# Convex meromorphic mappings

Annales Polonici Mathematici (1994)

- Volume: 59, Issue: 3, page 275-291
- ISSN: 0066-2216

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topAlbert E. Livingston. "Convex meromorphic mappings." Annales Polonici Mathematici 59.3 (1994): 275-291. <http://eudml.org/doc/262315>.

@article{AlbertE1994,

abstract = {We study functions f(z) which are meromorphic and univalent in the unit disk with a simple pole at z = p, 0 < p < 1, and which map the unit disk onto a domain whose complement is either convex or is starlike with respect to a point w₀ ≠ 0.},

author = {Albert E. Livingston},

journal = {Annales Polonici Mathematici},

keywords = {convex; starlike; meromorphic},

language = {eng},

number = {3},

pages = {275-291},

title = {Convex meromorphic mappings},

url = {http://eudml.org/doc/262315},

volume = {59},

year = {1994},

}

TY - JOUR

AU - Albert E. Livingston

TI - Convex meromorphic mappings

JO - Annales Polonici Mathematici

PY - 1994

VL - 59

IS - 3

SP - 275

EP - 291

AB - We study functions f(z) which are meromorphic and univalent in the unit disk with a simple pole at z = p, 0 < p < 1, and which map the unit disk onto a domain whose complement is either convex or is starlike with respect to a point w₀ ≠ 0.

LA - eng

KW - convex; starlike; meromorphic

UR - http://eudml.org/doc/262315

ER -

## References

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- [7] J. Miller, Convex meromorphic mappings and related functions, Proc. Amer. Math. Soc. 25 (1970), 220-228.
- [8] J. Miller, Starlike meromorphic functions, Proc. Amer. Math. Soc. 31 (1972), 446-452. Zbl0235.30012
- [9] J. Miller, Convex and starlike meromorphic functions, Proc. Amer. Math. Soc. 80 (1980), 607-613. Zbl0451.30008
- [10] J. Pfaltzgraff and B. Pinchuk, A variational method for classes of meromorphic functions, J. Analyse Math. 24 (1971), 101-150. Zbl0247.30012
- [11] W. C. Royster, Convex meromorphic functions, in Mathematical Essays Dedicated to A. J. MacIntyre, Ohio Univ. Press, Athens, Ohio, 1970, 331-339. Zbl0211.09901
- [12] G. Schober, Univalent Functions - Selected Topics, Lecture Notes in Math. 478, Springer, Berlin, 1975. Zbl0306.30018

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