Results 21 to 30 of about 9,438,737 (154)

Composition operators on weighted Hilbert spaces of Dirichlet series

open access: yesJournal of the London Mathematical Society, Volume 108, Issue 2, Page 837-868, August 2023., 2023
Abstract We study composition operators of characteristic zero on weighted Hilbert spaces of Dirichlet series. For this purpose, we demonstrate the existence of weighted mean counting functions associated with the Dirichlet series symbol, and provide a corresponding change of variables formula for the composition operator.
Athanasios Kouroupis   +1 more
wiley   +1 more source

The Bloch–Nevanlinna Problem Under Lineability

open access: yesMediterranean Journal of Mathematics, 2023
The original version of the celebrated Bloch–Nevanlinna problem asked whether there exists or not a holomorphic function in the unit disc of bounded characteristic whose derivative is not of bounded characteristic.
L. Bernal González, A. Bonilla
semanticscholar   +1 more source

On the differentiability of T(r,f)

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1982
It is well known that T(r,f) is differentiable at least for r>r0. We show that, in fact, T(r,f) is differentiable for all but at most one value of r, and if T(r,f) fails to have a derivative for some value of r, then f is a constant times a quotient of ...
Douglas W. Townsed
doaj   +1 more source

Meromorphic functions of finite $\lambda$-type in a half-strip

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
The Nevanlinna characteristic of meromorphic functions in a half-strip, such that $f(\sigma)=f(\sigma+ 2\pi i)$, is introduced, and its main properties are investigated.
N. B. Sokul's'ka
doaj   +1 more source

Growth characteristics of loxodromic and elliptic functions [PDF]

open access: yesМатематичні Студії, 2012
The asymptotic behaviour of the Nevanlinna characteristic for loxodromic functions as well as the Nevanlinna type characteristic for elliptic functions are investigated.
A. Ya. Khrystiyanyn   +2 more
doaj  

Integrals of subharmonic functions and their differences with weight over small sets on a ray

open access: yesМатематичні Студії, 2020
Let $E$ be a measurable subset in a segment $[0,r]$ in the positive part of the real axis in the complex plane, and $U=u-v$ be the difference of subharmonic functions $u\not\equiv -\infty$ and $v\not\equiv -\infty$ on the complex plane.
B.N. Khabibullin
doaj   +1 more source

Extreme problems in the space of meromorphic functions of finite order in the half plane. II

open access: yesМатематичні Студії, 2020
The extremal problems in the space of meromorphic functions of order $\rho>0$ in upper half-plane are studed. The method for studying is based on the theory of Fourier coefficients of meromorphic functions.
K.G. Malyutin, A.A. Revenko
doaj   +1 more source

On characterizations of main parts of some meromorphic classes of area Nevanlinna [PDF]

open access: yesПроблемы анализа, 2011
We characterize main parts of Loran expansions of certain meromorphic spaces in the unit disk defined with the help of Nevanlinna characteristic.
Shamoyan R., Haiying L.
doaj  

Robust Controller Design Using the Nevanlinna-Pick Interpolation in Gyro Stabilized Pod

open access: yesDiscrete Dynamics in Nature and Society, 2010
The sensitivity minimization of feedback system is solved based on the theory of Nevanlinna-Pick interpolation with degree constraint without using weighting functions. More details of the dynamic characteristic of second-order system investigated, which
Bin Liu   +3 more
doaj   +1 more source

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