Results 91 to 100 of about 10,733,006 (284)
Convolution Properties for Some Subclasses of Meromorphic Functions of Complex Order
, 2015 Making use of the operator for functions of the form , which are analytic in the punctured unit disc and , we introduce two subclasses of meromorphic functions and investigate convolution properties, coefficient estimates, and containment properties for ...
M. Aouf, A. Mostafa, H. Zayed
semanticscholar +1 more source
Euler characteristics of affine ADE Nakajima quiver varieties via collapsing fibres
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract We prove a universal substitution formula that compares generating series of Euler characteristics of Nakajima quiver varieties associated with affine ADE diagrams at generic and at certain non‐generic stability conditions via a study of collapsing fibres in the associated variation of GIT map, unifying and generalising earlier results of the ...
Lukas Bertsch +2 more
wiley +1 more source
Meromorphic functions and factoriality [PDF]
Proceedings of the American Mathematical Society, 2005 Let K K be a compact subset of a connected Stein manifold X X . We study algebraic properties of the ring of meromorphic functions on X X without poles in K K .
openaire +2 more sources
Working with Tropical Meromorphic Functions of One Variable [PDF]
arXiv, 2011 In this paper, we survey and study definitions and properties of tropical polynomials, tropical rational functions and in general, tropical meromorphic functions, emphasizing practical techniques that can really carry out computations. For instance, we introduce maximally represented tropical polynomials and tropical polynomials in compact forms to ...
arxiv
Chebotarov Continua, Jenkins–Strebel Differentials and Related Problems: A Numerical Approach
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.ABSTRACT We detail a numerical algorithm and related code to construct rational quadratic differentials on the Riemann sphere that satisfy the Boutroux condition. These differentials, in special cases, provide solutions of (generalized) Chebotarov problem as well as being instances of Jenkins–Strebel differentials.
M. Bertola
wiley +1 more source
Meromorphic functions share three values with their difference operators [PDF]
arXiv, 2015 In the work, we focus on a conjecture due to Z.X. Chen and H.X. Yi[1] which is concerning the uniqueness problem of meromorphic functions share three distinct values with their difference operators. We prove that the conjecture is right for meromorphic function of finite order. Meanwhile, a result of J. Zhang and L.W.
arxiv
Effective upper bounds on the number of resonances in potential scattering
Mathematika, Volume 71, Issue 1, January 2025.Abstract We prove upper bounds on the number of resonances and eigenvalues of Schrödinger operators −Δ+V$-\Delta +V$ with complex‐valued potentials, where d⩾3$d\geqslant 3$ is odd. The novel feature of our upper bounds is that they are effective, in the sense that they only depend on an exponentially weighted norm of V.
Jean‐Claude Cuenin
wiley +1 more source
Uniqueness and Value-Sharing of Meromorphic Functions
, 2014 In this paper, we prove two uniqueness theorem on meromorphic functions sharing one value which generalize a recent result of R. S. Dyavanal 2, and on the other hand, we relax the nature of sharing value from CM to IM.
H. Waghamore, A. Tanuja
semanticscholar +1 more source
Lower bounds for the large deviations of Selberg's central limit theorem
Mathematika, Volume 71, Issue 1, January 2025.Abstract Let δ>0$\delta >0$ and σ=12+δlogT$\sigma =\frac{1}{2}+\tfrac{\delta }{\log T}$. We prove that, for any α>0$\alpha >0$ and V∼αloglogT$V\sim \alpha \log \log T$ as T→∞$T\rightarrow \infty$, 1Tmeas{t∈[T,2T]:log|ζ(σ+iτ)|>V}⩾Cα(δ)∫V∞e−y2/loglogTπloglogTdy,$$\begin{align*} &\frac{1}{T}\text{meas}\big \lbrace t\in [T,2T]: \log |\zeta (\sigma +{\rm i}\
Louis‐Pierre Arguin, Emma Bailey
wiley +1 more source
Boundary Value Problems, 2019 We study the equilibrium system with angular velocity for the prey. This system is a generalization of the two-species equilibrium model with Neumann type boundary condition.
Bo Meng
doaj +1 more source