Geodesic
On a~weighted boundary value problem in an infinite half-strip for a~biaxisymmetric Helmholtz equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2013), pp. 3-12

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We study a boundary value problem for a generalized biaxisymmetric Helmholtz equation. Boundary conditions in this problem depend on equation parameters. By the variable separation method, using the Fourier–Bessel series expansion and the Hankel transform, we prove the unique solvability of the problem and establish explicit formulas for the solution.
Keywords: Helmholz equation, Fourier–Bessel series, Hankel transformation, Bessel functions. 
@article{IVM_2013_6_a0,
     author = {A. A. Abashkin},
     title = {On a~weighted boundary value problem in an infinite half-strip for a~biaxisymmetric {Helmholtz} equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--12},
     publisher = {mathdoc},
     number = {6},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_6_a0/}
}
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A. A. Abashkin. On a~weighted boundary value problem in an infinite half-strip for a~biaxisymmetric Helmholtz equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2013), pp. 3-12. http://geodesic.mathdoc.fr/item/IVM_2013_6_a0/