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Literature Cited
E. Borel, Lecons sur les Séries Divergentes, Paris (1928).
G. H. Hardy, Divergent Series, Oxford Univ. Press (1964).
R. G. Cooke, Infinite Matrices and Sequence Spaces, Macmillan, London (1950).
V. G. Chelidze, “Borel summation of double series,” Soobshch. Akad. Nauk Gruz. SSR,8, No. 8, 5–11 (1947).
V. A. Berekashvili, “Borel summation of double series,” Soobshch. Akad. Nauk Gruz. SSR,14, Nos. 4, 5, 193–195 (1953).
A. A. Melentsov and É. B. Muraev, “On the theory of summation of double series by the methods of Borel,” Dokl. Akad. Nauk SSSR,130, No. 6, 1193–1195 (1960).
É. B. Muraev, “On the theory of summation of double series by the methods of Euler,” Sib. Mat. Zh.,2, No. 6, 884–890 (1961).
V. K. Ivanov, “A characteristic of the growth of an entire function of two variables and its application to summation of double power series,” Mat. Sb.,47, No. 1, 131–140 (1959).
L. A. Aizenberg and V. M. Trutnev, “On a Borel method of summation of n-fold power series,” Sib. Mat. Zh.,12, No. 6, 1398–1404 (1971).
L. I. Ronkin, Introduction to the Theory of Entire Functions of Several Variables [in Russian], Nauka, Moscow (1971).
B. A. Fuks, Theory of Analytic Functions of Several Complex Variables, Amer. Math. Soc. (1965).
A. I. Markushevich, Theory of Analytic Functions [in Russian], Gostekhizdat, Moscow-Leningrad (1950).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 19, No. 6, pp. 1332–1340, November–December, 1978.
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Muraev, É.B. Borel summation of n-fold series and entire functions associated with them. Sib Math J 19, 937–943 (1978). https://doi.org/10.1007/BF00972799
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DOI: https://doi.org/10.1007/BF00972799