Geodesic
A homogeneous Hilbert problem with a~countable set of discontinuity points of coefficients and a~logarithmic singularity of index
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2013), pp. 83-88

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We consider the Hilbert problem for the upper half-plane with a countable set of discontinuity points of coefficients of the boundary condition and with a two-side curling at infinity of a logarithmic order. We obtain formulas for the general solution to the problem.
Keywords: Riemann–Hilbert boundary value problem, curling at infinity, infinite index, entire function. 
@article{IVM_2013_12_a8,
     author = {R. B. Salimov and P. L. Shabalin},
     title = {A homogeneous {Hilbert} problem with a~countable set of discontinuity points of coefficients and a~logarithmic singularity of index},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {83--88},
     publisher = {mathdoc},
     number = {12},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_12_a8/}
}
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R. B. Salimov; P. L. Shabalin. A homogeneous Hilbert problem with a~countable set of discontinuity points of coefficients and a~logarithmic singularity of index. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2013), pp. 83-88. http://geodesic.mathdoc.fr/item/IVM_2013_12_a8/