Results 61 to 70 of about 2,699,992 (220)
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
wiley +1 more source
On the Growth of Wronskians Using their Relative Orders, Relative Types and Relative Weak Types
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 In this paper the comparative growth properties of composition of entire and meromorphic functions on the basis of their relative orders (relative lower orders), relative types and relative weak types of Wronskians generated by entire and meromorphic ...
Datta Sanjib Kumar +2 more
doaj +1 more source
Notes on Uniqueness of Meromorphic Functions [PDF]
Journal of Applied Analysis, 2006 In this paper, the authors prove (Theorem~1.1): Let \(f\), \(g\) be distinct nonconstant meromorphic functions and \(n\geq 10\) be an integer. Put \(h=f/g\). If \(E(\infty,f)=E(\infty,g)\) and \(E_{(3)}\bigl(1,f^n(f-1)f'\bigr)=E_{(3)}\bigl(1,g^n(g-1)g'\bigr)\), then \(f=R_n(1/h)\) and \(g=R_n(h)\) for the rational function \(R_n(w)=P_{n+1}(w)/P_{n+2}(w)
Lü, W., Cao, J.
openaire +3 more sources
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
wiley +1 more source
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
core +1 more source
On the Uniqueness Results and Value Distribution of Meromorphic Mappings
Mathematics, 2017 This research concentrates on the analysis of meromorphic mappings. We derived several important results for value distribution of specific difference polynomials of meromorphic mappings, which generalize the work of Laine and Yang.
Rahman Ullah +4 more
doaj +1 more source
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
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.
core
Compositionally universal meromorphic functions
, 2019 peer reviewedFor a sequence of holomorphic maps $(\vp_n)$ from a domain $\Omega_2$ to a domain $\Omega_1$, we consider meromorphic functions $f$ on $\Omega_1$ for which the sequence of compositions $(f \circ \vp_n)$ is dense in the space of all ...
MEYRATH, Thierry
core +1 more source
Uniqueness of meromorphic functions sharing two finite sets
Open Mathematics, 2017 We prove uniqueness theorems of meromorphic functions, which show how two meromorphic functions are uniquely determined by their two finite shared sets. This answers a question posed by Gross.
Chen Jun-Fan
doaj +1 more source