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@article{EMJ_2019_10_3_a0, author = {G. G. Braichev}, title = {On {Stolz's} theorem and its conversion}, journal = {Eurasian mathematical journal}, pages = {8--19}, publisher = {mathdoc}, volume = {10}, number = {3}, year = {2019}, language = {en}, url = {http://geodesic.mathdoc.fr/item/EMJ_2019_10_3_a0/} }
G. G. Braichev. On Stolz's theorem and its conversion. Eurasian mathematical journal, Tome 10 (2019) no. 3, pp. 8-19. http://geodesic.mathdoc.fr/item/EMJ_2019_10_3_a0/
[1] A. V. Abanin, Ultradifferentiable functions and ultradistributions, Nauka, M., 2007 (in Russian) | MR
[2] A. V. Abanin, V. V. Yudelevich, “On the conversion of Stolz's theorem”, Izv. VUZov. Sev. Kavk. Region. Est. Nauki, 2016, no. 2, 5–9 (in Russian) | MR
[3] M. Biernacki, J. Krzyz, “On the monotonicity of certain functionals in the theory of analytic functions”, Ann. Univ. M. Curie-Sklodowska, 2 (1995), 134–145 | MR
[4] G. G. Braichev, “Exact relationships between certain characteristics of growth for complex sequences”, Ufimsk. Mat. Zh., 5:4 (2013), 17–30 | MR
[5] G. G. Braichev, Introduction to the theory of growth of convex and entire functions, Prometei, M., 2005 (in Russian)
[6] H. Komatsu, “Ultradistributions I. Structure theorems and a charactersation”, J. Fac. Sci. Univ. Tokyo. Sec IA, Math., 20:1 (1973), 25–105 | MR | Zbl
[7] S. Mandelbrojt, Series adherentes, regularisation des suites, applications, Gauthier-Villars, Paris, 1952 | MR | Zbl
[8] C. Roumieu, “Sur quelques extansion de la notion de distribution”, Ann. Sci. Ecole Norm. Sup. III Ser., 77:1 (1960), 41–121 | MR | Zbl
[9] S. M. Shah, “Trigonometric series with quasi-monotone coefficients”, Proc. Amer. Math. Soc., 13 (1962), 266–273 | MR | Zbl
[10] O. Stolz, Vorlesungen über allgemeine Arithmetik: nach den Neuen Ansichten, Teubners, Leipzig, 1885, 173–175