Results 71 to 80 of about 10,211,419 (281)
Weighted Bergman kernel functions associated to meromorphic functions [PDF]
, 2013 We present a technique for computing explicit, concrete formulas for the weighted Bergman kernel on a planar domain with weight the modulus squared of a meromorphic function in the case that the meromorphic function has a finite number of zeros on the ...
Jacobson, Robert
core
Dynamical zeta functions for Axiom A flows
, 2018 We show that the Ruelle zeta function of any smooth Axiom A flow with orientable stable/unstable spaces has a meromorphic continuation to the entire complex plane.
Dyatlov, Semyon, Guillarmou, Colin
core +2 more sources
The Properties of Meromorphic Multivalent q-Starlike Functions in the Janowski Domain
Fractal and Fractional, 2023 Many researchers have defined the q-analogous of differential and integral operators for analytic functions using the concept of quantum calculus in the geometric function theory.
Isra Al-Shbeil +5 more
doaj +1 more source
The Carlson‐type zero‐density theorem for the Beurling ζ$\zeta$ function
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract In a previous paper, we proved a Carlson‐type density theorem for zeroes in the critical strip for the Beurling zeta functions satisfying Axiom A of Knopfmacher. There we needed to invoke two additional conditions: the integrality of the norm (Condition B) and an “average Ramanujan condition” for the arithmetical function counting the number ...
Szilárd Gy. Révész
wiley +1 more source
A factorization of a super-conformal map
, 2015 A super-conformal map and a minimal surface are factored into a product of two maps by modeling the Euclidean four-space and the complex Euclidean plane on the set of all quaternions. One of these two maps is a holomorphic map or a meromorphic map. These
B. Rouxel +21 more
core +1 more source
Bowen’s formula for meromorphic functions [PDF]
Ergodic Theory and Dynamical Systems, 2011 AbstractLetfbe an arbitrary transcendental entire or meromorphic function in the class 𝒮 (i.e. with finitely many singularities). We show that the topological pressureP(f,t) fort>0 can be defined as the common value of the pressuresP(f,t,z) for allz∈ℂ up to a set of Hausdorff dimension zero.
Krzysztof Barański +2 more
openaire +4 more sources
Moments of symmetric square L$L$‐functions on GL(3)${\rm GL}(3)$
Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.Abstract We give an asymptotic formula with power saving error term for the twisted first moment of symmetric square L$L$‐functions on GL(3)${\rm GL}(3)$ in the level aspect. As applications, we obtain nonvanishing results as well as lower bounds of the expected order of magnitude for all even moments, supporting the random matrix model for a unitary ...
Valentin Blomer, Félicien Comtat
wiley +1 more source
Value Distribution for a Class of Small Functions in the Unit Disk
International Journal of Mathematics and Mathematical Sciences, 2011 If 𝑓 is a meromorphic function in the complex plane, R. Nevanlinna noted that its characteristic function 𝑇(𝑟,𝑓) could be used to categorize 𝑓 according to its rate of growth as |𝑧|=𝑟→∞. Later H.
Paul A. Gunsul
doaj +1 more source
Results on Meromorphic Functions Partially Sharing Some Values in an Angular Domain
Mathematics, 2018 By using the Tsuji characteristic of meromorphic function in an angular domain, we investigate two meromorphic functions partially sharing some values in an angle region, and obtain one main result and a series of corollaries that are improvements and ...
Hongyan Xu, Hua Wang
doaj +1 more source
On the zero-one-pole set of a meromorphic function
, 1989 Let {an}, {bn} and {pn} be three disjoint sequences with no finite limit points. If it is possible to construct a meromorphic function / in the plane C whose zeros, one points and poles are exactly {an}, {bn} and {pn} respectively, where their ...
Hideharu Ueda
semanticscholar +1 more source