Skip to main content
SpringerLink
Log in

Analytic solutions of the equationϕ (z) = h(z, ϕ [f(z)] with right side contracting

  • Research Papers
  • Published:
aequationes mathematicae Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Dieudonné, J.,Foundations of Modern Ananlysis (Academic Press, New York—London 1960).

    Google Scholar 

  2. Hervé, M.,Several Complex Variables, Local Theory (Tata Inst. of Fundamental Research, Bombay; Oxford University Press, London 1963).

    Google Scholar 

  3. Koenigs, G.,Recherches sur les intégrales de certaines équations fonctionelles, Ann. Sci. Ecole Norm. Sup. (3)1, Supplement, 3–41 (1884).

    Google Scholar 

  4. Montel, P.,Lecons sur les recurrences et leurs applications, Chapter 4 (Gauthier-Villars, 1957).

  5. Ostrowski, A. M.,Solution of Equations and Systems of Equations (Academic Press, New York—London 1960).

    Google Scholar 

  6. Siegel, C.L.,Iteration of analytic functions, Ann. of Math. (2)43, 607–612 (1942).

    Google Scholar 

  7. Smajdor, A. andSmajdor, W.,On the Existence and Uniqueness of Analytic Solutions of a Linear Functional Equation, Math. Z.98, 235–242 (1967).

    Google Scholar 

  8. Smajdor, W.,The Existence and Uniqueness of Analytic Solutions of the Functional Equation ø(z − h(z, ø[f(z)]), Ann. Polon. Math.19, 37–45 (1967).

    Google Scholar 

  9. Smajdor, W.,Local Analytic Solutions of the Functional Equation ø(z) = h(z, ø[f(z)]) in Multi-Dimensional Spaces, Aequationes Math. 1, 20–36 (1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Math. Inst. of the Polish Acad. Sce., Katowice, Poland

    W. Smajdor

Authors
  1. W. Smajdor
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to A. M. Ostrowski on the occasion of his 75th birthday

Rights and permissions

Reprints and permissions

About this article

Cite this article

Smajdor, W. Analytic solutions of the equationϕ (z) = h(z, ϕ [f(z)] with right side contracting. Aeq. Math. 2, 30–38 (1969). https://doi.org/10.1007/BF01833488

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01833488

Keywords

Search

Navigation