Bounded Fatou components of transcendental entire functions with order less than 1/2
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| 024 | 7 | 0 | |a 10.1007/s10114-015-3698-6 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-3698-6 | ||
| 245 | 0 | 0 | |a Bounded Fatou components of transcendental entire functions with order less than 1/2 |h [Elektronische Daten] |c [Cun Yang, Yu Li] |
| 520 | 3 | |a Let f be a transcendental entire function with order ρ < ½ and let σ be a sufficiently large constant. We prove that if there exists r 0 > 1 such that, for all r > r 0 and any small ɛ > 0, $$M(r^\sigma ,f) \geqslant M(r,f)^{\sigma + \varepsilon } ,$$ then every component of the Fatou set F(f) is bounded. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Transcendental entire function |2 nationallicence | |
| 690 | 7 | |a small growth |2 nationallicence | |
| 690 | 7 | |a Fatou component |2 nationallicence | |
| 690 | 7 | |a bounded |2 nationallicence | |
| 700 | 1 | |a Yang |D Cun |u Department of Mathematics and Computer Sciences, Dali University, 671003, Dali, P. R. China |4 aut | |
| 700 | 1 | |a Li |D Yu |u Department of Mathematics and Computer Sciences, Dali University, 671003, Dali, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/4(2015-04-01), 647-658 |x 1439-8516 |q 31:4<647 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-3698-6 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-3698-6 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Yang |D Cun |u Department of Mathematics and Computer Sciences, Dali University, 671003, Dali, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Li |D Yu |u Department of Mathematics and Computer Sciences, Dali University, 671003, Dali, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/4(2015-04-01), 647-658 |x 1439-8516 |q 31:4<647 |1 2015 |2 31 |o 10114 | ||