This article is cited in 2 papers

A generalization of the Laurent series

Yu. N. Frolov

Moscow Power Engineering Institute

Abstract: A system of functions, biorthogonal to the $D$-basis introduced by M. K. Fage for a linear differential operator $D$ with analytic coefficients, is constructed. Series in the combination of the $D$-basis with this system generalize Laurent series in the same way as series in the $D$-basis generalize Taylor series.

UDC: 517.5

Received: 14.01.1970

 English version: Mathematical Notes, 1971, 9:5, 301–307

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