On the zeros of the derivatives of some entire functions
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- by Robert M. McLeod
- Trans. Amer. Math. Soc. 91 (1959), 354-367
- DOI: https://doi.org/10.1090/S0002-9947-1959-0107708-7
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References
- Tord Ganelius, Sequences of analytic functions and their zeros, Ark. Mat. 3 (1954), 1–50. MR 62826, DOI 10.1007/BF02589280
- W. K. Hayman, A generalisation of Stirling’s formula, J. Reine Angew. Math. 196 (1956), 67–95. MR 80749, DOI 10.1515/crll.1956.196.67
- Alan F. Kay, Distribution of zeros of sequences of polynomials of unbounded degree, Proc. Amer. Math. Soc. 6 (1955), 571–582. MR 72207, DOI 10.1090/S0002-9939-1955-0072207-X
- Leo Moser and Max Wyman, Asymptotic expansions, Canadian J. Math. 8 (1956), 225–233. MR 78488, DOI 10.4153/CJM-1956-026-x
- Leo Moser and Max Wyman, Asymptotic expansions. II, Canadian J. Math. 9 (1957), 194–209. MR 86921, DOI 10.4153/CJM-1957-023-3
- Georg Pólya, Über die Nullstellen sukzessiver Derivierten, Math. Z. 12 (1922), no. 1, 36–60 (German). MR 1544505, DOI 10.1007/BF01482068
- G. Polya, On the zeros of the derivatives of a function and its analytic character, Bull. Amer. Math. Soc. 49 (1943), 178–191. MR 7781, DOI 10.1090/S0002-9904-1943-07853-6 E. C. Titchmarsh, Theory of functions, 2d ed., Oxford, 1939. G. Valiron, Theory of integral functions, New York, 1949.
- E. B. Van Vleck, On the location of roots of polynomials and entire functions, Bull. Amer. Math. Soc. 35 (1929), no. 5, 643–683. MR 1561789, DOI 10.1090/S0002-9904-1929-04794-3
Bibliographic Information
- © Copyright 1959 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 91 (1959), 354-367
- MSC: Primary 30.00
- DOI: https://doi.org/10.1090/S0002-9947-1959-0107708-7
- MathSciNet review: 0107708