A remark on the matrix Airy function
Mathematical Physics
2015-06-26 v1 math.MP
Authors:
A. M. Perelomov
Abstract
An integral representation for matrix Airy function is presented
Cite
@article{arxiv.math-ph/0112021,
title = {A remark on the matrix Airy function},
author = {A. M. Perelomov},
journal= {arXiv preprint arXiv:math-ph/0112021},
year = {2015}
}
Comments
4 pages
Related papers
View all related →
Mathematical Physics · Physics
More integrals of products of Airy functions
Francisco M. Fernández
2009-11-13
Probability · Mathematics
A System of Differential Equations for the Airy Process
Craig A. Tracy, Harold Widom
2007-05-23
Mathematical Physics · Physics
Airy Functions for Compact Lie Groups
Rahul N. Fernandez, V. S. Varadarajan
2007-07-24
Number Theory · Mathematics
Integral Representations of Riemann auxiliary function
Juan Arias de Reyna
2024-07-03
Quantum Physics · Physics
Integral representations for products of two solutions of the Airy equation with shifted arguments and their applications in physics
K. V. Bazarov, O. I. Tolstikhin
2024-04-02
Classical Analysis and ODEs · Mathematics
Integrals containing the logarithm of the Airy Function Ai'(x)
Bernard J. Laurenzi
2018-01-01
Complex Variables · Mathematics
Contour integral solutions of linear differential equations which include a generalization of the Airy integral
Gary G. Gundersen, Janne M. Heittokangas, Zhi-Tao Wen
2020-09-18
Complex Variables · Mathematics
Rational Matrix-Valued Pick Functions of Several Variables
M. F. Bessmertnyi
2021-11-30
Mathematical Physics · Physics
Generalization of the Airy function and the operational methods
D. Babusci, G. Dattoli, D. Sacchetti
2010-08-10
Classical Analysis and ODEs · Mathematics
Higher Derivatives of Airy Functions and of their Products
Eugeny G. Abramochkin, Evgeniya V. Razueva
2018-05-08
Numerical Analysis · Mathematics
On Non-Oscillating Integrals for Computing Inhomogeneous Airy Functions
Amparo Gil, Javier Segura, Nico M. Temme
2025-10-20
Mathematical Physics · Physics
On the relation between Airy integral and Bessel functions revisited
Mehdi Tabrizi, Ebrahim Maleki Harsini
2016-05-12
Classical Analysis and ODEs · Mathematics
Integral and Series Representations of the Dirac Delta Function
Y. T. Li, R. Wong
2013-03-11
Numerical Analysis · Mathematics
Remarks on the Cayley Representation of Orthogonal Matrices and on Perturbing the Diagonal of a Matrix to Make it Invertible
Jean Gallier
2013-11-12
Analysis of PDEs · Mathematics
Asymptotics of the convolution of the Airy function and a function of the power-like behavior
Sergei V. Zakharov
2015-11-11
General Mathematics · Mathematics
On incomplete exponential $\;_{r}R_{s}(P,Q,z)$ matrix function
Ayman Shehata, Ghazi S. Khammsh, Ajay K. Shukla, Shimaa I. Moustafa
2023-08-22
Symbolic Computation · Computer Science
Multiple precision evaluation of the Airy Ai function with reduced cancellation
Sylvain Chevillard, Marc Mezzarobba
2013-04-30
Classical Analysis and ODEs · Mathematics
Integral representations for a generalized Hermite linear functional
R. S. Costas-Santos
2023-07-25
Mathematical Physics · Physics
A Higher Order Non--Linear Differential Equation and a Generalization of the Airy Function
Kazuyuki Fujii
2014-09-23
Numerical Analysis · Mathematics
Computing the Reciprocal of a $\phi$-function by Rational Approximation
Paola Boito, Yuli Eidelman, Luca Gemignani
2021-05-18
General Mathematics · Mathematics
Matrix exponentials
Pierre-Yves Gaillard
2007-05-23
Probability · Mathematics
General Airy-type equations, heat-type equations and pseudo-processes
Fabrizio Cinque, Enzo Orsingher
2024-10-11
Number Theory · Mathematics
An integral representation for $\zeta(4)$
Jean-Christophe Pain
2023-09-04
Classical Analysis and ODEs · Mathematics
Integrals of products of four modified Bessel functions
Robert E. Gaunt
2026-01-21
Mathematical Physics · Physics
Logarithmic Integrals of Airy Functions
Bernard J. Laurenzi
2012-11-06