Solutions of the wave equation in parabolic rotary coordinates. III. Spatiotemporal wave packets of Kummer--Kummer and Tricomi--Kummer with the continuous angular index
Problemy fiziki, matematiki i tehniki, no. 1 (2021), pp. 13-18

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Analytical expressions in the closed form for spatiotemporal wave packets of Kummer–Kummer and Tricomi–Kummer with continuous angular index $m$ in parabolic rotary coordinates are offered and analyzed. Physical restrictions on possible values of free parameters of such modes that they transfer finite power are formulated.
Keywords: spatiotemporal wave packets, parabolic rotary coordinates, modes Kummer–Kummer
Mots-clés : modes Tricomi–Kummer.
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     author = {S. S. Girgel},
     title = {Solutions of the wave equation in parabolic rotary coordinates. {III.} {Spatiotemporal} wave packets of {Kummer--Kummer} and {Tricomi--Kummer} with the continuous angular index},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {13--18},
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     number = {1},
     year = {2021},
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     url = {http://geodesic.mathdoc.fr/item/PFMT_2021_1_a1/}
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S. S. Girgel. Solutions of the wave equation in parabolic rotary coordinates. III. Spatiotemporal wave packets of Kummer--Kummer and Tricomi--Kummer with the continuous angular index. Problemy fiziki, matematiki i tehniki, no. 1 (2021), pp. 13-18. http://geodesic.mathdoc.fr/item/PFMT_2021_1_a1/