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Article
Publication date: 16 February 2021

Lorenzo Fornari, Enrico Laeng and Vittorino Pata

The authors propose a rather elementary method to compute a family of integrals on the half line, involving positive powers of sin x and negative powers of x, depending on the…

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Abstract

Purpose

The authors propose a rather elementary method to compute a family of integrals on the half line, involving positive powers of sin x and negative powers of x, depending on the integer parameters nq1.

Design/methodology/approach

Combinatorics, sine and cosine integral functions.

Findings

The authors prove an explicit formula to evaluate sinc-type integrals.

Originality/value

The proof is not present in the current literature, and it could be of interest for a large audience.

Details

Arab Journal of Mathematical Sciences, vol. 27 no. 2
Type: Research Article
ISSN: 1319-5166

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