Quaternion Sequences

João Pedro Morais, Svetlin Georgiev and Wolfgang Sprößig
Additional contact information
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 3 in Real Quaternionic Calculus Handbook, 2014, pp 53-67 from Springer

Abstract: Abstract In the present chapter we use the properties of quaternions described in a previous chapter to explore the key notion of a quaternion sequence. Then we will use this analogue in a formula called summation by parts, which is an analogue of integration by parts for sums. Summation by parts is not only a useful auxiliary tool, but even indispensable in many applications, including finding sums of powers of integers and deriving some famous convergence tests for series: the Dirichlet and Abel tests.

Keywords: Quaternary Sequence; Abel's Test; Subsequent Quaternization; Quaternion Numbers; Cauchy Property (search for similar items in EconPapers)
Date: 2014
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0622-0_3

Ordering information: This item can be ordered from
http://www.springer.com/9783034806220

DOI: 10.1007/978-3-0348-0622-0_3

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().