• Search: "rational functions"

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1

Exact integration for singular Zienkiewicz and Guzmán–Neilan finite elements with implementation
Diening, Lars ; Storn, Johannes ; Tscherpel, Tabea
Computers & Mathematics with Applications. 191:60-85

MATLAB Quadrature Rational functions Numerical Analysis (math... Conforming finite elemen... Structure preservation …
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2

Univariate constrained recurrent rational fractal interpolation
Mahipal Reddy, K. ; Rajesh, L.
The Journal of Analysis. :1-30

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3

Constructing Sobolev orthonormal rational functions via an updating procedure
Faghih, Amin ; Van Barel, Marc ; Van Buggenhout, Niel ; et al.
Numerical Algorithms. 100(4):1837-1865

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4

Optimal polynomial approximation to rational matrix functions using the Arnoldi algorithm
Chen, Tyler ; Greenbaum, Anne ; Wellen, Natalie
Numerical Algorithms. 100(4):1657-1678

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5

Orbits Inside Fatou Sets
Fornaess, John Erik ; Hu, Mi
Acta Mathematica Sinica, English Series. :1-10

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6

On the representability of sequences as constant terms
Bostan, Alin ; Straub, Armin ; Yurkevich, Sergey ; et al.
Journal of Number Theory. 253:235-256

Integer sequences C-finite sequences hypergeometric sequences constant term sequences P-recursive sequences Laurent polynomials …
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7

Time-Domain Iterative Rational Krylov Method: Time-domain iterative rational Krylov method
Michael S. Ackermann ; Serkan Gugercin
SIAM Journal on Scientific Computing. 47:A1628-A1651

data informativity optimal data-driven mode... Numerical linear algebra eigenvalues rational interpolation Numerical Analysis (math... …
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8

The converse of the Cowling–Obrechkoff–Thron theorem: The converse of the Cowling-Obrechkoff-Thron theorem
Munger, Devon N. ; Paparella, Pietro
Involve, a Journal of Mathematics. 18:473-478

Mathematics - Spectral T... Rings and Algebras (math... Zeros of polynomials, ra... 30C15, 26C10, 15A42 eigenvalue inequality FOS: Mathematics …
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9

Frequency-Based Reduced Models from Purely Time-Domain Data via Data Informativity: Frequency-based reduced models from purely time-domain data via data informativity
Michael S. Ackermann ; Serkan Gugercin
SIAM Journal on Scientific Computing. 47:A1225-A1250

data informativity Numerical linear algebra moment matching rational interpolation Numerical Analysis (math... Approximation methods an... …
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10

Inequalities of Turán Type for the Polar Derivative of a Polynomial: Inequalities of Turán type for the polar derivative of a polynomial
Mir, A. ; Bhat, A. H. ; Thoker, W. A.
Siberian Mathematical Journal. 66:168-176

polar derivative polynomials Polynomials and rational... Zeros of polynomials, ra... zeros Inequalities in the comp... …
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11

Moment duality for orthogonal polynomials
Ismail, Mourad E. H. ; Stanton, Dennis
The Ramanujan Journal: An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan. 68(2)

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12

On the analytical continuation of the ratio $H_4(\alpha,\delta+1;\gamma,\delta;-\mathbf{z})/H_4(\alpha,\delta+2;\gamma,\delta+1;-\mathbf{z})$
R. Dmytryshyn ; C. Cesarano ; I.-A. Lutsiv
Researches in Mathematics, Vol 33, Iss 2, Pp 65-76 (2025)

hypergeometric function branched continued fract... analytic function approximation by rationa... convergence analytic continuation …
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13

Solving singular integral equations with orthogonal rational functions
Beckermann, Bernhard ; Matos, Ana, C ; Laboratoire Paul Painlevé - UMR 8524 (LPP) ; et al.

equilibrium problems sin... equilibrium problems singular integral equati... orthogonal rational func... spectral methods [MATH.MATH-NA]Mathematic... …
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14

On branched continued fraction expansions of hypergeometric functions \(F_M\) and their ratios
Ivan Nyzhnyk ; Roman Dmytryshyn ; Tamara Antonova
Modern Mathematical Methods, Vol 3, Iss 1 (2025)

recurrence relation branched continued fract... QA1-939 approximation by rationa... hypergeometric function Mathematics
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15

The enriched multinode Shepard collocation method for solving elliptic problems with singularities
Dell'Accio F. ; Di Tommaso F. ; Francomano E.
Applied Numerical Mathematics. 205:87-100

Laplace operator, Helmho... approximation by rationa... multinode Shepard method Elliptic PDEs elliptic PDEs Asymptotic expansions of... …
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16

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17

Application of rational functions in primary and secondary thermometry
Kytin, V. G. ; Potapov, B. G. ; Petukhov, A. A. ; et al.
Measurement Techniques. :1-9

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18

A priori bounds for truncation error of branched continued fraction expansions of Horn's hypergeometric functions $H_4$ and their ratios
R.I. Dmytryshyn ; C. Cesarano ; M. Dmytryshyn ; et al.
Researches in Mathematics, Vol 33, Iss 1, Pp 13-22 (2025)

hypergeometric function branched continued fract... analytic functions approximation by rationa... convergence rate of convergence …
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19

Complex Polynomials and Tessellations in the Riemann Sphere
González–Cely, Leidy J. ; Muciño–Raymundo, Jesús
Results in Mathematics: Resultate der Mathematik. 80(5)

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20

Shape preserving aspects of a novel class of bi-cubic partially blended rational zipper fractal interpolation surfaces
null Vijay ; A. K. B. Chand
The Journal of Analysis. 32:3475-3505

Approximation by rationa... Fractals blending functions fractals rational cubic spline Numerical smoothing, cur... …
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