journal article
Jan 01, 1978
On Iversen's theorem for meromorphic functions with few poles
Topics
No keywords indexed for this article. Browse by subject →
References
15
[1]
Anderson, J. M. &Clunie, J., Slowly growing integral and meromorphic functions.Comment. Math. Helv., 40 (1966), 267–280.
10.1007/bf02564374
[2]
Barry, P. D., The minimum modulus of small integral and subharmonic functions.Proc. London Math. Soc., 12 (1962), 445–495.
10.1112/plms/s3-12.1.445
[3]
Barth, K. F., Brannan D. A. & Hayman, W. K., The growth of plane harmonic functions along an asymptotic path. To appear inProc. London Math. Soc.
[4]
Collingwood, E. F., Sur les valeurs exceptionelles des fonctions entières d'ordre fini.C.R. Acad. Sci. Paris, 179 (1924), 1125–1127.
[5]
Gol'dberg, A. A. &Ostrovskii, I. V.,The distribution of values of meromorphic functions. (Russian.) Izdat. Nauka, Moscow, 1970.
[6]
Hayman, W. K.,Multivalent functions. Cambridge University Press, 1958.
[7]
—,Meromorphic functions. Clarendon Press, Oxford 1964.
[8]
Hayman, W. K.,Research problems in function theory. Athlone Press of the University of London, 1967).
[9]
Heins, M. H., Entire functions with bounded minimum modulus; subharmonic function analogues.Ann. of Math. (2), 49 (1948), 200–213.
10.2307/1969122
[10]
Iversen, F., Recherches sur les fonctions inverses des fonctions méromorphes. Thèse de Helsingfors 1914.
[11]
Laurent-Schwarz, H., Exemple d'une fonction méromorphe ayant des valeurs deficientes non-asymptotiques.C.R. Acad. Sci. Paris, 212 (1941), 382–384.
[12]
Nevanlinna, R.,Eindeutige analytische Funktionen. Springer, Berlin 1936.
10.1007/978-3-662-41799-7
[13]
Talpur, M. N. M., On the growth of subharmonic functions on asymptotic paths.Proc. London Math. Soc. (3), 32 (1976), 193–198.
10.1112/plms/s3-32.2.193
[14]
Ter-Israelyan, L. A., Meromorphic functions of zero order with non-asymptotic deficient values. (Russian.)Mat. Zam., 13 (1973), 195–206.
[15]
Valiron, G.,Lectures on the general theory of integral functions. Chelsea, New York 1949, pp. 41 and 45.
Metrics
16
Citations
15
References
Details
- Published
- Jan 01, 1978
- Vol/Issue
- 141
- Pages
- 115-145
Authors
Cite This Article
W. K. Hayman (1978). On Iversen's theorem for meromorphic functions with few poles. Acta Mathematica, 141, 115-145. https://doi.org/10.1007/bf02545745
Related
You May Also Like
Sur les fonctions convexes et les inégalités entre les valeurs moyennes
J. L. W. V. Jensen · 1906
1,371 citations
Wave breaking for nonlinear nonlocal shallow water equations
Adrian Constantin, Joachim Escher · 1998
1,200 citations