The Hahn polynomials in the nonrelativistic and relativistic Coulomb problems
From MaRDI portal
Publication:3544577
DOI10.1063/1.2830804zbMath1153.81440arXiv0707.1887OpenAlexW3099240791MaRDI QIDQ3544577
Sergei K. Suslov, Benjamin Trey
Publication date: 8 December 2008
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0707.1887
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Atomic physics (81V45)
Related Items (max. 100)
Time reversal for modified oscillators ⋮ An Introduction to Special Functions with Some Applications to Quantum Mechanics ⋮ The moments of the hydrogen atom by the method of brackets ⋮ Linearization and Krein-like functionals of hypergeometric orthogonal polynomials ⋮ Propagator of a charged particle with a spin in uniform magnetic and perpendicular electric fields ⋮ Asymptotic approximations of the continuous Hahn polynomials and their zeros ⋮ Relativistic Coulomb Integrals and Zeilberger’s Holonomic Systems Approach. I ⋮ EFFECTS OF NONCOMMUTATIVITY ON LIGHT HYDROGEN-LIKE ATOMS AND PROTON RADIUS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bernoulli and Euler numbers and orthogonal polynomials
- The polynomial \(F_n(x)\)
- On the degeneracy of the Kepler problem
- Nombres Exponentiels Et Nombres De Bernoulli
- On Some Polynomials Of Touchard
- Some Polynomials of Touchard Connected with the Bernoulli Numbers
- On Touchard Polynomials
- The Hahn and Meixner polynomials of an imaginary argument and some of their applications
- Continuous Hahn polynomials
- A Non-Negative Representation of the Linearization Coefficients of the Product of Jacobi Polynomials
- The Linearization of the Product of Continuous q-Jacobi Polynomials
- Some Hypergeometric Orthogonal Polynomials
- Quantum Theory of Radiation
- The theory of difference analogues of special functions of hypergeometric type
- Functions Orthogonal in the Hermitian Sense. A New Application of Basic Numbers
- On Jacobi and continuous Hahn polynomials
- On the Mean Value of r s for Keplerian Systems
- A Note on the Wave Functions of the Relativistic Hydrogenic Atom
- An Orthogonal Property of the Hypergeometric Polynomial
This page was built for publication: The Hahn polynomials in the nonrelativistic and relativistic Coulomb problems