Authors: Stević, Stevo 
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: On a class of recursive relations for calculating square roots of numbers
Journal: Journal of Applied Mathematics and Computing
Issue Date: 10-Aug-2022
Rank: M21a
ISSN: 1598-5865
DOI: 10.1007/s12190-022-01780-5
Abstract: 
We show that a recursive relation for finding square roots of numbers is naturally obtained from an iteration process, and that the relation is solvable in closed form, explaining some results in the literature in an elegant way. We also present a class of recursive relations for finding square roots of numbers which are also solvable in closed form, considerably extending and unifying such recursive relations.
Keywords: Recursive relation | Solution in closed form | Solvable equation | Square root
Publisher: Springer Link

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