The inverse versine function and sums containing reciprocal central binomial coefficients and reciprocal Catalan numbers

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Abstract

Using the inverse of the once common but now largely forgotten versine function, series containing reciprocals of the central binomial coefficients and series containing reciprocals of the Catalan numbers are explored. In doing so we show how an alternative pathway to advanced problem solving can be achieved for a class of problems typical of those arising in classical analysis.
Original languageEnglish (US)
Pages (from-to)1955-1966
Number of pages12
JournalInternational Journal of Mathematical Education in Science and Technology
Volume53
Issue number7
DOIs
StatePublished - Jan 1 2022
Externally publishedYes

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