Bases of special functions and their domains of convergence

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Akademie Verlag, Sep 1, 1993 - Mathematics - 158 pages
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A systematic approach to expansions of analytic functions in series of special functions is presented. Many expansions of this kind are identified with eigenfunction expansions for differential operators in the complex domain. Central ponits of our theory are the construction of biorthogonal canonical systems of eigen - and associated functions and the determination of the domains of convergence of the corresponding eigenfunction expansions.

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Foundations of the theory
First order differential systems with a regular singular point

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