Geodesic
Representations of Bessel functions via the Maslov canonical operator
Teoretičeskaâ i matematičeskaâ fizika, Tome 208 (2021) no. 2, pp. 196-217

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We illustrate the construction and application of the Maslov canonical operator with examples of Bessel functions. For real values of the argument, we derive representations of these functions in terms of a canonical operator and, as a consequence, obtain the well-known asymptotics.
Keywords: semiclassical asymptotics, WKB approximation, canonical operator, Bessel function. 
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     author = {S. Yu. Dobrokhotov and D. S. Minenkov and V. E. Nazaikinskii},
     title = {Representations of {Bessel} functions via the {Maslov} canonical operator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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S. Yu. Dobrokhotov; D. S. Minenkov; V. E. Nazaikinskii. Representations of Bessel functions via the Maslov canonical operator. Teoretičeskaâ i matematičeskaâ fizika, Tome 208 (2021) no. 2, pp. 196-217. http://geodesic.mathdoc.fr/item/TMF_2021_208_2_a2/