Bridging the p-Special Functions between the Generalized Hyperbolic and Trigonometric Families

Autor:	Ali Hamzah Alibrahim, Saptarshi Das
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	p-trigonometric functions p-hyperbolic functions p-complex logarithm special functions Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 8, p 1242 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12081242
Popis:	Here, we study the extension of p-trigonometric functions sinp and cosp family in complex domains and p-hyperbolic functions sinhp and the coshp family in hyperbolic complex domains. These functions satisfy analogous relations as their classical counterparts with some unknown properties. We show the relationship of these two classes of special functions viz. p-trigonometric and p-hyperbolic functions with imaginary arguments. We also show many properties and identities related to the analogy between these two groups of functions. Further, we extend the research bridging the concepts of hyperbolic and elliptical complex numbers to show the properties of logarithmic functions with complex arguments.
Databáze:	Directory of Open Access Journals
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