Geodesic
Family of Bessel operator functions
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 187 (2020), pp. 36-43

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A family of Bessel operator functions and a generator of this family are introduced and considered. Their properties are studied, a criterion of the uniform well-posedness of the Cauchy problem for the Euler–Poisson–Darboux equation is obtained, and the connections of this family with a series of other solving operators are found.
Keywords: Bessel operator function, generator, Cauchy problem, uniform well-posedness criterion.
Mots-clés : Euler–Poisson–Darboux equation 
@article{INTO_2020_187_a4,
     author = {A. V. Glushak},
     title = {Family of {Bessel} operator functions},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {36--43},
     publisher = {mathdoc},
     volume = {187},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_187_a4/}
}
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A. V. Glushak. Family of Bessel operator functions. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 187 (2020), pp. 36-43. http://geodesic.mathdoc.fr/item/INTO_2020_187_a4/