A Class of Multivalent Functions with Assigned Zeros
نویسندگان
چکیده
منابع مشابه
Typically-real Functions with Assigned Zeros
is said to be typically-real of order p, if in (1.1) the coefficients bn are all real and if either (I) f(z) is regular in |a| =S1 and 3/(ei9) changes sign 2p times as z = eie traverses the boundary of the unit circle, or (II) f(z) is regular in | z\ < 1 and if there is a p < 1 such that for each r in p<r<l, $f(reie) changes sign 2p times as z = reie traverses the circle \z\ =r. This set of fun...
متن کاملSome properties for a class of meromorphically multivalent functions with linear operator
Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we define a subclass $mathcal {T}_{p}(a, c, gamma, lambda; h)$ of meromorphically multivalent functions. The main object of this paper is to investigate some important properties for the class. We also derive many results for the Hadamard roducts of functions belong...
متن کاملOn a class of analytic multivalent functions
We use a property of the Bernardi operator in the theory of the Briot–Bouquet differential subordinations to prove several theorems for the classes VpkðH;A;BÞ of multivalent analytic functions defined by using the Dziok–Srivastava operator H. Some of these results we obtain applying the convolution property due to Rusheweyh. We take advantage of the Miller–Mocanu lemma to improve the earlier re...
متن کاملsome properties for a class of meromorphically multivalent functions with linear operator
making use of a linear operator, which is defined here by means of the hadamard product (or convolution), we define a subclass $mathcal {t}_{p}(a, c, gamma, lambda; h)$ of meromorphically multivalent functions. the main object of this paper is to investigate some important properties for the class. we also derive many results for the hadamard roducts of functions belong...
متن کاملProperties of multivalent functions associated with certain integral operator
Let A(p) denote the class of functions which are analytic in the open unit disk U. By making use of certain integral operator,we obtain some interesting properties of multivalent analytic functions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1952
ISSN: 0002-9939
DOI: 10.2307/2032185