A normal criterion concerning zero numbers

被引：0

作者：

Sun, Chengxiong ^{[1
]}

机构：

[1] Sch Math, Inst Math, Kunming, Yunnan, Peoples R China

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 01期

关键词：

Meromorphic function; Normal family; Shared value; NORMAL-FAMILIES; MEROMORPHIC FUNCTIONS;

D O I：

10.1007/s12215-021-00636-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let n >= 4 be a positive integer, F be a family of meromorphic functions in D and let a(z)(not equivalent to 0), b(z) be two holomorphic functions in D. If, for any function f is an element of F, (1) f (z) not equal infinity when a(z) = 0, (2) f'(z) - a(z)f(n)(z) - b(z) has at most one zero in D, then F is normal in D.

引用

页码：515 / 523

页数：9

共 50 条

[21] CONCERNING MISPRINTS IN PAPER ON MULTIPLICITY OF WAVE NUMBERS OF NORMAL WAVES IN LAMINATED MEDIA
KRASNUSH.PE
FEDOROV, EN
RADIOTEKHNIKA I ELEKTRONIKA, 1973, 18 (03): : 664 - 664
[22] Non-normal numbers: Full Hausdorff dimensionality vs zero dimensionality
Albeverio, Sergio
Garko, Iryna
Ibragim, Muslem
Torbin, Grygoriy
BULLETIN DES SCIENCES MATHEMATIQUES, 2017, 141 (02): : 1 - 19
[23] Concerning the form numbers
Thum, A
Bautz, W
DEUTSCHE MEDIZINISCHE WOCHENSCHRIFT, 1935, 79 : 1303 - 1306
[24] CONCERNING CRITERION OF INFORMATION NEEDS
SHEKHRIN, DE
NAUCHNO-TEKHNICHESKAYA INFORMATSIYA SERIYA 1-ORGANIZATSIYA I METODIKA INFORMATSIONNOI RABOTY, 1968, (05): : 3 - &
[25] BERNOULLI NUMBERS AND KUMMERS CRITERION
STEVENS, HR
FIBONACCI QUARTERLY, 1986, 24 (02): : 154 - 159
[26] ON A CRITERION OF ALGEBRAIC INDEPENDENCE OF NUMBERS
ZHU, YC
CHINESE SCIENCE BULLETIN, 1989, 34 (07): : 540 - 542
[27] ON A CRITERION OF ALGEBRAIC INDEPENDENCE OF NUMBERS
朱尧辰
Science Bulletin, 1989, (07) : 540 - 542
[28] A generalized normal form and formal equivalence of systems of differential equations with zero characteristic numbers
Basov, VV
DIFFERENTIAL EQUATIONS, 2003, 39 (02) : 165 - 181
[29] Liouville numbers and normal numbers
Bugeaud, Y
COMPTES RENDUS MATHEMATIQUE, 2002, 335 (02) : 117 - 120
[30] A Generalized Normal Form and Formal Equivalence of Systems of Differential Equations with Zero Characteristic Numbers
V. V. Basov
Differential Equations, 2003, 39 : 165 - 181

← 1 2 3 4 5 →