Results 71 to 80 of about 36,756 (228)
Unicity Results Concerning of difference monomials of L-function and a meromorphic function
In this paper, we study the value distribution of $\mathcal{L}$-function in the extend Selberg class and a non-constant transcendental meromorphic $\mathsf{f}$ function with finitely many zeros of finite order, sharing a polynomial with its difference ...
Harina Waghamore P, Roopa M.
doaj +1 more source
The three-loop equal-mass banana integral in ε-factorised form with meromorphic modular forms
We show that the differential equation for the three-loop equal-mass banana integral can be cast into an ε-factorised form with entries constructed from (meromorphic) modular forms and one special function, which can be given as an iterated integral of ...
Sebastian Pögel +2 more
doaj +1 more source
Meromorphic Lipschitz functions [PDF]
Let f be a function meromorphic in D = {|z| < 1} and let X be the chordal distance on the Riemann sphere. Then f satisfies the Lipschitz conditionin D if and only if |f′(z)|/(1 + |f(z)|2) = O((1 – |z|)α−1) and |z| → 1.
openaire +1 more source
Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols
A major open problem in the theory of Toeplitz operators on the analytic Bergman space over the unit disk is the characterization of the commutant of a given Toeplitz operator, that is, the set of all bounded Toeplitz operators that commute with it. In this paper, we provide a complete description of bounded Toeplitz operators Tf, where the symbol f ...
Aissa Bouhali +3 more
wiley +1 more source
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun +2 more
wiley +1 more source
Parabolic meromorphic functions [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Fast and Slow Mixing of the Kawasaki Dynamics on Bounded‐Degree Graphs
ABSTRACT We study the worst‐case mixing time of the global Kawasaki dynamics for the fixed‐magnetization Ising model on the class of graphs of maximum degree Δ$$ \Delta $$. Proving a conjecture of Carlson, Davies, Kolla, and Perkins, we show that below the tree‐uniqueness threshold, the Kawasaki dynamics mix rapidly for all magnetizations. Disproving a
Aiya Kuchukova +3 more
wiley +1 more source
Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function
The findings of this study are connected with geometric function theory and were acquired using subordination-based techniques in conjunction with the Hurwitz–Lerch Zeta function.
Ekram E. Ali +3 more
doaj +1 more source
Compactifications of strata of differentials
Abstract In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1‐forms on Riemann surfaces, that is, spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems.
Benjamin Dozier
wiley +1 more source
The algebro-geometric solutions for Degasperis-Procesi hierarchy [PDF]
Though completely integrable Camassa-Holm (CH) equation and Degasperis-Procesi (DP) equation are cast in the same peakon family, they possess the second- and third-order Lax operators, respectively.
Fan, Engui +3 more
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