Asymptotic approximations of complex order tangent, Tangent-Bernoulli and Tangent-Genocchi polynomials

Autor:	Cristina B. Corcino, Baby Ann Damgo, Roberto B. Corcino, Joy Ann A. Cañete
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Asymptotic approximation Bernoulli polynomials Euler polynomials Genocchi polynomials Tangent-Bernoulli polynomials and Tangent-Genocchi polynomials tangent polynomials Science
Zdroj:	Arab Journal of Basic and Applied Sciences, Vol 31, Iss 1, Pp 282-291 (2024)
Druh dokumentu:	article
ISSN:	25765299 2576-5299
DOI:	10.1080/25765299.2024.2341455
Popis:	AbstractIn this study, asymptotic formulas for complex order Tangent, Tangent-Bernoulli, and Tangent-Genocchi polynomials are obtained through the method of contour integration, strategically avoiding branch cuts in the process. By employing this technique, the paper elucidates the behavior of these polynomials in the complex plane. Additionally, the investigation expands upon the Taylor series expansion of these functions, revealing alternative asymptotic expansions. This dual approach not only enhances our understanding of the asymptotic properties of these polynomials but also offers alternative mathematical perspectives, enriching the existing body of knowledge in this field.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a1884007b4f84bc29e6285dbf2ca36ce Zobrazit plný text záznamu View record in DOAJ