Results 41 to 50 of about 369 (181)
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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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 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 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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Properties of Meromorphic Solutions of a Class of Second Order Linear Differential Equations
International Journal of Analysis and Applications, 2014 This paper deals with the growth of meromorphic solutions of some second order linear differential equations, where it is assumed that the coefficients are meromorphic functions. Our results extend the previous results due to Chen and Shon, Xu and Zhang,
Benharrat Belaidi, Habib Habib
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Isotopies of complete minimal surfaces of finite total curvature
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Let M$M$ be a Riemann surface biholomorphic to an affine algebraic curve. We show that the inclusion of the space ℜNC∗(M,Cn)$\Re \mathrm{NC}_*(M,\mathbb {C}^n)$ of real parts of nonflat proper algebraic null immersions M→Cn$M\rightarrow \mathbb {C}^n$, n⩾3$n\geqslant 3$, into the space CMI∗(M,Rn)$\mathrm{CMI}_*(M,\mathbb {R}^n)$ of complete ...
Antonio Alarcón +2 more
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Growth of meromorphic solutions of higher order linear differential equations
Electronic Journal of Differential Equations, 2014 In this article, we investigate the growth of meromorphic solutions of the differential equations $$\displaylines{ f^{(k)}+A_{k-1}f^{(k-1)}+\dots+A_0f=0,\cr f^{(k)}+A_{k-1}f^{(k-1)}+\dots+A_0f=F, }$$ where $A_j, F$ $(j=0,\dots,k-1)$ are meromorphic
Lijun Wang, Huifang Liu
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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
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Properties of meromorphic solutions to certain differential-difference equations
Electronic Journal of Differential Equations, 2013 We consider the properties of meromorphic solutions to certain type of non-linear difference equations. Also we show the existence of meromorphic solutions with finite order for differential-difference equations related to the Fermat type functional ...
Xiaoguang Qi, Lianzhong Yang
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