Keyword

small functions

Description: In complex analysis, meromorphic functions whose growth is negligible relative to a specified comparison function, often an entire function.

Primary topic: Meromorphic and Entire Functions (96%)

OpenAlex ID: keywords/small-functions

The second main theorem for small functions and related problems

2004 · Katsutoshi Yamanoi · Acta Mathematica · 178

PDF

On the transcendental solutions of a certain type of nonlinear differential equations

2004 · C.-C. Yang, P. Li · Archiv der Mathematik · 128

Non-Interactive Secure Multiparty Computation

2014 · Amos Beimel, Ariel Gabizon, et al. · Lecture notes in computer science · 78

Entire solutions of certain type of differential equations

2008 · Ping Li · Journal of Mathematical Analysis and Applications · 64

Entire solutions of certain type of differential equations II

2010 · Ping Li · Journal of Mathematical Analysis and Applications · 63

PDF

The Minimum Modulus of Small Integral and Subharmonic Functions

1962 · P. D. Barry · Proceedings of the London Mathematical Society · 48

On small entire functions of exponential type with given zeros

1961 · Paul Malliavin, L.A. Rubel · Bulletin de la Société mathématique de France · 38

PDF

Value sharing of an entire function and its derivatives

1999 · Ping LI, Chung-Chun YANG · Journal of the Mathematical Society of Japan · 37

PDF

The uniqueness of meromorphic functions concerning small functions

2000 · Yuhua Li, Jianyong Qiao · Science in China Series A Mathematics · 36

Entire functions that share a small function with their derivatives

2008 · Jianming Chang, Yingzhong Zhu · Journal of Mathematical Analysis and Applications · 33

On one problem of uniqueness of meromorphic functions concerning small functions

2001 · Hong-Xun Yi · Proceedings of the American Mathematical Society · 27

PDF

On meromorphic solutions of a certain type of nonlinear differential equations

2017 · Xiao Qing Lu, Liang Wen Liao, et al. · Acta Mathematica Sinica English Series · 26

Uniqueness of meromorphic functions sharing a small function and its applications

2011 · Xiao-Bin Zhang, Jun-Feng Xu · Computers & Mathematics with Applications · 26

PDF

Weighted sharing of a small function by a meromorphic function and its derivative

2007 · Abhijit Banerjee · Computers & Mathematics with Applications · 23

PDF

Value Distribution in p-adic Analysis

2015 · Alain Escassut · WORLD SCIENTIFIC eBooks · 18

Properties of Difference Polynomials of Entire Functions with Finite Order

2012 · Chen Meiru · Chinese Annals of Mathematics · 16

Meromorphic Functions Sharing Four Values With Their Difference Operators or Shifts

2016 · Xiao-Min Li, Hong-Xun Yi · Bulletin of the Korean Mathematical Society · 15

PDF

Uniqueness of Meromorphic Functions Sharing Values with their nth Order Exact Differences

2018 · Z. Gao, R. Korhonen, et al. · Analysis Mathematica · 14

PDF

Uniqueness of entire functions concerning difference polynomials

2014 · Chao Meng · Mathematica Bohemica · 14

PDF

On the value distribution and uniqueness of difference polynomials of meromorphic functions

2013 · Hong-Yan Xu · Advances in Difference Equations · 14

PDF

On Entire and Meromorphic Functions That Share One Small Function with Their Differential Polynomial

2013 · Subhas S. Bhoosnurmath, Smita R. Kabbur · International Journal of Analysis · 14

PDF

A precise inequality of differential polynomials related to small functions

2016 · Junfeng Xu, Hongxun Yi · Journal of Mathematical Inequalities · 13

PDF

Uniqueness and value distribution of differences of entire functions

2010 · Xiaoguang Qi, Kai Liu · Journal of Mathematical Analysis and Applications · 13

PDF

Some extensions of the Tumura-Clunie theorem

1991 · Xin-Hou Hua · Complex Variables Theory and Application An International Journal · 13

A Unicity Theorem for Entire Functions

1990 · Xin-Hou Hua · Bulletin of the London Mathematical Society · 13

Works count: 432

Citation count: 1,507