Results 61 to 70 of about 4,247 (224)
Meromorphic solutions of higher order BriotBouquet differential equations [PDF]
, 2009 For differential equations P(y(k), y)=0, where P is a polynomial, we prove that all meromorphic solutions having at least one pole are elliptic functions, possibly degenerate.
Ng, TW, Eremenko, AE, Liao, L
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Definability of complex functions in o‐minimal structures
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract We prove that holomorphic continuations of functions in the classes an∗$\mathbf {an}^*$ and G$\mathcal {G}$ are definable in the o‐minimal structures Ran∗$\mathbb {R}_{\operatorname{an}^*}$ and RG$\mathbb {R}_{\mathcal {G}}$, respectively. More specifically, we give complex domains on which the holomorphic continuations are definable and show ...
Adele Padgett, Patrick Speissegger
wiley +1 more source
A New Class of Meromorphic Multivalent Functions Involving Certain Linear Operator [PDF]
, 2016 [[abstract]]Making use of certain extended derivative operator of Ruscheweyh type, we introduce a new class Jp(; ; ) of meromorphic multivalent function in the punctured disk D = fz : z 2 C; 0 < jzj < 1g, and obtain some sucient conditions for the ...
J. K. Prajapat, S. P. Goyal
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Fock space of local fields of the discrete GFF and its scaling limit bosonic CFT
Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.Abstract To connect conformal field theories (CFTs) to probabilistic lattice models, recent works of Hongler et al. and Adame‐Carrillo have introduced a novel definition of local fields of the lattice models. Local fields in this picture are probabilistically concrete: they are built from random variables in the model.
David Adame‐Carrillo +2 more
wiley +1 more source
Transcendental dynamics: wandering domains of meromorphic functions [PDF]
, 2023 This thesis explores the iteration of transcendental meromorphic functions, i.e., functions that are meromorphic in the complex plane and admit no analytic extension to the Riemann sphere.
Rodrigues Ferreira, Gustavo
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Some Subclasses of Meromorphic Functions Associated with a Family of Integral Operators
Journal of Inequalities and Applications, 2009 Making use of the principle of subordination between analytic functions and a family of integral operators defined on the space of meromorphic functions, we introduce and investigate some new subclasses of meromorphic functions. Such results as inclusion
Zhi-Gang Wang, Zhi-Hong Liu, Yong Sun
doaj +2 more sources
The Modified Camassa–Holm Equation on the Half Line: A Riemann–Hilbert Approach
Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.ABSTRACT We consider the initial‐boundary value (IBV) problem for the modified Camassa–Holm (mCH) equation m∼t+(u∼2−u∼x2+2u∼)m∼x=0,m∼:=u∼−u∼xx+1$\tilde{m}_t+{\left((\tilde{u}^2-\tilde{u}_x^2+2\tilde{u})\tilde{m}\right)}_x = 0, \qquad \tilde{m}:=\tilde{u}-\tilde{u}_{xx}+1$ on the half‐line x≥0$x \ge 0$.
Iryna Karpenko, Dmitry Shepelsky
wiley +1 more source
Uniqueness of a meromorphic functions that share one small function and its derivative. [PDF]
, 2016 In this paper we consider the problem of uniqueness of meromorphic functions that share one small function and its derivatives, and obtain two theorems which improve the result of Qingcai Zhang [11]
Husna, V., Harina, P. Waghamore.
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On normal families of meromorphic functions [PDF]
, 2007 In this paper, we study the normality of a family of meromorphic functions and obtain some normality results for meromorphic functions, which improve and generalize the related results of Gu, Bergweiler and ...
Liu, Lipei
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Growth Properties of Wronskians in the Light of Relative Order
International Journal of Analysis and Applications, 2014 In this paper we study the comparative growth properties of composition of entire and meromorphic functions on the basis of relative order (relative lower order) of Wronskians generated by entire and meromorphic functions.
Sanjib Kumar Datta +2 more
doaj +2 more sources