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

Seán M. Stewart

doi:10.1080/0020739X.2021.1912842

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

Seán M. Stewart

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 language	English (US)
Pages (from-to)	1955-1966
Number of pages	12
Journal	International Journal of Mathematical Education in Science and Technology
Volume	53
Issue number	7
DOIs	https://doi.org/10.1080/0020739X.2021.1912842
State	Published - Jan 1 2022
Externally published	Yes

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10.1080/0020739X.2021.1912842

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AB - 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.

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JO - International Journal of Mathematical Education in Science and Technology

JF - International Journal of Mathematical Education in Science and Technology

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ER -

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

Abstract

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