A proof, a consequence and an application of Boole's combinatorial identity

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Date
2022
Authors
Holland, Finbarr
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Irish Mathematical Society
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Abstract
Boole's combinatorial identity is proved, and a consequence of it for analytic functions is derived that is used to evaluate a sequence of integrals in terms of Euler's secant sequence of integers.
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Keywords
Analytic functions , Sequence of integrals , Boole's combinatorial identity , Euler's secant sequence of integers
Citation
Holland, F. (2022) 'A proof, a consequence and an application of Boole's combinatorial identity', Bulletin of the Irish Mathematical Society, 89, pp. 25-28. Available at: https://www.maths.tcd.ie/pub/ims/bull89/wef/Articles/Holland/Holland-wef.pdf (Accessed: 13 July 2022).
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https://www.maths.tcd.ie/pub/ims/bull89/wef/Articles/Holland/Holland-wef.pdf
URI
https://hdl.handle.net/10468/13360
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Mathematical Sciences- Journal Articles
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© 2022, Irish Mathematical Society.