Necessary and sufficient conditions for Carlson’s theorem for entire functions
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- by R. C. Buck PDF
- Proc. Amer. Math. Soc. 42 (1974), 636-638 Request permission
References
- Ludwig Bieberbach, Analytische Fortsetzung, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Heft 3, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1955 (German). MR 0068621
- R. Creighton Buck, An extension of Carlson’s theorem, Duke Math. J. 13 (1946), 345–349. MR 18740
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- G. H. Hardy, On two theorems of F. Carlson and S. Wigert, Acta Math. 42 (1920), no. 1, 327–339. MR 1555171, DOI 10.1007/BF02404414 A. Ostrowski, On representation of analytic functions by power series, J. London Math. Soc. 1 (1926), 251-263.
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- Paul Malliavin and L. A. Rubel, On small entire functions of exponential type with given zeros, Bull. Soc. Math. France 89 (1961), 175–206. MR 141778
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 42 (1974), 636-638
- MSC: Primary 30A66
- DOI: https://doi.org/10.1090/S0002-9939-1974-0335804-1
- MathSciNet review: 0335804