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Properties of certain special series of exponents with complex indices

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Literature cited

  1. A. F. Leont'ev, Series of Exponents [in Russian], Nauka, Moscow (1976).

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  2. L. Bieberbach, Analytic Continuation [Russian translation], Nauka, Moscow (1967).

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  3. E. C. Titchmarsh, Theory of Functions, Oxford Univ. Press, London (1958).

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  4. V. K. Dzyadyk, “On the conditions for the convergence of Dirichlet series on closed polygons,” Mat. Sb.,96, No. 4, 475–473 (1974).

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  5. Yu. I. Mel'nik, “On the uniqueness of expansion of regular functions in convex polygons in series of exponents,” Ukr. Mat. Zh.,34, No. 2, 217–219 (1982).

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  6. Yu. I. Mel'nik, “On the expansion of functions of class E in series of exponents in convex domains of the complex plane,” in: Methods of Approximation Theory and Their Applications [in Russian], Inst. Mat. Akad. Nauk Ukr.SSR, Kiev (1982), pp. 77–83.

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Authors and Affiliations

  1. Mathematics Institute, Academy of Sciences of the Ukrainian SSR, Kiev

    Yu. I. Mel'nik & E. K. Krutigolova

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  1. Yu. I. Mel'nik
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  2. E. K. Krutigolova
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 4, pp. 571–573, April, 1989.

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Mel'nik, Y.I., Krutigolova, E.K. Properties of certain special series of exponents with complex indices. Ukr Math J 41, 496–499 (1989). https://doi.org/10.1007/BF01060634

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