ON A SUBCLASS OF CERTAIN STARLIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS

Title & Authors
ON A SUBCLASS OF CERTAIN STARLIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS
Kamali, Muhammet; Orhan, Halit;

Abstract
A certain subclass $\small{T_{\Omega}(n,\;p,\;\lambda,\;\alpha)}$ of starlike functions in the unit disk is introduced. The object of the present paper is to derive several interesting properties of functions belonging to the class $\small{T_{\Omega}(n,\;p,\;\lambda,\;\alpha)}$. Coefficient inequalities, distortion theorems and closure theorems of functions belonging to the class $\small{T_{\Omega}(n,\;p,\;\lambda,\;\alpha)}$ are determined. Also we obtain radii of convexity for the class $\small{T_{\Omega}(n,\;p,\;\lambda,\;\alpha)}$. Furthermore, integral operators and modified Hadamard products of several functions belonging to the class $\small{T_{\Omega}(n,\;p,\;\lambda,\;\alpha)}$ are studied here.
Keywords
Language
English
Cited by
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References
1.
Math. Japon, 1991. vol.36. 3, pp.489-495

2.
Comput. Math. Appl., 1995. vol.30. 2, pp.9-15

3.
Turkish J. Math., 1996. vol.20. 3, pp.353-368

4.
Appl. Math. Comput., 2003. vol.145. 2;3, pp.341-350

5.
Lecture Notes in Math., 1983. vol.1013. pp.362-372

6.
Ann. Univ. Mariae Curie-Sklodowska Sect., 1975. vol.A29. pp.99-107

7.
Proc. Amer. Math. Soc., 1975. vol.51. pp.109-116

8.
Rend. Sem. Math. Univ. Padova, 1987. vol.77. pp.115-124