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Paper detail

Lobachevsky-type Formulas via Fourier Analysis

Recently renewed interest in the Lobachevsky-type integrals and interesting identities involving the cardinal sine motivate an extension of the classical Parseval formula involving both periodic and non-periodic functions. We develop a version of the Parseval formula that is often more practical in applications and illustrate its use by extending recent results on Lobachevsky-type integrals. Some previously known, interesting identities are re-proved in a more transparent manner and new formulas for integrals involving cardinal sine and Bessel functions are given.

preprint2020arXivOpen access
Runze CaiHorst HohbergerMian Li
math.CA
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Runze CaiHorst HohbergerMian Li

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