A q-linear analogue of the plane wave expansion (original) (raw)
Related papers
The Modified q-Bessel Functions and the q-Bessel-Macdonald Functions
A determinant approach to q-Bessel polynomials and applications
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018
Ramaswamy Jagannathan, Ranabir Chakrabarti
Journal of Physics A: Mathematical and General, 2006
Integral and series representations of q-polynomials and functions: Part I
Analysis and Applications, 2018
Quantum Algebra ε(2) and 2D q-Bessel Functions
Reports on Mathematical Physics, 2019
Bilinear biorthogonal expansions and the spectrum of an integral operator
2009
Numerical Algorithms, 2000
Connection relations and expansions
Pacific Journal of Mathematics, 2011
Expansion of analytic functions in q-orthogonal polynomials
The Ramanujan Journal, 2009
Theq-harmonic oscillator and the Al-Salam and Carlitz polynomials
Letters in Mathematical Physics, 1993
From q-analytic functions to double q-analytic Hermite binomials and q-traveling waves
Journal of Physics: Conference Series, 2016
Mathematics
The generalized Marcum Q−Q-Q−function: an orthogonal polynomial approach
2010
Astrophysics and Space Science, 1988
An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2011
2022
Generalized q-Bernoulli Polynomials Generated by Jackson q-Bessel Functions
Results in Mathematics
Journal of Advanced Research, 2010
4 A q-HANKEL TRANSFORM ASSOCIATED TO THE QUANTUM
2016
The q-harmonic oscillator and an analogue of the Charlier polynomials
Journal of Physics A: Mathematical and General, 1993
q-Hermite Polynomials and Classical Orthogonal Polynomials
Canadian Journal of Mathematics, 1996
Bivariate q-Laguerre-Appell polynomials and their applications
Applied Mathematics in Science and Engineering, 2024
q-Beta Polynomials and their Applications
Applied Mathematics & Information Sciences, 2013
Bessel equation and Bessel function on mathbbT(q,h)\mathbb{T}_{(q,h)}mathbbT(q,h)
Turkish Journal of Mathematics, 2022
New addition formula for the little qqq-Bessel functions
2013
On some 2D orthogonal q-polynomials
2014
ON THE AL-SALAM AND VERMA ORTHOGONAL q-POLYNOMIALS
$q$-Hermite polynomials and classical orthogonal polynomials
Canadian Journal of Mathematics, 1996
(p, q)-Extended Bessel and Modified Bessel Functions of the First Kind
Results in Mathematics, 2017
The Plane Wave Expansion, Infinite Integrals and Identities involving Spherical Bessel Functions
2011
Radiation Physics and Chemistry, 2000
On integral representations of q-gamma and q-beta functions
Arxiv preprint math/0302032, 2003
Novel Properties of q-Sine-Based and q-Cosine-Based q-Fubini Polynomials
Symmetry
Some Useful Collective Properties of Bessel, Marcum Q-Functions and Laguerre Polynomials
Cornell University - arXiv, 2022