Coefficients of bounded nonvanishing functions
نویسندگان
چکیده
منابع مشابه
Bounded Nonvanishing Functions and Bateman Functions
We consider the family B̃ of bounded nonvanishing analytic functions f(z) = a0 + a1 z + a2 z 2 + · · · in the unit disk. The coefficient problem had been extensively investigated (see e. g. [2], [13], [14], [16], [17], [18], [20]), and it is known that |an| ≤ 2 e for n = 1, 2, 3, and 4. That this inequality may hold for n ∈ IN, is known as the Krzyż conjecture. It turns out that for f ∈ B̃ with a...
متن کاملOn Nonvanishing Univalent Functions with Real Coefficients*
S O u {1} is a compact subset of A. Duren and Schober had been interested in extreme points and support points of S o. Recall that a support point of a family F is a function which maximizes the real part of some continuous linear functional, that is not constant over F. We shall give a characterization of the extreme points and support points of the subfamily So(R ) of nonvanishing univalent f...
متن کاملNonvanishing Univalent Functions*
The class S of functions g(z) = z + c 2 z 2 + c 3 z 3 + ... analytic and univalent in the unit disk Izr < 1 has been thoroughly studied, and its properties are well known. Our purpose is to investigate another class of functions which, by contrast, seems to have been rather neglected. This is the class S o of functions f ( z ) = 1 + a 1 z + a 2 z Z + . . , analytic, univalent, and nonvanishing ...
متن کاملNonvanishing of Kronecker Coefficients for Rectangular Shapes
We prove that for any partition (λ1, . . . , λd2) of size dm there exists k ≥ 1 such that the tensor square of the irreducible representation of the symmetric group Skdm with respect to the rectangular partition (km, . . . , km) contains the irreducible representation corresponding to the stretched partition (kλ1, . . . , kλd2). We also prove a related approximate version of this statement in w...
متن کاملInitial coefficients of starlike functions with real coefficients
The sharp bounds for the third and fourth coefficients of Ma-Minda starlike functions having fixed second coefficient are determined. These results are proved by using certain constraint coefficient problem for functions with positive real part whose coefficients are real and the first coefficient is kept fixed. Analogous results are obtained for a general class of close-to-convex 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: Indagationes Mathematicae
سال: 1993
ISSN: 0019-3577
DOI: 10.1016/0019-3577(93)90017-s