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New characterization of the class of starlike functions
Emel Yavuz,Yasar Polatoglu,Shigeyoshi Owa 대한수학회 2008 대한수학회보 Vol.45 No.4
For analytic functions f(z) in the open unit disc D, an operator Nα(f(z)) relating with starlike functions is introduced. The object of the present paper is to discuss some properties of the operator Nα(f(z)). For analytic functions f(z) in the open unit disc D, an operator Nα(f(z)) relating with starlike functions is introduced. The object of the present paper is to discuss some properties of the operator Nα(f(z)).
NEW CHARACTERIZATION OF THE CLASS OF STARLIKE FUNCTIONS
Yavuz, Emel,Polatoglu, Yasar,Owa, Shigeyoshi Korean Mathematical Society 2008 대한수학회보 Vol.45 No.4
For analytic functions f(z) in the open unit disc $\mathbb{D}$, an operator $N_{\alpha}(f(z))$ relating with starlike functions is introduced. The object of the present paper is to discuss some properties of the operator $N_{\alpha}(f(z))$.
CONVOLUTION PROPERTIES FOR ANALYTIC FUNCTIONS DEFINED BY q-DIFFERENCE OPERATOR
Cetinkaya, Asena,Sen, Arzu Yemisci,Polatoglu, Yasar The Honam Mathematical Society 2018 호남수학학술지 Vol.40 No.4
In this paper, we defined new subclasses of Spirallike and Robertson functions by using concept of q-derivative operator. We investigate convolution properties and coefficient estimates for both classes q-Spirallike and q-Robertson functions denoted by ${\mathcal{S}}^{\lambda}_q[A,\;B]$ and ${\mathcal{C}}^{\lambda}_q[A,\;B]$, respectively.
CONVOLUTION PROPERTIES FOR ANALYTIC FUNCTIONS DEFINED BY q-DIFFERENCE OPERATOR
Asena Cetinkaya,Arzu Yemis ci S en,Yasar Polatoglu 호남수학회 2018 호남수학학술지 Vol.40 No.4
In this paper, we de ned new subclasses of Spirallike and Robertson functions by using concept of q-derivative operator. We investigate convolution properties and coe cient estimates for both classes q-Spirallike and q-Robertson functions denoted by Sq [A;B] and Cq [A;B], respectively.