Results 21 to 30 of about 10,186 (263)

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

Association Between Dinutuximab Beta Exposure and Post‐End‐of‐Treatment Survival in Neuroblastoma: A Weighted Patient‐Level Analysis of Three Clinical Studies

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Objectives The association between exposure to dinutuximab beta (DB) and event‐free survival (EFS) or overall survival (OS) of neuroblastoma patients was assessed using data collected during three clinical trials (five cohorts). Methods A systematic review (March 2026) was conducted to identify relevant studies (prospective; registered DB ...
Przemysław Holko, Holger N. Lode, Alberto Garaventa, Carla Manzitti, Roberto Luksch, Dominique Valteau‐Couanet, Marion Gambart, John Anderson, Juliet Gray, Adela Canete, Lucas Moreno, Aleksandra Wieczorek, Cormac Owens, Shifra Ash, Isaac Yaniv, Genevieve Laureys, Hans Loibner, Katarzyna Śladowska, Ruth Ladenstein, Paweł Kawalec   +19 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

Childhood Acute Lymphoblastic Leukemia Survival in Western Kenya: Reduction in Early Deaths and Treatment Abandonment

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background An earlier study on children diagnosed with acute lymphoblastic leukemia (ALL) at Moi Teaching and Referral Hospital (MTRH) in Kenya reported a low event‐free survival (EFS), excess treatment abandonment, and high induction mortality.
Gilbert Olbara, George Bogonko, Festus Njuguna, Sandra Langat, Martha Kipngetich, Dennis Njenga, Gertjan Johannes Kaspers, Terry Allen Vik   +7 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

Consensus Standards and Recommendations for Developmental and Cognitive Surveillance, Screening, and Evaluation in Sickle Cell Disease: Executive Summary From the National Alliance of Sickle Cell Centers Neurocognitive Workgroup

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Neurodevelopmental and neurocognitive difficulties are prevalent among individuals with sickle cell disease and warrant prompt identification and support. This Special Report provides an executive summary of standards and recommendations for surveillance, screening, and evaluation for development and cognition across the lifespan developed by ...
Alyssa M. Schlenz, Donna Murdaugh, Andrew M. Heitzer, Jennifer N. Longoria, Wendy Santos‐Modesitt, Arianna Martin, Judy Cavazos, Jeff Schatz, Catherine R. Hoyt, Alison King, Eboni I. Lance, Steven Hardy, Marsha Treadwell   +12 more
wiley   +1 more source

Novel Computer Software for Interpolation and Approximation of Ravine and Stiff Digital Dependencies Using Root-Polynomoal and Root-Fractional-Rational Functions

Proceedings of the International Conference on Applied Innovations in IT
The article considers the possibilities of solving interpolation and approximation problems using special types of functions, such as root polynomials and root fractional rational, and provides relevant examples.
Igor Melnyk, Mykhailo Skrypka, Alina Pochynok, Olga Demyanchenko   +3 more
doaj   +1 more source