Geodesic
Generating functions of the focus wave modes Bessel--Gauss type
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 31, Tome 285 (2002), pp. 53-57

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Applying Bateman's transform to expansions of the plane and spherical waves in terms of the simple solutions to the wave equation we get the localized waves of Bessel-Gauss type. Generating functions of the waves are obtained too. 
@article{ZNSL_2002_285_a4,
     author = {V. V. Borisov},
     title = {Generating functions of the focus wave modes {Bessel--Gauss} type},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {53--57},
     publisher = {mathdoc},
     volume = {285},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_285_a4/}
}
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V. V. Borisov. Generating functions of the focus wave modes Bessel--Gauss type. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 31, Tome 285 (2002), pp. 53-57. http://geodesic.mathdoc.fr/item/ZNSL_2002_285_a4/