Results 31 to 40 of about 113 (110)
Entire solutions of two certain Fermat-type ordinary differential equations
In this article, we investigate the precise expression forms of entire solutions for two certain Fermat-type ordinary differential equations: (a0f+a1f′)2+(a0f+a2f′)2=p{\left({a}_{0}f+{a}_{1}{f}^{^{\prime} })}^{2}+{\left({a}_{0}f+{a}_{2}{f}^{^{\prime} })}^
Hu Binbin, Yang Liu
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Growth of meromorphic solutions of certain types of q-difference differential equations [PDF]
In this paper, relying on Nevanlinna theory of the value distribution of meromorphic functions, we mainly study meromorphic solutions of certain types of q -difference differential equations, obtain estimates of the growth order of their meromorphic ...
Jiang, Yeyang +5 more
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On the equation fn + (f″)m ≡ 1
Let nn and mm be two positive integers, and the second-order Fermat-type functional equation fn+(f″)m≡1{f}^{n}+{({f}^{^{\prime\prime} })}^{m}\equiv 1 does not have a nonconstant meromorphic solution in the complex plane, except (n,m)∈{(1,1),(1,2),(1,3 ...
Dang Guoqiang
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A power of a combination of meromorphic function with its shift sharing small function with its derivative [PDF]
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
core
In this article, we investigate the existence and the precise form of finite-order transcendental entire solutions of some system of Fermat-type quadratic binomial and trinomial shift equations in Cn{{\mathbb{C}}}^{n}. Our results are the generalizations
Haldar Goutam, Banerjee Abhijit
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Integer points of analytic functions in a half-plane [PDF]
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
core
THE SECOND DERIVATIVE OF A MEROMORPHIC FUNCTION [PDF]
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
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Background — Anal sac impaction is common in dogs and manual expression may be effective, yet recurrence remains a problem. To facilitate physiological emptying of the sacs, it is important to maintain a bulky stool consistency. Objectives — The study evaluated if supplementation with ProGlan, a complementary feed containing Bacillus velezensis C‐3102 ...
Marta Salichs +2 more
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Further Results on the Generalised Growth Properties of Functions Analytic in a Unit Disc [PDF]
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 +5 more
core
On the periodicity of meromorphic functions when sharing two sets IM [PDF]
In this paper, we have considered two sets sharing problems, and investigated on some sufficient conditions for the periodicity of meromorphic functions and obtained two results improving the result of Bhoosnurmath-Kabbur [6], Qi- Dou-Yang [17] and Zhang
AHAMED, Molla Basir
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