Skip to main content
Log in

Algebraic independence of values of a subclass of entire functions

  • Published:
Mathematical Notes Aims and scope Submit manuscript

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.

Literature cited

  1. A. B. Shidlovskii, “A criterion for the algebraic independence of values of a class of entire functions,” Izv. Akad. Nauk SSSR, Ser. Mat.,23, No. 1, 35–66 (1959).

    Google Scholar 

  2. A. B. Shidlovskii, Transcendental Numbers [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  3. V. Kh. Salikhov, “Formal solutions of linear differential equations and their application to the theory of transcendental numbers,” Tr. Mosk. Mat. Obshch.,51, 223–256 (1988).

    Google Scholar 

  4. V. Kh. Salikhov, “On the algebraic independence of values of hypergeometric E-functions,” Dokl. Akad. Nauk SSSR,307, No. 2, 284–287 (1989).

    Google Scholar 

  5. F. Beukers, W. D. Brownawell, and G. Heckman, “Siegel normality,” Ann. Math.,127, 279–308 (1988).

    Google Scholar 

  6. A. B. Shidlovskii, “Transcendence and algebraic independence of values of certain functions,” Tr. Mosk. Mat. Obshch.,8, 283–320 (1959).

    Google Scholar 

  7. V. A. Kulagin, “On the algebraic independence of values of certain hypergeometric functions,” Usp. Mat. Nauk,42, No. 2 (254), 233–234 (1987).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 51, No. 6, pp. 46–51, June, 1992.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kulagin, V.A. Algebraic independence of values of a subclass of entire functions. Math Notes 51, 561–565 (1992). https://doi.org/10.1007/BF01263299

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01263299

Keywords

Navigation