ACTA UNIVERSITATIS APULENSIS No 19/2009 CERTAIN CLASSES OF ANALYTIC FUNCTIONS OF COMPLEX ORDER
نویسندگان
چکیده
By making use of the Hadamard product, we define a new class of analytic functions of complex order. Coefficient inequalities, sufficient condition and an interesting subordination result are obtained. 2000 Mathematics Subject Classification: 30C45, 30C50.
منابع مشابه
ACTA UNIVERSITATIS APULENSIS No 19/2009 CERTAIN COEFFICIENT INEQUALITIES FOR SAKAGUCHI TYPE FUNCTIONS AND APPLICATIONS TO FRACTIONAL DERIVATIVE OPERATOR
In the present paper, sharp upper bounds of |a3 − μa2| for the functions f(z) = z+ a2z + a3z + ... belonging to a new subclass of Sakaguchi type functions are obtained. Also, application of our results for subclass of functions defined by convolution with a normalized analytic function are given. In particular, Fekete-Szegö inequalities for certain classes of functions defined through fractiona...
متن کاملACTA UNIVERSITATIS APULENSIS No 20/2009 CERTAIN CLASSES OF ANALYTIC FUNCTIONS DEFINED BY CONVOLUTION
Making use of a convolution structure, we introduce a new class of analytic functions defined in the open unit disc and investigate coefficient estimates, distortion bounds and the results on integral transform. Further we investigate the neighbourhood results and partial sums. 2000 Mathematics Subject Classification: 30C45.
متن کاملACTA UNIVERSITATIS APULENSIS No 14/2007 INCLUSION AND NEIGHBORHOOD PROPERTIES OF CERTAIN SUBCLASSES OF ANALYTIC, MULTIVALENT FUNCTIONS OF COMPLEX ORDER INVOLVING CONVOLUTION
In the present investigation, the authors prove several inclusion relations associated with the (n, δ)-neighborhoods of certain subclasses of p-valently analytic functions of complex order, which are introduced here by means of the Hadamard’s Convolution. Special cases of some of these inclusion relations are shown to yield many known results. 2000 Mathematics Subject Classification: Primary 30...
متن کاملACTA UNIVERSITATIS APULENSIS No 19/2009 SOME EXTENSIONS OF SUFFICIENT CONDITIONS FOR UNIVALENCE OF AN INTEGRAL OPERATOR ON THE CLASSES
In this paper, we consider the subclasses Tj , Tj,μ and Sj(p) (j = 2, 3, . . .), and generalize univalence conditions for integral operator Fα1,α2,...,αn,β of the analytic function f belonging to the classes T2, T2,μ and S(p). 2000 Mathematics Subject Classification: 30C45.
متن کاملACTA UNIVERSITATIS APULENSIS No 20/2009 UNIFORMLY STARLIKE AND CONVEX UNIVALENT FUNCTIONS BY USING CERTAIN INTEGRAL OPERATORS
An extension of k-uniformly starlike and convex functions are introduced by making use of an integral operator. Inclusion relations and coefficient bounds for these classes are determined and consequently, some known results are generalized. 2000 Mathematics Subject Classification: Primary 30C45; Secondary 30C50.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009