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Research Article | Open Access

Extended Moreno-García cosine products

Department of Mathematics and Statistics, York University, Toronto, ON, M3J1P3, Canada
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Abstract

The Moreno-García cosine product is extended to evaluate an extensive number of trigonometric products previously published. The products are taken over finite and infinite domains defined in terms of the Hurwitz-Lerch Zeta function, which can be simplified to composite functions in special cases of integer values of the parameters involved. The results obtained include generalizations of finite and infinite products cosine functions, in certain cases raised to a complex number power.

Keywords

cosine functionHurwitz-Lerch Zeta functionCauchy integralinfinite productfinite productgolden ratio
CLC number: Primary 30E20, 33-01, 33-03, 33-04

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AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 3049-3063
DOI: 10.3934/math.2023157

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Cite this article:
Reynolds R. Extended Moreno-García cosine products. AIMS Mathematics, 2023, 8(2): 3049-3063. https://doi.org/10.3934/math.2023157

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Received: 16 August 2022
Revised: 18 October 2022
Accepted: 24 October 2022
Published: 15 February 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)