Results 21 to 30 of about 929 (107)
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 7, Page 425-427, 2001., 2001 We prove that Mues′ conjecture holds for the second‐ and higher‐order derivatives of a square and higher power of any transcendental meromorphic function.
Indrajit Lahiri
wiley +1 more source
Value distribution of certain differential polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 2, Page 83-91, 2001., 2001 We prove a result on the value distribution of differential polynomials which improves some earlier results.
Indrajit Lahiri
wiley +1 more source
Further study on the Brück conjecture and some non-linear complex differential equations [PDF]
Arab Journal of Mathematical Sciences, 2021 Purpose – The purpose of this current paper is to deal with the study of non-constant entire solutions of some non-linear complex differential equations in connection to Brück conjecture, by using the theory of complex differential equation.
Dilip Chandra Pramanik, Kapil Roy
doaj +1 more source
Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations [PDF]
, 2005 The Lemma on the Logarithmic Derivative of a meromorphic function has many applications in the study of meromorphic functions and ordinary differential equations.
Halburd, R. G., Korhonen, R. J.
core +3 more sources
A note on a result of Singh and Kulkarni
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 4, Page 285-288, 2000., 2000 We prove that if f is a transcendental meromorphic function of finite order and ∑a≠∞δ(a, f) + δ(∞, f) = 2, then K(f(k))=2k(1−δ(∞,f))1+k−kδ(∞,f) , where K(f(k))=limr→∞N(r,1/f(k))+N(r,f(k))T(r,f(k)) This result improves a result by Singh and Kulkarni.
Mingliang Fang
wiley +1 more source
Acta Universitatis Sapientiae: Mathematica, 2017 In this paper we study some comparative growth properties of composite entire and meromorphic functions on the basis of their generalized relative order, generalized relative type and generalized relative weak type with respect to another entire function.
Datta Sanjib Kumar, Biswas Tanmay
doaj +1 more source
Some unsolved problems on meromorphic functions of uniformly bounded characteristic
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 3, Page 477-482, 1985., 1985 The family UBC(R) of meromorphic functions of uniformly bounded characteristic in a Rieman surface R is defined in terms of the Shimizu‐Ahlfors characteristic function. There are some natural parallels between UBC(R) and BMOA(R), the family of holomorphic functions of bounded mean oscillation in R.
Shinji Yamashita
wiley +1 more source
Hayman's classical conjecture on some nonlinear second order algebraic ODEs [PDF]
, 2015 In this paper, we study the growth, in terms of the Nevanlinna characteristic function, of meromorphic solutions of three types of second order nonlinear algebraic ordinary differential equations.
Conte, Robert +2 more
core +2 more sources
Results on the deficiencies of some differential-difference polynomials of meromorphic functions
Open Mathematics, 2016 In this paper, we study the relation between the deficiencies concerning a meromorphic function f(z), its derivative f′(z) and differential-difference monomials f(z)mf(z+c)f′(z), f(z+c)nf′(z), f(z)mf(z+c).
Zheng Xiu-Min, Xu Hong-Yan
doaj +1 more source
The existence of solutions to certain type of nonlinear difference-differential equations
Open Mathematics, 2018 In this paper we study the entire solutions to a certain type of difference-differential equations. We also give an affirmative answer to the conjecture of Zhang et al.
Lü Weiran +3 more
doaj +1 more source