Geodesic
The Riemann problem for functions with polar lines of higher orders
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2014), pp. 3-12

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We consider a solution of jump problem of homogeneous and inhomogeneous problem for functions which have peculiarity of polar line of order $p_k+1$, $p_k\geq0$. We investigate the cases of continuous and discontinuous coefficients. In particular case with $p_k=0$ the obtained results follow from the results obtained earlier.
Keywords: Riemann problem, polar line, order of polar line, integer function, linear meromorphic function, canonical function, generalized canonical function. 
@article{IVM_2014_11_a0,
     author = {A. I. Afonina and I. G. Salekhova},
     title = {The {Riemann} problem for functions with polar lines of higher orders},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--12},
     publisher = {mathdoc},
     number = {11},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_11_a0/}
}
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A. I. Afonina; I. G. Salekhova. The Riemann problem for functions with polar lines of higher orders. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2014), pp. 3-12. http://geodesic.mathdoc.fr/item/IVM_2014_11_a0/