Acta mathematica scientia, Series A >
A Note on Hayman's Problem and the Sharing Value
Let f(z) be a nonconstant entire function, n be a positive integer grea ter than one, and a be a nonzero finite complex number. If f^n and (f^n)^(k) share a, then nf′=ωf, where ω is the root of equation t^k=1.
LIN Wei-Chuan , HUANG Bin . A Note on Hayman's Problem and the Sharing Value[J]. Acta mathematica scientia, Series A, 2004 , 24(4) : 449 -453 . DOI: 30D35； 30D45
[1]Hayman W. Research Problems in Function Theory. London： Athlone Press Universi ty，1967
[2]陈怀惠，方明亮. 关于f^nf′的值分布.中国科学(A辑)，1995,25(2):121-127
[3]Zalcman L. On some problems of Hayman. Preprint(BarIlan University), 1995
[4]王跃飞，方明亮. 涉及零点重数的亚纯函数的值分布. 数学学报，1998,41 (4):743-748
[5]Mues E, Steinmetz N. Meromorphe funktionen die mit ihrer ableitung z wei were teilen. Resultate Math,1983,6:48-52
[6]Chen H. Yosida functions and Picard values of integral functions and thei r derivatives. Bull Austral Math Soc, 1996, 54(2):373-381
[7]Gundersen G,Yang L. Entire functions that share one value with one or two of their derivatives. J of Math Anal And Appl, 1998, 223: 88-95
[8]Yang L Z. Solution of a differential equation and its applications. Koda i Math J, 1999, 22(3): 458-464
[9]仪洪勋, 杨重骏. 亚纯函数唯一性理论. 北京: 科学出版社, 1995
[10]林伟川, 黄斌. 涉及零点分布的整函数的唯一性. 数学理论与应用, 2002,22(2): 125-128
/
| 〈 |
|
〉 |