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Generalization of the idea of asymptotic periods of entire functions

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Literature Cited

  1. J.M. Whittaker, Interpolatory Function Theory, Cambridge (1935).

  2. A.O. Gel'fond, Linear Differential Equations of Infinite Order with Constant Coefficients and the Asymptotic Behavior of Periods of Entire Functions, Trudy Matem. In-ta im. V. A. Steklova, Akad. Nauk SSSR, Vol. 37 (1951).

  3. A.G. Naftalevich, Systems of Two Linear Difference Equations with Constant Coefficients, Matem. Sb.,46, No. 4, 421–432 (1958).

    Google Scholar 

  4. A.O. Gel'fond and A.F. Leont'ev, A Generalized Fourier Series, Matem. Sb.,29, No. 3, 477–500 (1951).

    Google Scholar 

  5. A.F. Leont'ev, Series of Dirichlet Polynomials and Their Generalizations, Trudy Matem. In-ta im. V.A. Steklova, Akad. Nauk SSSR, Vol. 39 (1951).

  6. Yu. N. Frolov, Inhomogeneous Equations of Infinite Order in Generalized Derivatives, Vest. Mosk. Gos. Un-ta, Matematika, No. 4, 3–12 (1960).

    Google Scholar 

  7. A.O. Gel'fond, The Calculus of Finite Differences [in Russian], Fizmatgiz, Moscow (1959).

    Google Scholar 

  8. A.F. Leont'ev, The Representation of Entire Functions by Sequences of Linear Aggregates, Matem. Sb.,33, No. 2, 453–462 (1963).

    Google Scholar 

  9. E. Titchmarsh, The Theory of Functions [Russian translation], Moscow-Leningrad (1951).

  10. V.P. Gromov, Series in the System {f(λnz)}, Dokl. Akad. Nauk SSSR,144, No. 1, 23–26 (1962).

    Google Scholar 

  11. A.F. Leont'ev, A Generalization of Liouville's Theorem, Matem. Sb., 31, 201–208 (1954).

    Google Scholar 

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Translated from Sibirskii Matematicheskii Zhurnal, Vol.9, No.3, pp.592–606, May–June, 1968.

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Mirolyubov, A.A. Generalization of the idea of asymptotic periods of entire functions. Sib Math J 9, 445–455 (1968). https://doi.org/10.1007/BF01040907

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  • DOI: https://doi.org/10.1007/BF01040907

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