2024
DOI: 10.3390/math12081242
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Bridging the p-Special Functions between the Generalized Hyperbolic and Trigonometric Families

Ali Hamzah Alibrahim,
Saptarshi Das

Abstract: 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 … Show more

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