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Solution of central and lateral coupling problems for an \(n\)-th order equation. II - MaRDI portal

Solution of central and lateral coupling problems for an \(n\)-th order equation. II (Q1190057)

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scientific article; zbMATH DE number 56618
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English
Solution of central and lateral coupling problems for an \(n\)-th order equation. II
scientific article; zbMATH DE number 56618

    Statements

    Solution of central and lateral coupling problems for an \(n\)-th order equation. II (English)
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    26 September 1992
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    Using the results of part I [Teor. Funkts., Funkts. Anal. Prilozh. 52, 136--129 (1989; Zbl 0713.34006)] the author continues the investigation of equations of the type \[ \sum ^ n_{\nu=0}p_ \nu(z)y^{(\nu)}=0,\;p_ \nu(z)=\sum^ n_{\mu=\nu}a_{\nu \mu}z^ \mu, a_{nn}=1. \] In particular he shows that the function \(v_ k(\xi)\) (introduced in part I) is defined as a solution of a certain Jordan-Pochhammer equation.
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    coupling problems
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    connection matrices
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    differential equations in complex domain
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    Jordan-Pochhammer equation
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