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Condition for an entire function to be representable by a series of generalized exponential functions

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Literature cited

  1. A. F. Leont'ev and Yu. N. Frolov, “On conditions for representability of entire functions by certain general series,” Izv. Akad. Nauk SSSR, Ser. Mat.,42, No. 4, 763–772 (1978).

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  2. V. I. Shevtsov, “On representation of entire functions by series ∑ ∞0 a n f (λ n z),” Mat. Zametki,4, No. 5, 579–588 (1968).

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  3. A. I. Gilem'yanov, “On representation of functions by generalized series of exponential functions,” All-Union symposium on theory of approximation of functions in the complex domain. Abstracts of papers. Ufa (1980), pp. 35–36.

  4. A. F. Leont'ev, Generalizations of Series of Exponential Functions [in Russian], Nauka, Moscow (1981).

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Authors and Affiliations

  1. Institute of Land Management Engineers, Moscow

    Yu. I. Frolov

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  1. Yu. I. Frolov
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Translated from Matematicheskie Zametki, Vol. 34, No. 3, pp. 367–374, September, 1983.

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Frolov, Y.I. Condition for an entire function to be representable by a series of generalized exponential functions. Mathematical Notes of the Academy of Sciences of the USSR 34, 665–669 (1983). https://doi.org/10.1007/BF01140346

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  • DOI: https://doi.org/10.1007/BF01140346

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