Results 41 to 50 of about 57,073,214 (327)

Analytic approximate eigenvalues by a new technique. Application to sextic anharmonic potentials

Results in Physics, 2018
A new technique to obtain analytic approximant for eigenvalues is presented here by a simultaneous use of power series and asymptotic expansions is presented.
D. Diaz Almeida, P. Martin
doaj   +1 more source

Numerical stability of the branched continued fraction expansion of Horn's hypergeometric function $H_4$

Математичні Студії
In this paper, we consider some numerical aspects of branched continued fractions as special families of functions to represent and expand analytical functions of several complex variables, including generalizations of hypergeometric functions.
R. Dmytryshyn, C. Cesarano, I.-A. Lutsiv, M. Dmytryshyn   +3 more
doaj   +1 more source

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

Mathematical 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, Raimondas Čiegis, Rima Kriauzienė, Teresė Leonavičienė, Julius Žilinskas   +4 more
doaj   +1 more source

Orthogonal rational functions and modified approximants [PDF]

Numerical Algorithms, 1996
This paper studies certain rational approximants to the function \[ F_\mu(z)= \int^\pi_{- \pi} {t+ z\over t- z} d\mu(\theta),\quad(t= e^{i\theta}), \] where \(\mu\) is a positive Borel measure on the unit circle in the complex plane. These approximants are constructed in terms of orthogonal rational functions with fixed poles. In fact, given a sequence
Bultheel, A., Gonzalez-Vera, P., Hendriksen, E., Njastad, O.   +3 more
openaire   +3 more sources

The Impact of the COVID‐19 Pandemic on Childhood Cancer Survival: A Population‐Based Assessment of Survival Patterns Between 2015 and 2023 in Germany

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Numerous international studies have reported declines in new cancer diagnoses, delayed diagnoses and disruptions in cancer treatment following the implementation of COVID‐19 pandemic public health measures, raising concerns that these effects may ultimately contribute to increased cancer mortality.
Friederike Erdmann, Maike Wellbrock, Javier Louro, Arndt Borkhardt, Martin Schrappe, Claudia Trübenbach, Desiree Grabow, Cécile M. Ronckers, Joachim Schüz   +8 more
wiley   +1 more source

On Analytical Continuation of the Horn’s Hypergeometric Functions H₃ and Their Ratios

Axioms
This paper considers the Horn’s hypergeometric function H3, which is closely related to other hypergeometric functions and has various mathematical or physical applications.
Roman Dmytryshyn, Tamara Antonova, Sofiia Hladun   +2 more
doaj   +1 more source

Rational approximations to the zeta function [PDF]

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2019
This article describes a sequence of rational functions which converges locally uniformly to ζ . The numerators (and denominators) of these rational functions can be expressed as characteristic polynomials of matrices that are on the face of it very simple.
openaire   +4 more sources

Effectiveness of Resistance Intradialytic Exercise Compared to Aerobic Intradialytic Exercise for Patients With Chronic Kidney Disease: A Randomized Controlled Clinical Trial

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background Patients with chronic kidney disease undergoing hemodialysis commonly experience reduced physical function, fatigue, poor sleep quality, and impaired health‐related quality of life. Intradialytic exercise has been proposed as a non‐pharmacological strategy to improve these outcomes.
Klebson da Silva Almeida, Gisela Cristiane Miyamoto, Daniel da Costa Torres, Ian Setubal Reis Chaves, Jonas do Carmo Paschoalin, Braúlio Lima Nascimento, Luciana Dias Chiavegato   +6 more
wiley   +1 more source

On the numerical stability of the branched continued fraction expansion of the ratio $H_4(a,d+1;c,d;\mathbf{z})/H_4(a,d+2;c,d+1;\mathbf{z})$

Математичні Студії
Continued fractions and their generalization, branched continued fractions, are the effective tools used to study special functions. In this aspect, an important problem of continued fractions and branched continued fractions is the study of their ...
M. V. Dmytryshyn, C. Cesarano, O. Kondur, I.-A. Lutsiv   +3 more
doaj   +1 more source

ON APPROXIMATION OF THE RATIONAL FUNCTIONS, WHOSE INTEGRAL IS SINGLE-VALUED ON C, BY DIFFERENCES OF SIMPLEST FRACTIONS

Проблемы анализа, 2018
We study a uniform approximation by differences Θ1 - Θ2 of simplest fractions (s.f.’s), i. e., by logarithmic derivatives of rational functions on continua K of the class Ωr, r > 0 (i.
Komarov M . A .
doaj   +1 more source