# Estimations of the second coefficient of a univalent, bounded, symmetric and non-vanishing function by means of Loewner's parametric method

Annales Polonici Mathematici (1998)

- Volume: 68, Issue: 2, page 119-123
- ISSN: 0066-2216

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topJ. Śladkowska. "Estimations of the second coefficient of a univalent, bounded, symmetric and non-vanishing function by means of Loewner's parametric method." Annales Polonici Mathematici 68.2 (1998): 119-123. <http://eudml.org/doc/270334>.

@article{J1998,

abstract = {},

author = {J. Śladkowska},

journal = {Annales Polonici Mathematici},

keywords = {univalent function; Loewner differential equation; non-vanishing bounded functions},

language = {eng},

number = {2},

pages = {119-123},

title = {Estimations of the second coefficient of a univalent, bounded, symmetric and non-vanishing function by means of Loewner's parametric method},

url = {http://eudml.org/doc/270334},

volume = {68},

year = {1998},

}

TY - JOUR

AU - J. Śladkowska

TI - Estimations of the second coefficient of a univalent, bounded, symmetric and non-vanishing function by means of Loewner's parametric method

JO - Annales Polonici Mathematici

PY - 1998

VL - 68

IS - 2

SP - 119

EP - 123

AB -

LA - eng

KW - univalent function; Loewner differential equation; non-vanishing bounded functions

UR - http://eudml.org/doc/270334

ER -

## References

top- [1] P. Duren and G. Schober, Nonvanishing univalent functions, Math. Z. 170 (1980), 195-216. Zbl0411.30010
- [2] C. Horowitz, Coefficients of nonvanishing functions in ${H}^{\infty}$, Israel J. Math. 30 (1978), 285-291. Zbl0422.30011
- [3] J. Hummel, S. Scheinberg and L. Zalcman, A coefficient problem for bounded nonvanishing functions, J. Anal. Math. 31 (1977), 169-190. Zbl0346.30013
- [4] J. Krzyż, Coefficient problem for bounded nonvanishing functions, Ann. Polon. Math. 70 (1968), 314.
- [5] D. V. Prokhorov and J. Szynal, Coefficient estimates for bounded nonvanishing functions, Bull. Acad. Polon. Sci. Sér. Sci. Math. 29 (1981), 223-230. Zbl0469.30016
- [6] J. Śladkowska, On univalent, bounded, non-vanishing and symmetric functions in the unit disk, Ann. Polon. Math. 64 (1996), 291-299. Zbl0860.30021
- [7] O. Tammi, Extremum Problems for Bounded Univalent Functions, Lecture Notes in Math. 646, Springer, 1978. Zbl0375.30006

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