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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 11, Pages 3–12 (Mi ivm8944)  
The Riemann problem for functions with polar lines of higher orders

A. I. Afonina, I. G. Salekhova

Chair of Differential Equations, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
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Abstract: 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.
Received: 18.04.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 11, Pages 1–9
DOI: https://doi.org/10.3103/S1066369X14110012
Bibliographic databases:
Document Type: Article
UDC: 517.544
Language: Russian
Citation: A. I. Afonina, I. G. Salekhova, “The Riemann problem for functions with polar lines of higher orders”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 11, 3–12; Russian Math. (Iz. VUZ), 58:11 (2014), 1–9
Citation in format AMSBIB
\Bibitem{AfoSal14}
\by A.~I.~Afonina, I.~G.~Salekhova
\paper The Riemann problem for functions with polar lines of higher orders
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 11
\pages 3--12
\mathnet{http://mi.mathnet.ru/ivm8944}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 11
\pages 1--9
\crossref{https://doi.org/10.3103/S1066369X14110012}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84910142402}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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