On coefficient inequalities in the Carathéodory class of functions

• Autorzy: Adam Lecko
• Języki publikacji: EN

Abstrakty

EN

Some inequalities are proved for coefficients of functions in the class P(α), where α ∈ [0,1), of functions with real part greater than α. In particular, new inequalities for coefficients in the Carathéodory class P(0) are given.

Słowa kluczowe

EN

Carathéodory class; coefficient inequalities

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2000
• Tom: 75
• Numer: 1
• Strony: 59-67

Daty

wydano

2000

otrzymano

1999-09-27

poprawiono

2000-02-21

Twórcy

autor

Adam Lecko

• Department of Mathematics, Technical University of Rzeszów, W. Pola 2, 35-959 Rzeszów, Poland

Bibliografia

• [1] C. Carathéodory, Über den Variabilitätsbereich der Koeffizienten von Potenzreihen, die gegebene Werte nicht annehmen, Math. Ann. 64 (1907), 95-115.
• [2] A. W. Goodman, Univalent Functions, Mariner, Tampa, FL 1983.
• [3] Z. J. Jakubowski and J. Stankiewicz, On some classes of functions with the special normalizations, Folia Sci. Univ. Tech. Res. 73 (1990), 29-48.
• [4] M. S. Robertson, On the theory of univalent functions, Ann. of Math. 37 (1936), 374-408.
• [5] M. S. Robertson, Univalent functions starlike with respect to a boundary point, J. Math. Anal. Appl. 81 (1981), 327-345.