# On coefficient inequalities in the Carathéodory class of functions

Annales Polonici Mathematici (2000)

- Volume: 75, Issue: 1, page 59-67
- ISSN: 0066-2216

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topLecko, Adam. "On coefficient inequalities in the Carathéodory class of functions." Annales Polonici Mathematici 75.1 (2000): 59-67. <http://eudml.org/doc/208384>.

@article{Lecko2000,

abstract = {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.},

author = {Lecko, Adam},

journal = {Annales Polonici Mathematici},

keywords = {Carathéodory class; coefficient inequalities},

language = {eng},

number = {1},

pages = {59-67},

title = {On coefficient inequalities in the Carathéodory class of functions},

url = {http://eudml.org/doc/208384},

volume = {75},

year = {2000},

}

TY - JOUR

AU - Lecko, Adam

TI - On coefficient inequalities in the Carathéodory class of functions

JO - Annales Polonici Mathematici

PY - 2000

VL - 75

IS - 1

SP - 59

EP - 67

AB - 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.

LA - eng

KW - Carathéodory class; coefficient inequalities

UR - http://eudml.org/doc/208384

ER -

## References

top- [1] C. Carathéodory, Über den Variabilitätsbereich der Koeffizienten von Potenzreihen, die gegebene Werte nicht annehmen, Math. Ann. 64 (1907), 95-115. Zbl38.0448.01
- [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. Zbl0747.30007
- [4] M. S. Robertson, On the theory of univalent functions, Ann. of Math. 37 (1936), 374-408. Zbl62.0373.05
- [5] M. S. Robertson, Univalent functions starlike with respect to a boundary point, J. Math. Anal. Appl. 81 (1981), 327-345. Zbl0472.30015

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