Results 1 to 10 of about 88 (55)
New findings on the periodicity of entire functions and their differential polynomials [PDF]
arXiv, 2022 In this paper, we seek to explore under what conditions the periodicity of an entire function $ f(z) $ follows from the periodicity of a differential polynomial in $ f(z) $. We improve and generalize some earlier results and we give other new findings.
Laine, Ilpo +2 more
arxiv +2 more sources
Entire solutions for several complex partial differential-difference equations of Fermat type in ℂ2
Open Mathematics, 2021 By utilizing the Nevanlinna theory of meromorphic functions in several complex variables, we mainly investigate the existence and the forms of entire solutions for the partial differential-difference equation of Fermat type α∂f(z1,z2)∂z1+β∂f(z1,z2)∂z2m+f(
Gui Xian Min +3 more
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Demonstratio Mathematica, 2023 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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Open Mathematics, 2023 Our purpose in this article is to describe the solutions of several product-type nonlinear partial differential equations (PDEs) (a1u+b1uz1+c1uz2)(a2u+b2uz1+c2uz2)=1,\left({a}_{1}u+{b}_{1}{u}_{{z}_{1}}+{c}_{1}{u}_{{z}_{2}})\left({a}_{2}u+{b}_{2}{u}_{{z}_{
Xu Yi Hui +3 more
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Reduction of Order, Periodicity and Boundedness in Nonlinear, Higher Order Difference Equations [PDF]
Computers and Mathematics with Applications, 66 (2013) 2231-2238, 2012 We consider the semiconjugate factorization and reduction of order for non-autonomous, nonlinear, higher order difference equations containing linear arguments. These equations have appeared in several mathematical models in biology and economics. By extending some recent results to cases where characteristic polynomials of the linear expressions have ...
arxiv +1 more source
Solvability of a product-type system of difference equations with six parameters
Advances in Nonlinear Analysis, 2016 Closed form formulas for well-defined complex-valued solutions to a product-type system of difference equations of interest with six parameters are presented. The form of the solutions is described in detail in terms of the parameters and initial values.
Stević Stevo
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q-Nagumo norms and formal solutions to singularly perturbed q-difference equations [PDF]
arXiv, 2023 The aim of this work is to establish the existence, uniqueness and q-Gevrey character of formal power series solutions of q-analogues of analytic doubly-singular equations. Using a new family of Nagumo norms adapted for q-differences we find new types of optimal divergence associated with these problems.
arxiv
Selection of rhizobia for Trifolium repens in flooded soil conditions [PDF]
Biotemas, 2012 The Brazilian state of Rio Grande do Sul has approximately 5.4 million hectares of lowland. The introduction of winter forage legumes, such as white clover, can increase the productivity of these lowland areas through biological nitrogen fixation (BNF ...
Aleksander Westphal Muniz +2 more
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A q-generalization of the Toda equations for the q-Laguerre/Hermite orthogonal polynomials [PDF]
Random Matrices: Theory and Applications Vol. 7, No. 2 (2018)
1840002 (20 pages), 2018 Based on the motivation of generalizing the correspondence between the Lax equation for the Toda lattice and the deformation theory of the orthogonal polynomials, we derive a q-deformed version of the Toda equations for both q-Laguerre/Hermite ensembles, and check the compatibility with the quadratic relation.
arxiv +1 more source
Annales Mathematicae SilesianaeIn this paper we are focusing on finding the transcendental entire solution of Fermat-type trinomial and binomial equations, by restricting the hyper-order to be less than one.
Banerjee Abhijit, Sarkar Jhuma
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