Entire solutions of two certain Fermat-type ordinary differential equations
Open Mathematics, 2023 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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Forum of Mathematics, Sigma, 2023 Erdős [7] proved that the Continuum Hypothesis (CH) is equivalent to the existence of an uncountable family $\mathcal {F}$ of (real or complex) analytic functions, such that $\big \{ f(x) \ : \ f \in \mathcal {F} \big \}$ is countable for ...
Brent Cody, Sean Cox, Kayla Lee
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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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Infinite growth of solutions of second order complex differential equation
Open Mathematics, 2018 In this paper we study the growth of solutions of second order differential equation f′′ + A(z)f′ + B(z)f = 0. Under certain hypotheses, the non-trivial solution of this equation is of infinite order.
Zhang Guowei
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Hyper Relative Order (p, q) of Entire Functions
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 After the works of Lahiri and Banerjee [6] on the idea of relative order (p, q) of entire functions, we introduce in this paper hyper relative order (p, q) of entire functions where p, q are positive integers with p>q and prove sum theorem, product ...
Banerjee Dibyendu, Batabyal Saikat
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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
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Geometry of transcendental singularities of complex analytic functions and vector fields
Complex ManifoldsOn Riemann surfaces MM, there exists a canonical correspondence between a possibly multivalued function ΨX{\Psi }_{X} whose differential is single-valued (i.e. an additively automorphic singular complex analytic function) and a vector field XX.
Alvarez-Parrilla Alvaro +1 more
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Abdominal Acupuncture as an Adjunctive Therapy for the Recovery of Motor Function After Stroke: A Systematic Review and Meta-Analysis of Randomized Controlled Trials. [PDF]
Front Neurol, 2021 Zhan J +6 more
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Quasirandom Graphs and the Pantograph Equation. [PDF]
Am Math Mon, 2021 Shapira A, Tyomkyn M.
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Relative Efficacy of Cervical Total Disc Arthroplasty Devices and Anterior Cervical Discectomy and Fusion for Cervical Pathology: A Network Meta-Analysis. [PDF]
Global Spine JZavras AG +6 more
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