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Literature cited
H. R. Pitt, Tauberian Theorems, Oxford Univ. Press, London (1958).
V. I. Mel'nik, “A Tauberian theorem on 'large exponents' for Borel's method,” Mat. Sb.,68, No. 1, 17–25 (1965).
V. I. Mel'nik, “A Tauberian theorem for Borel's summation method,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 11, 85–92 (1971).
G. H. Hardy, Divergent Series, Oxford Univ. Press (1949).
M. A. Subkhankulov, “Tauberian Theorems with Remainder [in Russian], Nauka, Moscow (1976).
Soni Kusum, “Slowly varying functions and generalized logarithmic summability,” J. Math. Anal. Appl,53, No. 3, 692–703 (1976).
G. A. Mikhalin, “Tauberian theorems for (J, pn) methods of summation,” Ukr. Mat. Zh.,29, No. 6, 763–770 (1977).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 31, No. 1, pp. 32–41, January–February, 1979.
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Mel'nik, V.I. Inverse theorems for laplace-type transforms. Ukr Math J 31, 23–31 (1979). https://doi.org/10.1007/BF01086438
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DOI: https://doi.org/10.1007/BF01086438