نتایج جستجو برای: starlike and strongly starlike functions

تعداد نتایج: 16894349  

Journal: :Proceedings of the American Mathematical Society 1985

In this paper, we introduced and investigated starlike and convex functions of order α with respect to 2(j,k)-symmetric conjugate points and coefficient inequality for function belonging to these classes are provided . Also we obtain some convolution condition for functions belonging to this class.

2010
RONALD J. LEACH

Classes of multivalent functions analogous to certain classes of univalent starlike functions are defined and studied. Estimates on coefficients and distortion are made, using a variety of techniques. 1. Let St denote the class of all functions/(z) = z + . . . analytic, univalent and starlike in the unit disc U. Such functions satisfy the condition Re(z/'(z)//(z)) >0,zGU. The problem of definin...

Journal: :Colloquium Mathematicum 1986

2013
G. MURUGUSUNDARAMOORTHY G. Murugusundaramoorthy

Coefficient bounds for some subclasses of p-valently starlike functions Abstract. For functions of the form f(z) = z+ ∑∞ n=1 ap+nz p+n we obtain sharp bounds for some coefficients functionals in certain subclasses of starlike functions. Certain applications of our main results are also given. In particular, Fekete–Szegö-like inequality for classes of functions defined through extended fractiona...

Journal: :Proceedings of the American Mathematical Society 1972

Journal: :Rocky Mountain Journal of Mathematics 1981

‎In the present investigation‎, ‎we give the best estimates for the norm of the pre-Schwarzian derivative $ T_{f}(z)=dfrac{f^{''}(z)}{f^{'}(z)} $ for bi-starlike functions and a new subclass of bi-univalent functions of order $ alpha $‎, ‎where‎ ‎$Vert T_{f} Vert= sup_{|z|

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