Results 41 to 50 of about 288 (167)
An EZ${\mathcal {E}\mathcal {Z}}$‐structure for the mapping class group
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We construct a boundary for the mapping class group Mod(S)${\rm Mod}(S)$ of a surface S$S$ of finite type. The action of Mod(S)${\rm Mod}(S)$ on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ${\mathcal {E}\mathcal {Z}}$‐structure for Mod(S)${\rm Mod}(S)$.
Ursula Hamenstädt
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Meromorphic Solutions of Some Complex Difference Equations [PDF]
Advances in Difference Equations, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang Zhi-Bo, Chen Zong-Xuan
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An Algebraic Study of Parametric Stokes Phenomena
Studies in Applied Mathematics, Volume 157, Issue 1, July 2026.ABSTRACT We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the ...
Inês Aniceto, Samuel Crew
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On growth order of solutions of differential equations in a neighborhood of a branch point [PDF]
Математичні Студії, 2013 Let $M_k$ be {the} set of $k$-valued meromorphic in$G={zcolon r_0leqslant |z|}$ functions with {a}~branch point of order$k-1$ {at} $infty$; let $E_ast$ be a set of circles {with finite} sum of radii.
A. Z. Mokhonko, A. A. Mokhonko
doaj
Some Properties on Complex Functional Difference Equations
Abstract and Applied Analysis, 2014 We obtain some results on the transcendental meromorphic solutions of complex functional difference equations of the form ∑λ∈Iαλ(z)(∏j=0nf(z+cj)λj)=R(z,f∘p)=((a0(z)+a1(z)(f∘p)+ ⋯ +as(z) (f∘p)s)/(b0(z)+b1(z)(f∘p)+ ⋯ +bt(z)(f∘p)t)), where I is a finite set
Zhi-Bo Huang, Ran-Ran Zhang
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Roots of polynomial sequences in root‐sparse regions
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Given a family (qk)k$(q_k)_k$ of polynomials, we call an open set U$U$root‐sparse if the number of zeros of qk$q_k$ is locally uniformly bounded on U$U$. We study the interplay between the individual zeros of the polynomials qk$q_k$ and those of the m$m$th derivatives qk(m)$q_k^{(m)}$ in a root‐sparse open set U$U$, as k→∞$k\rightarrow \infty$.
Christian Henriksen +2 more
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Mathematics, 2019 In this paper, we investigate the value distribution of meromorphic solutions and their arbitrary-order derivatives of the complex linear differential equation f ′ ′ + A ( z ) f ′ + B ( z ) f = F ( z ) in Δ
Hai-Ying Chen, Xiu-Min Zheng
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On Growth of Meromorphic Solutions for Linear Difference Equations [PDF]
Abstract and Applied Analysis, 2013 Summary: We mainly study growth of linear difference equations \(P_n(z) f(z + n) + \cdots + P_1(z) f(z + 1) + P_0(z) f(z) = 0\) and \(P_n(z) f(z + n) + \cdots + P_1(z) f(z + 1) + P_0(z) f(z) = F(z)\), where \(F(z), P_0(z), \ldots, P_n(z)\) are polynomials such that \(F(z) P_0(z) P_n(z) \not\equiv 0\) and give the most weak condition to guarantee that ...
Zong-Xuan Chen, Kwang Ho Shon
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On exotic matrix exponential sums and Bessel–Speh functions
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract In a previous work with Carmon, we defined Bessel–Speh functions. These are matrix coefficients of irreducible Speh representations of GLkc(F)$\mathrm{GL}_{kc}(\mathbb {F})$, where F$\mathbb {F}$ is a finite field. They arise from (k,c)$(k,c)$ models, which are models that generalize the Whittaker model to Speh representations attached to ...
Elad Zelingher
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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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