منابع مشابه
On Some Classes of Multivalent Starlike Functions
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...
متن کاملSome properties of meromorphically multivalent functions
* Correspondence: [email protected] Department of Mathematics, Yangzhou University, Yangzhou, 225002, PR China Full list of author information is available at the end of the article Abstract By using the method of differential subordinations, we derive certain properties of meromorphically multivalent functions. 2010 Mathematics Subject Classification: 30C45; 30C55.
متن کاملSome Properties of Subclasses of Multivalent Functions
and Applied Analysis 3 On the other hand, for a function f defined by 1.6 and in the class C p, α , Lemma 1.2 yields ap 1 ≤ p ( p − α ( p 1 )( p 1 − α . 1.10 In view of the coefficient inequalities 1.9 and 1.10 , it would seem to be natural to introduce and study here two further classes T ∗ ε p, α and Cε p, α of analytic and p-valent functions, where T ∗ ε p, α denotes the subclass of T ∗ p, α...
متن کاملSome Criteria for Strongly Starlike Multivalent Functions
By using the method of differential subordination, we obtain some sufficient conditions for strongly p-valent starlikeness.
متن کاملOn Certain Multivalent Functions
Let * (p,α) be the class of functions f (z) which are analytic and p-valently starlike of order α in the open unit disk E. The object of the present paper is to derive an interesting condition for f (z) to be in the class * (p,α). This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution , and reproduction in any ...
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 1952
ISSN: 0386-5991
DOI: 10.2996/kmj/1138843223