Results 51 to 60 of about 115 (110)

A power of a combination of meromorphic function with its shift sharing small function with its derivative

, 2020
In this paper, we use the idea of normal family to investigate the situation when a power of a combination of transcendental meromorphic function with its shift shares small function with it's derivative and obtain three results which improve and ...
Dam, Arup, Majumder, Sujoy
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Study on solutions of the systems of complex product-type PDEs with more general forms in ℂ2

Open Mathematics
With the help of the Nevanlinna theory and the Hadamard factorization theory of meromorphic functions, we mainly give a description of the existence and the forms of the transcendental entire solutions of several product-type complex partial differential
Li Hong, Luo Zhao Sheng, Xu Hong Yan
doaj   +1 more source

Integer points of analytic functions in a half-plane

, 2020
It is shown that if f is an analytic function of sufficiently small exponential type in the right half-plane, which takes integer values on a subset of the positive integers having positive lower density, then f is a polynomial.
Alastair N Fletcher, J K Langley
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On Littlewood's Constants [PDF]

, 2017
In two papers, Littlewood studied seemingly unrelated constants: (i) the best α such that for any polynomial f, of degree n, the areal integral of its spherical derivative is at most ·nα, and (ii) the extremal growth rate rβ of the length of Green's ...
Beliaev, D., Smirnov, S.
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THE SECOND DERIVATIVE OF A MEROMORPHIC FUNCTION

, 2001
Let $f$ be meromorphic of finite order in the plane, such that $f^{(k)}$ has finitely many zeros, for some $k\geq2$. The author has conjectured that $f$ then has finitely many poles.
J. K. Langley
core   +1 more source

A study of solutions for several classes of systems of complex nonlinear partial differential difference equations in ℂ2

Demonstratio Mathematica
This article is devoted to describing the entire solutions of several systems of the first-order nonlinear partial differential difference equations (PDDEs).
Jiao Xin, Chen Yu Bin, Xu Hong Yan
doaj   +1 more source

The properties of solutions for several types of Painlevé equations concerning fixed-points, zeros and poles

Open Mathematics, 2019
The purpose of this manuscript is to study some properties on meromorphic solutions for several types of q-difference equations. Some exponents of convergence of zeros, poles and fixed points related to meromorphic solutions for some q-difference ...
Xu Hong Yan, Zheng Xiu Min
doaj   +1 more source

Further Results on the Generalised Growth Properties of Functions Analytic in a Unit Disc

, 2010
Some comparative growth properties relating to relative generalised Nevanlinna order of an analytic function with respect to an entire function in a unit disc are studied in the paper.
Sanjib Kumar Datta, Eleja Jerin, Kalitala Diar, R J K High School, Kalital Diar, P O   +5 more
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Some Further Growth Relationships of Composite Entire and Meromorphic Functions

, 2011
The comparative growth properties of composite entire and meromorphic functions with respect to the maximum term of composition of two entire functions are studied in this paper.
Sanjib Kumar Datta, Santonu Savapondit
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Linear differential polynomials in zero-free meromorphic functions [PDF]

The paper determines all meromorphic functions f in C such that f and F have finitely many zeros, where F = f (k) + ak−1f(k−1)+ ... + a0f with k ≥ 3 and the aj rational functions.
Langley, J.K.
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