Abstract
A generating sequence defines an infinite sequence of Vekua equations. If for a given (original) Vekua equation we know not only a corresponding generating pair but the whole generating sequence, that is a pair of exact and independent solutions for each of the Vekua equations from the infinite sequence of equations corresponding to the original one, we are able to construct an infinite system of solutions of the original Vekua equation as is shown in the next definition. Moreover, as we show in this chapter, under quite general conditions this infinite system of solutions is complete.
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© 2009 Birkhäuser Verlag AG
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(2009). Formal Powers. In: Applied Pseudoanalytic Function Theory. Frontiers in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0004-0_4
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DOI: https://doi.org/10.1007/978-3-0346-0004-0_4
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0346-0003-3
Online ISBN: 978-3-0346-0004-0
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