Results 31 to 40 of about 302,926 (303)
On invariant zeros of linear systems of PDEs
, 2006 In this paper we provide a behavioral framework in which to describe and extend the concept of linear dynamics introduced by Fliess, from the one dimensional (1D) to the multidimensional (nD) framework.We provide an alternative description of the ...
ZARIS, P +7 more
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Inequalities for the Zeros of a Polynomial
, 2006 An explicit ring shaped region containing all the zeros of a polynomial involving binomial coefficients and Pell numbers is obtained and some classical bounds are ...
Egozcue, Juan José +1 more
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Ufimskii Matematicheskii Zhurnal, 2019 Summary: For a given polynomial \[P\left( z\right) =z^n+a_{n-1}z^{n-1}+a_{n-2}z^{n-2}+\cdots +a_1z+a_0\] with real or complex coefficients, the Cauchy bound \[\left\vert z\right\vert
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Walailak Journal of Science and Technology, 2019 In this note we discuss the Gauss-Lucas theorem (for the zeros of the derivative of a polynomial) and Speiser’s equivalent for the Riemann hypothesis (about the location of zeros of the Riemann zeta-function).
Janyarak TONGSOMPORN, Jörn STEUDING
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A two-variable approach to solve the polynomial Lyapunov equation
, 2001 A two-variable polynomial approach to solve the one-variable polynomial Lyapunov equation is proposed. Lifting the problem from the one-variable to the two-variable context allows to use Faddeev-type recursions in order to solve the polynomial Lyapunov ...
Peeters, Ralf, Rapisarda, Paolo
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On the zeros of Meixner polynomials [PDF]
Numerische Mathematik, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alta Jooste +2 more
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Inequalities for the Polar Derivative of a Polynomial
Abstract and Applied Analysis, 2012 For a polynomial 𝑝(𝑧) of degree 𝑛, we consider an operator 𝐷𝛼 which map a polynomial 𝑝(𝑧) into 𝐷𝛼𝑝(𝑧)∶=(𝛼−𝑧)𝑝′(𝑧)+𝑛𝑝(𝑧) with respect to 𝛼. It was proved by Liman et al. (2010) that if 𝑝(𝑧) has no zeros in |𝑧|
Ahmad Zireh
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Generalizations of the Cauchy and Fujiwara Bounds for Products of Zeros of a Polynomial [PDF]
, 2016 The Cauchy bound is one of the best known upper bounds for the modulus of the zeros of a polynomial. The Fujiwara bound is another useful upper bound for the modulus of the zeros of a polynomial.
Pereira, Rajesh, Vali, Mohammad Ali
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Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry
FEBS Letters, EarlyView.EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri +5 more
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Bounds on the complex zeros of (Di)Chromatic polynomials and Potts-model partition functions [PDF]
, 2001 We show that there exist universal constants C(r) such that, for all loopless graphs G of maximum degree less than or equal to r, the zeros (real or complex) of the chromatic polynomial P-G(q) lie in the disc \q\ 7.963907r.
Sokal, AD
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