Results 31 to 40 of about 5,956,521 (263)
Limit Directions of Julia Sets of Entire Functions and Complex Differential Equations
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 The limiting directions of Julia sets of infinite order entire functions are studied by combining the theory of complex dynamic system and the theory of complex differential equations, in which the lower bound of the measure of limiting direction of Julia set of entire solutions of complex differential equations is obtained.
Zhigao Qin +3 more
wiley +1 more source
Extreme problems in the space of meromorphic functions of finite order in the half plane. II
Математичні Студії, 2020 The extremal problems in the space of meromorphic functions of order $\rho>0$ in upper half-plane are studed. The method for studying is based on the theory of Fourier coefficients of meromorphic functions.
K.G. Malyutin, A.A. Revenko
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On the equation fn + (f″)m ≡ 1
Demonstratio Mathematica, 2023 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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AIMS Mathematics, 2021 In this paper, we study the transcendental entire solutions for the nonlinear differential-difference equations of the forms: $ \begin{eqnarray*} f^{2}(z)+\widetilde{\omega} f(z)f'(z)+q(z)e^{Q(z)}f(z+c) = u(z)e^{v(z)}, \end{eqnarray*} $ and $ \
Nan Li, Jiachuan Geng, Lianzhong Yang
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On the differentiability of T(r,f)
International Journal of Mathematics and Mathematical Sciences, 1982 It is well known that T(r,f) is differentiable at least for r>r0. We show that, in fact, T(r,f) is differentiable for all but at most one value of r, and if T(r,f) fails to have a derivative for some value of r, then f is a constant times a quotient of ...
Douglas W. Townsed
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Entire solutions for several general quadratic trinomial differential difference equations
Open Mathematics, 2021 This paper is devoted to exploring the existence and the forms of entire solutions of several quadratic trinomial differential difference equations with more general forms.
Luo Jun, Xu Hong Yan, Hu Fen
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Some Properties of Meromorphic Solutions of Systems of Complex q-Shift Difference Equations
Abstract and Applied Analysis, 2013 In view of Nevanlinna theory, we study the properties of meromorphic solutions of systems of a class of complex difference equations. Some results obtained improve and extend the previous theorems given by Gao.
Hong-Yan Xu +2 more
doaj +1 more source
Singular Schroedinger operators as self-adjoint extensions of n-entire operators [PDF]
, 2015 We investigate the connections between Weyl-Titchmarsh-Kodaira theory for one-dimensional Schr\"odinger operators and the theory of $n$-entire operators.
Silva, Luis O. +2 more
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Uniqueness of L-Functions Concerning Certain Differential Polynomials
Discrete Dynamics in Nature and Society, 2018 Relying on Nevanlinna theory and the properties of L-functions in the extended Selberg class, we mainly study the uniqueness problems on L-functions concerning certain differential polynomials. This generalizes some results of Steuding, Li, Fang, and Liu-
Wen-Jie Hao, Jun-Fan Chen
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Boundary relations and generalized resolvents of symmetric operators [PDF]
, 2006 The Kre\u{\i}n-Naimark formula provides a parametrization of all selfadjoint exit space extensions of a, not necessarily densely defined, symmetric operator, in terms of maximal dissipative (in $\dC_+$) holomorphic linear relations on the parameter space
A. Dijksma +53 more
core +4 more sources