Skip to main content
Log in

Uniqueness theorems for rational, algebraic, and algebroid functions

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

A number of pointsA, for which one must define the sets of simpleA-points to determine a rational function, a polynomial, and an algebraic or algebroid function uniquely, is obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. A. Goldberg and V. A. Pyana, “The uniqueness theorems for algebraic functions,”Entire and Subharmonic Functions. Advances in Soviet Mathematics,11, 119–204 (1992).

    Google Scholar 

  2. A. A. Gol'dberg and I. V. Ostrovskii,Distribution of Values of Meromorphic Functions [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  3. H. Seiberg, “Über die Wertverteilung der Algebroiden Funktionen,”Math. Z.,31, No. 5, 709–729 (1930).

    Google Scholar 

  4. V. P. Petrenko,Entire Curves [in Russian], Vyshcha Shkola, Khar'kov (1984).

    Google Scholar 

  5. He Yuzan and Gao Shi-an, “On algebroid functions taking the same values at the same points,”Kodai Math. J.,9, No. 2, 256–265 (1986).

    Google Scholar 

  6. H. S. Gopalakrishna and S. S. Bhoosnurmath, “Uniqueness theorems for meromorphic functions,”Math. Scand.,39, No. 1, 125–130 (1976).

    Google Scholar 

  7. W. K. Hayman,Meromorphic Functions [Russian translation], Mir, Moscow (1966).

    Google Scholar 

  8. King-lai Hiong, “Un problème d'unicité relatif aux fonctions méromorphes,”Sci. Sinica,12, No. 6, 743–750 (1963).

    Google Scholar 

  9. Yang Le, “Multiple values of meromorphic functions and their combinations,”Acta Math. Sinica,14, No. 3, 428–437 (1964) [English translation:Chin. Math.,5, No. 3, 460–470 (1964)].

    Google Scholar 

  10. H. Ueda, “Unicity theorems for meromorphic or entire functions,”Kodai Math. J.,3, No. 3, 457–471 (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 3, pp. 212–226, March, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gol'dberg, A.A., P'yana, V.A. Uniqueness theorems for rational, algebraic, and algebroid functions. Ukr Math J 46, 219–235 (1994). https://doi.org/10.1007/BF01062236

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01062236

Keywords

Navigation