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1

An extended class of orthogonal polynomials defined by a Sturm–Liouville problem

David Gómez-Ullate, Niky Kamran, Robert Milson

Journal:

Journal of Mathematical Analysis and Applications

Year:

2009

Language:

english

File:

PDF, 237 KB

english, 2009

2

Structure theorems for linear and non-linear differential operators admitting invariant polynomial subspaces

Milson, Robert, Kamran, Niky, Gómez-Ullate, David

Journal:

Discrete and Continuous Dynamical Systems

Year:

2007

Language:

english

File:

PDF, 256 KB

english, 2007

3

A Bochner type characterization theorem for exceptional orthogonal polynomials

García-Ferrero, MaÁngeles, Gómez-Ullate, David, Milson, Robert

Journal:

Journal of Mathematical Analysis and Applications

Year:

2018

File:

PDF, 600 KB

2018

4

An extension of Bochner’s problem: Exceptional invariant subspaces

David Gómez-Ullate, Niky Kamran, Robert Milson

Journal:

Journal of Approximation Theory

Year:

2010

Language:

english

File:

PDF, 404 KB

english, 2010

5

Dynamical systems on infinitely sheeted Riemann surfaces

Yuri N. Fedorov, David Gómez-Ullate

Journal:

Physica D: Nonlinear Phenomena

Year:

2007

Language:

english

File:

PDF, 1.34 MB

english, 2007

6

Two-step Darboux transformations and exceptional Laguerre polynomials

David Gómez-Ullate, Niky Kamran, Robert Milson

Journal:

Journal of Mathematical Analysis and Applications

Year:

2012

Language:

english

File:

PDF, 155 KB

english, 2012

7

Asymptotic and interlacing properties of zeros of exceptional Jacobi and Laguerre polynomials

David Gómez-Ullate, Francisco Marcellán, Robert Milson

Journal:

Journal of Mathematical Analysis and Applications

Year:

2013

Language:

english

File:

PDF, 581 KB

english, 2013

8

Integrability and nonlinear phenomena

Gómez-Ullate, David, Lombardo, Sara, Mañas, Manuel, Mazzocco, Marta, Nijhoff, Frank, Sommacal, Matteo

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2010

Language:

english

File:

PDF, 202 KB

english, 2010

9

A Conjecture on Exceptional Orthogonal Polynomials

Gómez-Ullate, David, Kamran, Niky, Milson, Robert

Journal:

Foundations of Computational Mathematics

Year:

2013

Language:

english

File:

PDF, 1.36 MB

english, 2013

10

Scaling, stability and distribution of the high-frequency returns of the Ibex35 index

Suárez-García, Pablo, Gómez-Ullate, David

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2013

Language:

english

File:

PDF, 936 KB

english, 2013

11

Multifractality and long memory of a financial index

Suárez-García, Pablo, Gómez-Ullate, David

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2014

Language:

english

File:

PDF, 768 KB

english, 2014

12

Periods of the Goldfish Many-Body Problem

Gomez-Ullate, David, Sommacal, Matteo

Journal:

Journal of Nonlinear Mathematical Physics

Year:

2005

Language:

english

File:

PDF, 355 KB

english, 2005

13

Geometry-induced fluctuations of olfactory searches in bounded domains

Rodríguez, Juan Duque, Gómez-Ullate, David, Mejía-Monasterio, Carlos

Journal:

Physical Review E

Year:

2014

Language:

english

File:

PDF, 2.55 MB

english, 2014

14

Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials

Gómez-Ullate, David, Grandati, Yves, Milson, Robert

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2014

Language:

english

File:

PDF, 352 KB

english, 2014

15

Oscillation Theorems for the Wronskian of an Arbitrary Sequence of Eigenfunctions of Schrödinger’s Equation

García-Ferrero, MªÁngeles, Gómez-Ullate, David

Journal:

Letters in Mathematical Physics

Year:

2015

Language:

english

File:

PDF, 286 KB

english, 2015

16

Extended Krein-Adler theorem for the translationally shape invariant potentials

Gomez-Ullate, David, Grandati, Yves, Milson, Robert

Journal:

Journal of Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 376 KB

english, 2014

17

Asymptotically isochronous systems

Calogero, Francesco, Gómez-Ullate, David

Journal:

Journal of Nonlinear Mathematical Physics

Year:

2008

Language:

english

File:

PDF, 384 KB

english, 2008

18

On the performance of blind-infotaxis under inaccurate modeling of the environment

Juan Duque Rodríguez,David Gómez-Ullate…

Journal:

The European Physical Journal Special Topics

Year:

2017

Language:

english

File:

PDF, 589 KB

english, 2017

19

Shape invariance and equivalence relations for pseudo-Wronskians of Laguerre and Jacobi polynomials

Gómez-Ullate, David, Grandati, Yves, Milson, Robert

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2018

Language:

english

File:

PDF, 1.95 MB

english, 2018

20

Durfee Rectangles and Pseudo-Wronskian Equivalences for Hermite Polynomials

Gómez-Ullate, David, Grandati, Yves, Milson, Robert

Journal:

Studies in Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 481 KB

english, 2018

21

Corrigendum on the proof of completeness for exceptional Hermite polynomials

Gómez-Ullate, David, Grandati, Yves, Milson, Robert

Journal:

Journal of Approximation Theory

Year:

2019

File:

PDF, 270 KB

2019