
ated with Hurwitz-Lerch zeta function , Integral Transforms and Special Function,
23(2), 97-103. doi:10.1080/10652469.2011.562501
\bibitem{1e} Silverman, H., (1975), Univalent functions with negative coefficients,Proc. Amer.
Math. Soc.,51(1), 109-116. http://doi.org/10.1090/S0002-9939-1975-0369678-0
\bibitem{1f} Wilf, H.S., (1961), Subordinating factor sequence for convex maps of the unit circle,
Proc. Amer. Math. Soc.,12, 689-693. http://doi.org/10.1090/S0002-9939-1961-0125214-5
40(2014), 85-95. doi:10.17114/j.aua.2014.40.07
\bibitem{1b} Libera,R.J., (1965), Some classes of regular univalent functions, Proc. Amer. Math. Soc.,
(16), 755-758.http://dx.doi.org/10.1090/S0002-9939-1965-0178131-2
\bibitem{1c} Littlewood, J.E.,(1925), On inequalities in theory of functions, Proc. London Math.
Soc.,(23),481-519. http://dx.doi.org/10.1112/plms/s2-23.1.481
\bibitem{1d} Murugusundaramoorthy, G. , (2012), Subordination results for spirallike functions associ-
ated with Hurwitz-Lerch zeta function , Integral Transforms and Special Function,
23(2), 97-103. doi:10.1080/10652469.2011.562501
\bibitem{1e} Silverman, H., (1975), Univalent functions with negative coefficients,Proc. Amer.
Math. Soc.,51(1), 109-116. http://doi.org/10.1090/S0002-9939-1975-0369678-0
\bibitem{1f} Wilf, H.S., (1961), Subordinating factor sequence for convex maps of the unit circle,
Proc. Amer. Math. Soc.,12, 689-693. http://doi.org/10.1090/S0002-9939-1961-0125214-5
Publiée
2025-10-08
Rubrique
Mathematics and Computing - Innovations and Applications (ICMSC-2025)
Copyright (c) 2025 Boletim da Sociedade Paranaense de Matemática
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