Extended Moreno-García cosine products

AIMS Mathematics

article

Robert Reynolds¹ 

[1] Department of Mathematics and Statistics, York University

关键词: cosine function;    Hurwitz-Lerch Zeta function;    Cauchy integral;    infinite product;    finite product;    golden ratio;   

DOI  :  10.3934/math.2023157

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY