On the order and lower order of entire functions with radially distributed zeros
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- by Norbert Steinmetz PDF
- Proc. Amer. Math. Soc. 87 (1983), 449-452 Request permission
Abstract:
It is shown that the order and lower order of an entire function with zeros restricted to $k$ distinct rays differ at most by $k$, if either $k \leqslant 2$ or if the zeros or the rays are regularly distributed.References
- Faruk F. Abi-Khuzam, The order of entire functions with radially distributed zeros, Proc. Amer. Math. Soc. 82 (1981), no. 1, 71–75. MR 603604, DOI 10.1090/S0002-9939-1981-0603604-4 A. Edrei and W. H. J. Fuchs, On the maximum number of deficient values of certain classes of functions, Air Force Technical Report, AFOSR TN 60-402.
- Tadashi Kobayashi, On the lower order of an entire function, K\B{o}dai Math. Sem. Rep. 27 (1976), no. 4, 484–495. MR 422614
- Joseph Miles, On entire functions of infinite order with radially distributed zeros, Pacific J. Math. 81 (1979), no. 1, 131–157. MR 543739 F. Nevanlinna, Bemerkungen zur Theorie der ganzen Funktionen endlicher Ordnung, Soc. Sci. Fenn. Comment. Phys.-Math. 4 (1923). L. Volkmann, Abschätzungen für die untere Ordnung bei meromorphen Funktionen, Preprint Nr. 44 (1977), FB Mathematik, FU Berlin.
- Hermann Weyl, Über die Gleichverteilung von Zahlen mod. Eins, Math. Ann. 77 (1916), no. 3, 313–352 (German). MR 1511862, DOI 10.1007/BF01475864
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 87 (1983), 449-452
- MSC: Primary 30D15; Secondary 30D35
- DOI: https://doi.org/10.1090/S0002-9939-1983-0684637-0
- MathSciNet review: 684637