Zeros of successive derivatives of entire functions
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- by R. P. Boas Jr. and A. R. Reddy PDF
- Bull. Amer. Math. Soc. 79 (1973), 64-65
References
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1. M. Ålander, Sur le déplacement des zéros des fonctions entières par leur dérivation, Uppsala Thesis, 1914.
- J. D. Buckholtz and J. L. Frank, Whittaker constants, Proc. London Math. Soc. (3) 23 (1971), 348–370. MR 296297, DOI 10.1112/plms/s3-23.2.348
- P. Erdös and A. Rényi, On the number of zeros of successive derivatives of analytic functions, Acta Math. Acad. Sci. Hungar. 7 (1956), 125–144 (English, with Russian summary). MR 80155, DOI 10.1007/BF02028197
- 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 5. S. Takenaka, On the expansion of integral transcendental functions in generalized Taylor’s series, Proc. Physico-Math. Soc. Japan 14 (1932), 529-542.
Additional Information
- Journal: Bull. Amer. Math. Soc. 79 (1973), 64-65
- MSC (1970): Primary 30A64, 30A66; Secondary 30A08
- DOI: https://doi.org/10.1090/S0002-9904-1973-13093-9
- MathSciNet review: 0310246