Results 31 to 40 of about 788 (72)
Uniqueness of meromorphic functions sharing two values
Journal of Inequalities and Applications, 2012 In this article, we shall study the uniqueness problems on meromorphic functions sharing nonzero finite value or having fixed points. Our results extend the corresponding results of Fang and Hua, Yang and Hua, and Fang and Qiu. MSC 2010: 30D35, 30D30.
Yinhong Cao, Xiao-Bin Zhang
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Entropy of Transcendental entire functions
, 2019 We prove that all entire transcendental entire functions have infinite topological entropy.Comment: 13 ...
Benini, Anna Miriam +2 more
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Some uniqueness results related to the Br\"{u}ck Conjecture
, 2018 Let f be a non-constant meromorphic function and a = a(z) be a small function of f. Under certain essential conditions, we obtained similar type conclusion of Bruck Conjecture, when f and its differential polynomial P[f] shares a with weight l.
Chakraborty, Bikash
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Nevanlinna Theory of the Wilson Divided-difference Operator
, 2017 Sitting at the top level of the Askey-scheme, Wilson polynomials are regarded as the most general hypergeometric orthogonal polynomials. Instead of a differential equation, they satisfy a second order Sturm-Liouville type difference equation in terms of ...
Cheng, Kam Hang, Chiang, Yik-Man
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Value distribution of the hyperbolic Gauss maps for flat fronts in hyperbolic three-space [PDF]
, 2010 We give an effective estimate for the totally ramified value number of the hyperbolic Gauss maps of complete flat fronts in the hyperbolic three-space.
Y. Kawakami, Yu Kawakami
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Properties of q-shift difference-differential polynomials of meromorphic functions
Advances in Differential Equations, 2014 In this paper, we deal with the zeros of the q-shift difference-differential polynomials [P(f)∏j=1df(qjz+cj)sj](k)−α(z) and (P(f)∏j=1d[f(qjz+cj)−f(z)]sj)(k)−α(z), where P(f) is a nonzero polynomial of degree n, qj,cj∈C∖{0} (j=1,…,d) are constants, n,d,sj(
Xin-Li Wang, H. Xu, Tang-Sen Zhan
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Uniqueness problems on entire functions that share a small function with their difference operators
, 2014 In this paper, we consider uniqueness problems on entire functions that share a small periodic entire function with their two difference operators and obtain some results.
Baoqin Chen, Sheng Li
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Connections and the Second Main Theorem for Holomorphic Curves [PDF]
, 2011 By means of $C^\infty$-connections we will prove a general second main theorem and some special ones for holomorphic curves. The method gives a geometric proof of H. Cartan's second main theorem in 1933.
Noguchi, Junjiro
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Entire solutions of certain type of difference equations
, 2014 In this paper, we shall study the conditions regarding the existence of transcendental entire solutions of certain type of difference equations. Our results are either supplements to some results obtained recently, or are relating to the conjecture ...
Nana Liu +3 more
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All exact traveling wave solutions of the combined KdV-mKdV equation
, 2014 In this article, we employ the complex method to obtain all meromorphic solutions of complex combined Korteweg-de Vries-modified Korteweg-de Vries equation (KdV-mKdV equation) at first, then we find all exact traveling wave solutions of the combined KdV ...
Yong Huang +3 more
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