Quaternion Series and Infinite Products

João Pedro Morais, Svetlin Georgiev and Wolfgang Sprößig
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João Pedro Morais: University of Aveiro, CIDMA
Svetlin Georgiev: University of Sofia St Kliment Ohridski Faculty of Mathematics and Informatics, Department of Differential Equations
Wolfgang Sprößig: TU Bergakademie Freiberg, Institut für Angewandte Analysis

Chapter 4 in Real Quaternionic Calculus Handbook, 2014, pp 69-85 from Springer

Abstract: Abstract An essential feature of the classical theory of power series is that we can manipulate recurrence relations for power series without necessarily worrying about whether the underlying series converge. In case they do converge, we can extract important information about the recurrence relation that may not otherwise be easily obtainable.

Keywords: Quaternary Series; Extract Important Information; Quaternary Sequence; Quaternion Numbers; Alternating Series Test (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-0348-0622-0_4

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