Results 1 to 10 of about 160,837 (188)

On simple circular sets of absolute convergence for branched continued fractions of the special form

Karpatsʹkì Matematičnì Publìkacìï, 2012
The radii of the circles with center in origin of coordinates that are simple sets of absolute convergence for branched continued fractions of the special form have been investigated.
T.M. Antonova
doaj  

On approximation of some Lauricella-Saran's hypergeometric functions $F_M$ and their ratios by branched continued fractions

Математичні Студії
The paper considers the problem of approximating Lauricella-Saran's hypergeometric functions $F_M(a_1,a_2,b_1,b_2;a_1,c_2;z_1,z_2,z_3)$ by rational functions, which are approximants of branched continued fraction expansions - a special family functions ...
R. Dmytryshyn, I. Nyzhnyk
doaj   +1 more source

A New Approach to General Interpolation Formulae for Bivariate Interpolation

Abstract and Applied Analysis, 2014
General interpolation formulae for bivariate interpolation are established by introducing multiple parameters, which are extensions and improvements of those studied by Tan and Fang.
Le Zou, Shuo Tang
doaj   +1 more source

An approximation to Appell's hypergeometric function \(F_2\) by branched continued fraction

Dolomites Research Notes on Approximation
Summary: Appell's functions \(F_1\)-\(F_4\) turned out to be particularly useful in solving a variety of problems in both pure and applied mathematics. In literature, there have been published a significant number of interesting and useful results on these functions. In this paper, we prove that the branched continued fraction, which is an expansion of
Antonova, Tamara, Cesarano, Clemente, Dmytryshyn, Roman, Sharyn, Serhii   +3 more
openaire   +1 more source

A New Algorithm to Approximate Bivariate Matrix Function via Newton-Thiele Type Formula

Journal of Applied Mathematics, 2013
A new method for computing the approximation of bivariate matrix function is introduced. It uses the construction of bivariate Newton-Thiele type matrix rational interpolants on a rectangular grid. The rational interpolant is of the form motivated by Tan
Rongrong Cui, Chuanqing Gu
doaj   +1 more source

Symmetric union presentations for 2-bridge ribbon knots

, 2006
Symmetric unions have been defined as generalizations of Kinoshita-Terasaka's construction in 1957. They are given by diagrams which look like the connected sum of a knot and its mirror image with additional twist tangles inserted near the symmetry axis.
Lamm, Christoph
core  

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

On Analytical Extension of Generalized Hypergeometric Function ₃F₂

Axioms
The paper considers the generalized hypergeometric function F23, which is important in various fields of mathematics, physics, and economics. The method is used, according to which the domains of the analytical continuation of the special functions are ...
Roman Dmytryshyn, Volodymyra Oleksyn
doaj   +1 more source

On the Domain of Analytical Continuation of the Ratios of Generalized Hypergeometric Functions ₃F₂

Axioms
The paper considers the problem of the analytical extension of the ratios of generalized hypergeometric functions F23 A new domain of analytic continuation for these ratios under certain conditions to parameters is established.
Roman Dmytryshyn, Marta Dmytryshyn, Sofiia Hladun   +2 more
doaj   +1 more source

Representation of Special Functions by Multidimensional A- and J-Fractions with Independent Variables

Fractal and Fractional
The paper deals with the problem of representing special functions by branched continued fractions, particularly multidimensional A- and J-fractions with independent variables, which are generalizations of associated continued fractions and Jacobi ...
Roman Dmytryshyn, Serhii Sharyn
doaj   +1 more source