Results 41 to 50 of about 156,857 (312)

Necessary and Sufficient Conditions for the Existence of Rational Solutions to Homogeneous Difference Equations with Constant Coefficients

open access: yesИзвестия Иркутского государственного университета: Серия "Математика"
A necessary and a sufficient condition for solvability of homogeneous difference equations with constant coefficients in the class of rational functions are obtained. The necessary condition is a restriction on the Newton polyhedron of the characteristic
P. V. Trishin
doaj   +1 more source

Functions in the space R2(E) at boundary points of the interior

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1983
Let E be a compact subset of the complex plane ℂ. We denote by R(E) the algebra consisting of (the restrictions to E of) rational functions with poles off E. Let m denote 2-dimensional Lebesgue measure.
Edwin Wolf
doaj   +1 more source

On the Accuracy of Some Absorbing Boundary Conditions for the Schrodinger Equation

open access: yesMathematical Modelling and Analysis, 2017
A detailed analysis of absorbing boundary conditions for the linear Schrodinger equation is presented in this paper. It is focused on absorbing boundary conditions that are obtained by using rational functions to approximate the exact transparent ...
Andrej Bugajev   +4 more
doaj   +1 more source

GENERALIZATIONS OF CERTAIN WELL-KNOWN INEQUALITIES FOR RATIONAL FUNCTIONS

open access: yesПроблемы анализа, 2022
In this paper we generalize and refine a result of Wali and Shah concerning the estimate of the derivative of the maximum modulus of rational functions with prescribed poles and restricted zeros.
M. Y. Mir, S. L. Wali, W. M. Shah
doaj   +1 more source

Operator-valued rational functions [PDF]

open access: yes, 2022
We show that every inner divisor of the operator-valued coordinate function, zI(E), is a Blaschke-Potapov factor. We also introduce a notion of operator-valued "rational " function and then show that delta is two-sided inner and rational if and
Curto, Raul E.   +2 more
core   +1 more source

Smoothness properties of functions in R2(x) at certain boundary points

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1979
Let X be a compact subset of the complex plane ℂ. We denote by R0(X) the algebra consisting of the (restrictions to X of) rational functions with poles off X. Let m denote 2-dimensional Lebesgue measure. For p≥1, let Rp(X) be the closure of R0(X) in Lp(X,
Edwin Wolf
doaj   +1 more source

Rational Variance Functions

open access: yesThe Annals of Statistics, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bar-Lev, Shaul K., Bshouty, Daoud
openaire   +3 more sources

Rational Use of Herbal Products in Pediatric Patients Treated With Anticancer Drugs in the European Union

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction The use of herbal medical preparation (HMP) is rising among pediatric oncology patients, often to manage treatment‐related symptoms. Their effectiveness remains uncertain, and the risk of herb–drug interactions is underestimated.
Orianne Mahot   +6 more
wiley   +1 more source

Preperiodic points for rational functions defined over a rational function field of characteristic zero [PDF]

open access: yes, 2015
Let k be an algebraically closed field of characteristic zero. Let K be the rational function field K=k(t). Let ϕ be a nonisotrivial rational function in K(z).
Canci, Jung Kyu
core  

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