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Robust Controller Design Using the Nevanlinna-Pick Interpolation in Gyro Stabilized Pod
Discrete 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
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Subharmonic functions and electric fields in ball layers. II [PDF]
Математичні Студії, 2011 In this sequel to cite{GK} we study a special case $BL(frac{1}{r},r)$, $r>1$. Alsothe explicit representation of a subharmonic extension for a subharmonic function $u(x)$ near a removable point is obtained.
O. P. Gnatiuk, A. A. Kondratyuk
doaj
Difference independence of the Riemann zeta function
, 2006 It is proved that the Riemann zeta function does not satisfy any nontrivial algebraic difference equation whose coefficients are meromorphic functions $\phi$ with Nevanlinna characteristic satisfying $T(r, \phi)=o(r)$ as $r\to \infty$Comment: To appear ...
Chiang, Yik-Man, Feng, Shaoji
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Collective and static properties of model two-component plasmas
, 2007 Classical MD data on the charge-charge dynamic structure factor of two-component plasmas (TCP) modeled in Phys. Rev. A 23, 2041 (1981) are analyzed using the sum rules and other exact relations.
A. Askaruly +22 more
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Nevanlinna characteristics and defective values of the Weierstrass zeta function
Ukrainian Mathematical Journal, 2011 The authors study the value distribution of the Weierstrass zeta function \(\zeta\), proving the following growth estimates: \[ \begin{aligned} N(r,\zeta) & = \frac{\pi r^2}{2D} + O(r),\\ m(r,\zeta) & = O(\ln r),\\ T(r,\zeta)& = \frac{\pi r^2}{2D} + O(r)\end{aligned} \] when \(r\to\infty\), where \(D\) denotes the area of the primitive period ...
Korenkov, M. E. +2 more
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Nevanlinna theory of the Askey-Wilson divided difference operator
, 2018 This paper establishes a version of Nevanlinna theory based on Askey-Wilson divided difference operator for meromorphic functions of finite logarithmic order in the complex plane $\mathbb{C}$.
Chiang, Yik-Man, Feng, Shaoji
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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
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New Integral Inequalities for the Nevanlinna Characteristics of Meromorphic Functions
Journal of Mathematics Research, 2015 In this paper, we introduce generalization of the Nevanlinna characteristics and give a short survey of classical and recent results on the representation of a meromorphic function in terms such characteristics. And then we characterize the counting functions N(r,f), N(r,a), and the characteristics functions T(r,f), T(r,a) defined on a non-constant ...
Md Mainul Islam, A. N. M. Rezaul Karim
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Discontinuity of the Lempert function and the Kobayashi--Royden metric of the spectral ball
, 2007 Some results on the discontinuity properties of the Lempert function and the Kobayashi pseudometric in the spectral ball are given.Comment: After submitting this paper to a journal in January the authors received a paper by G.
Nikolov, Nikolai +2 more
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Journal of Geophysical Research: Space Physics, Volume 131, Issue 4, April 2026.Abstract A sudden drop in solar radiation during an annular (or total) eclipse directly affects ionospheric electrodynamics, primarily through the reduction of solar extreme ultraviolet (EUV) and soft X‐ray flux, which are responsible for generating the ionospheric plasma.
Charles Owolabi +6 more
wiley +1 more source