Temat: Univalent functions - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On the coefficient bodies of meromorphic univalent functions omitting a disc
Autorzy:: Tammi, Olli
Powiązania:: https://bibliotekanauki.pl/articles/1207924.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: coefficient bodies
univalent functions
Opis:: Let S(b) be the class of bounded normalized univalent functions and Σ(b) the class of normalized univalent meromorphic functions omitting a disc with radius b. The close connection between these classes allows shifting the coefficient body information from the former to the latter. The first non-trivial body can be determined in Σ(b) as well as the next one in the real subclass $Σ_{R}(b)$.
Źródło:: Annales Polonici Mathematici; 2000, 75, 1; 47-58
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On uniformly convex functions
Autorzy:: Goodman, A.
Powiązania:: https://bibliotekanauki.pl/articles/1312377.pdf
Data publikacji:: 1991
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: univalent functions
convex functions
coefficient bounds
Opis:: We introduce a new class of normalized functions regular and univalent in the unit disk. These functions, called uniformly convex functions, are defined by a purely geometric property. We obtain a few theorems about this new class and we point out a number of open problems.
Źródło:: Annales Polonici Mathematici; 1991-1992, 56, 1; 87-92
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Coefficient bounds for certain classes of analytic functions
Autorzy:: Juneja, O.
Ponnusamy, S.
Rajasekaran, S.
Powiązania:: https://bibliotekanauki.pl/articles/1311385.pdf
Data publikacji:: 1995
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: subordination
meromorphic univalent and starlike functions
Opis:: We determine coefficient estimates for α-spiral functions of order ϱ with respect to N-symmetric points (|α| = π/2, 0 ≤ ϱ = 1$ and N is a positive integer). Sharp coefficient bounds are also obtained for functions of the form $f(z)^{-t}$, where t is a positive integer and f(z) is an α-spiral function of order ϱ. Using this we deduce coefficient estimates for inverses of univalent α-spiral and meromorphic univalent α-spiral functions with vanishing early coefficients.
Źródło:: Annales Polonici Mathematici; 1995, 62, 3; 231-244
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Univalent functions with logarithmic restrictions
Autorzy:: Grinshpan, A.
Powiązania:: https://bibliotekanauki.pl/articles/1312531.pdf
Data publikacji:: 1991
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: univalent functions
logarithmic restrictions
Grunsky operator
quasiconformal extension
exponentiation technique
functions without common values
homeomorphic assembling
Opis:: It is known that univalence property of regular functions is better understood in terms of some restrictions of logarithmic type. Such restrictions are connected with natural stratifications of the studied classes of univalent functions. The stratification of the basic class S of functions regular and univalent in the unit disk by the Grunsky operator norm as well as the more general one of the class * of pairs of univalent functions without common values by the τ-norm (this concept is introduced here) are given in the paper. Moreover, some properties of univalent functions whose range has finite logarithmic area are considered. To apply the logarithmic restrictions a special exponentiation technique is used.
Źródło:: Annales Polonici Mathematici; 1991, 55, 1; 117-139
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: Starlikeness of functions satisfying a differential inequality
Autorzy:: Ali, Rosihan
Ponnusamy, S.
Singh, Vikramaditya
Powiązania:: https://bibliotekanauki.pl/articles/1311505.pdf
Data publikacji:: 1995
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: univalent
convex
starlike
close-to-convex functions
duality of Hadamard products
Opis:: In a recent paper Fournier and Ruscheweyh established a theorem related to a certain functional. We extend their result differently, and then use it to obtain a precise upper bound on α so that for f analytic in |z| < 1, f(0) = f'(0) - 1 = 0 and satisfying Re{zf''(z)} > -λ, the function f is starlike.
Źródło:: Annales Polonici Mathematici; 1995, 61, 2; 135-140
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

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