Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Local analytic solutions of the functional equationϕ(z)=h(z, ϕ [f(z)]) in multidimensional spaces

  • 61 Accesses

  • 14 Citations

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

References

  1. [1]

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

  2. [2]

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

  3. [3]

    Kuczma, M.,On the Schröder Equation, Rozprawy Mat.34 (P.W.N., Warszawa 1963).

  4. [4]

    Kuczma, M.,Functional Equations in a Single Variable, Monografie Matematyczne 46 (P.W.N., Warszawa 1968).

  5. [5]

    Ostrowski, A. M.,Über Normen von Matrizen, Math. Z.63, 2–18 (1955).

  6. [6]

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

  7. [7]

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

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Smajdor, W. Local analytic solutions of the functional equationϕ(z)=h(z, ϕ [f(z)]) in multidimensional spaces. Aeq. Math. 1, 20–36 (1968). https://doi.org/10.1007/BF01817555

Download citation

Keywords

  • Multidimensional Space
  • Local Analytic Solution