The factorization of the hypergeometric equation
History and Philosophy of Physics
2007-05-23 v1
Authors:
Erwin Schroedinger
Abstract
Schroedinger's famous quadruple of factorizations of the hypergeometric equation is archived here
Cite
@article{arxiv.physics/9910003,
title = {The factorization of the hypergeometric equation},
author = {Erwin Schroedinger},
journal= {arXiv preprint arXiv:physics/9910003},
year = {2007}
}
Comments
2 pages, LaTexed by H.C. Rosu
Related papers
View all related →
Rings and Algebras · Mathematics
Quadratic Split Quaternion Polynomials: Factorization and Geometry
Daniel F. Scharler, Johannes Siegele, Hans-Peter Schröcker
2020-08-27
Mathematical Physics · Physics
Generalized Version of the Creation and Annihilation Operators for the Schr\"odinger Equation
L. C. N. Santos, C. C. Barros
2017-01-31
Classical Analysis and ODEs · Mathematics
An Extended k-type Hypergeometric Functions
Praveen Agarwal, Mohamed Jleli
2017-05-18
Quantum Physics · Physics
Factorization Properties of Finite Spaces
B Simkhovich, A Mann, J Zak
2010-02-09
Number Theory · Mathematics
A matrix version of Dwork's congruences
Frits Beukers
2020-05-05
Quantum Physics · Physics
Physical sectors of the confluent hypergeometric functions space
O. Rosas-Ortiz, J. Negro, L. M. Nieto
2007-05-23
History and Philosophy of Physics · Physics
Study of the one-dimensional Schroedinger equation generated from the hypergeometric equation
G. A. Natanzon
2007-05-23
Classical Analysis and ODEs · Mathematics
Some extended hypergeometric matrix functions and their fractional calculus
Ashish Verma, Ravi Dwivedi, Vivek Sahai
2020-11-03
Mathematical Physics · Physics
On a polynomial transformation of hypergeometric equations, Heun's differential equation and exceptional Jacobi polynomials
Mahouton Norbert Hounkonnou, André Ronveaux
2013-06-21
Metric Geometry · Mathematics
The Geometry of Quadratic Quaternion Polynomials in Euclidean and Non-Euclidean Planes
Zijia Li, Josef Schicho, Hans-Peter Schröcker
2018-05-10
Complex Variables · Mathematics
Factorization of the Schr\"{o}dinger Operator and the Riccati Equation in the Clifford Analysis Setting
Nele De Schepper, Dixan Peña Peña
2010-01-26
High Energy Physics - Theory · Physics
The factorization method, self-similar potentials and quantum algebras
V. P. Spiridonov
2007-05-23
Classical Analysis and ODEs · Mathematics
On a problem of Koornwinder
Wolfram Koepf
2008-02-03
Rings and Algebras · Mathematics
Quaternions In Three Dimensions
Bob Palais
2010-12-13
High Energy Physics - Theory · Physics
3_F_2(1) hypergeometric function and quadratic R-matrix algebra
Vadim B. Kuznetsov
2008-02-03
Combinatorics · Mathematics
Factorization of Basic Hypergeometric Series
Jonathan G. Bradley-Thrush
2025-07-08
Mathematical Physics · Physics
Quaternionic factorization of the Schroedinger operator and its applications to some first order systems of mathematical physics
Viktor G. Kravchenko, Vladislav V. Kravchenko
2009-11-10
Mathematical Physics · Physics
Factorization for the full-line matrix Schr\"odinger equation and a unitary transformation to the half-line scattering
Tuncay Aktosun, Ricardo Weder
2023-04-06
Rings and Algebras · Mathematics
The Factorization of Braided Hopf Algebras
Shouchuan Zhang, Yange Xu
2007-05-23
Quantum Physics · Physics
Cartesian operator factorization method for Hydrogen
Xinliang Lyu, Christina Daniel, James K. Freericks
2022-01-28
Symbolic Computation · Computer Science
Factorization and root-finding for polynomials over division quaternion algebras
Przemysław Koprowski
2023-05-04
Classical Analysis and ODEs · Mathematics
Power majorization between the roots of two polynomials
Minghua Lin, Gord Sinnamon
2022-01-20
Quantum Physics · Physics
Orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics
Nicolae Cotfas
2009-11-10
Mathematical Physics · Physics
Hypergeometric type operators and their supersymmetric partners
Nicolae Cotfas, Liviu Adrian Cotfas
2012-04-19
Mathematical Physics · Physics
Exactly solvable Schr\"odinger operators
Jan Dereziński, Michał Wrochna
2011-08-16