TY - JOUR
T1 - Integral and series representations of the Dirac delta function
AU - Li, Y. T.
AU - Wong, R.
PY - 2008/3
Y1 - 2008/3
N2 - Mathematical justifications are given for several integral and series representations of the Dirac delta function which appear in the physics literature. These include integrals of products of Airy functions, and of Coulomb wave functions; they also include series of products of Laguerre polynomials and of spherical harmonics. The methods used are essentially based on the asymptotic behavior of these special functions.
AB - Mathematical justifications are given for several integral and series representations of the Dirac delta function which appear in the physics literature. These include integrals of products of Airy functions, and of Coulomb wave functions; they also include series of products of Laguerre polynomials and of spherical harmonics. The methods used are essentially based on the asymptotic behavior of these special functions.
KW - Airy function
KW - Coulomb wave function
KW - Dirac delta function
KW - Laguerre polynomials
KW - Liouville-Green (WKB) approximation
KW - Spherical harmonics
UR - http://www.scopus.com/inward/record.url?scp=42149157665&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-42149157665&origin=recordpage
U2 - 10.3934/cpaa.2008.7.229
DO - 10.3934/cpaa.2008.7.229
M3 - RGC 21 - Publication in refereed journal
SN - 1534-0392
VL - 7
SP - 229
EP - 247
JO - Communications on Pure and Applied Analysis
JF - Communications on Pure and Applied Analysis
IS - 2
ER -