Algebraic and spectral properties of some quasiorthogonal polynomials encountered in quantum radiation (original) (raw)

On the Krall-Hermite and the Krall-Bessel Polynomials

Alberto Grunbaum

International Mathematics Research Notices

View PDFchevron_right

Jacobi-Sobolev-type orthogonal polynomials: Second-order differential equation and zeros

J. Arvesú

Journal of Computational and Applied Mathematics, 1998

View PDFchevron_right

Orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics

Nicolae Cotfas

2003

View PDFchevron_right

On quasi-orthogonal polynomials: Their differential equations, discriminants and electrostatics

Mourad Ismail

Journal of Mathematical Analysis and Applications, 2019

View PDFchevron_right

Systems of orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics

Nicolae Cotfas

Central European Journal of Physics, 2004

View PDFchevron_right

The moments of the density of zeros for the relativistic hermite and Laguerre polynomials

Paolo Ricci

Computers & Mathematics with Applications, 1996

View PDFchevron_right

Complementary Romanovski-Routh polynomials: From orthogonal polynomials on the unit circle to Coulomb wave functions

Alagacone Sri Ranga

Proceedings of the American Mathematical Society, 2019

View PDFchevron_right

Efficient algorithms for construction of recurrence relations for the expansion and connection coefficients in series of quantum classical orthogonal polynomials

Hany Ahmed

Journal of Advanced Research, 2010

View PDFchevron_right

Hermite Polynomials in Quantum Harmonic Oscillator

Christos Aravanis

2010

View PDFchevron_right

Hydrogen atom and orthogonal polynomials

A. Zarzo

1991

View PDFchevron_right

Fourt-order differential equation satisfied by the associated of any order of all classical orthogonal polynomials. A study of their distribution of zeros

Eduardo Godoy

Journal of Computational and Applied Mathematics, 1993

View PDFchevron_right

On the families of orthogonal polynomials associated to the Razavy potential

Artemio Gonzalez-Lopez

Journal of Physics A: Mathematical and General, 1999

View PDFchevron_right

On an Energy-Dependent Quantum System with Solutions in Terms of a Class of Hypergeometric Para-Orthogonal Polynomials on the Unit Circle

Alagacone Sri Ranga

Mathematics, 2020

View PDFchevron_right

Sextic anharmonic oscillators and orthogonal polynomials

Nasser Saad

Journal of Physics A: Mathematical and General, 2006

View PDFchevron_right

Some Families of Complex Biorthogonal Polynomials in a Model of Non-Commutative Quantum Mechanics

Nurisya M. Shah

2014

View PDFchevron_right

Newton sum rules of zeros of semiclassical orthogonal polynomials

A. Zarzo

Journal of Computational and Applied Mathematics, 1990

View PDFchevron_right

2. Review of orthogonal polynomials

Anouar Ben Mabrouk

De Gruyter eBooks, 2017

View PDFchevron_right

Orthogonal polynomials associated with Coulomb wave functions

František Štampach

Journal of Mathematical Analysis and Applications, 2014

View PDFchevron_right

Exact quantization of the Milson potential via Romanovski-Routh polynomials

Gregory Grigory A Natanson Natanzon

View PDFchevron_right

The Diagonal General Case of the Laguerre-Sobolev Type Orthogonal Polynomials

Alejo Arceo

Revista Colombiana de Matemáticas, 2013

View PDFchevron_right

Fourth-order differential equations satisfied by the generalized co-recursive of all classical orthogonal polynomials. A study of their distribution of zeros

Eduardo Godoy

Journal of Computational and Applied Mathematics, 1995

View PDFchevron_right

Eigenvalue integrodifferential equations for orthogonal polynomials on the real line

Joshua Feinberg

Journal of Mathematical Physics, 1995

View PDFchevron_right

A New Class of Exceptional Orthogonal Polynomials: The Type III XmX_{m}Xm-Laguerre Polynomials And The Spectral Analysis of Three Types of Exceptional Laguerre Polynomials

Lance Littlejohn, R. Milson

View PDFchevron_right

Exactly Solvable Quantum Mechanical Potentials Associated with Romanovski Polynomials

Atreyee Biswas

2012

View PDFchevron_right

A Unified Approach to Computing the Zeros of Classical Orthogonal Polynomials

Ridha Moussa

2021

View PDFchevron_right

Orthogonal polynomials and singular Sturm-Liouville Systems, I

Lance Littlejohn

Rocky Mountain Journal of Mathematics, 1986

View PDFchevron_right

Orthogonal polynomials having a Lauricella function as contracted measure of zeros

A. Zarzo, J. Dehesa

View PDFchevron_right

A Laguerre Polynomial Orthogonality and the Hydrogen Atom

Charles Dunkl

Analysis and Applications, 2003

View PDFchevron_right

On the theory of biorthogonal polynomials

S. Nørsett

Transactions of the American Mathematical Society, 1988

View PDFchevron_right

On the Complex Zeros of Some Families of Orthogonal Polynomials

Eugenia Petropoulou

Abstract and Applied Analysis, 2010

View PDFchevron_right

New relations for two-dimensional Hermite polynomials

Viktor Dodonov

Journal of Mathematical Physics, 1994

View PDFchevron_right