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Bridging the p-Special Functions between the Generalized Hyperbolic and Trigonometric Families
by
Das, Saptarshi
, Alibrahim, Ali Hamzah
in
Complex numbers
/ Hyperbolic functions
/ Number systems
/ p-complex logarithm
/ p-hyperbolic functions
/ p-trigonometric functions
/ special functions
/ Trigonometric functions
2024
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Bridging the p-Special Functions between the Generalized Hyperbolic and Trigonometric Families
by
Das, Saptarshi
, Alibrahim, Ali Hamzah
in
Complex numbers
/ Hyperbolic functions
/ Number systems
/ p-complex logarithm
/ p-hyperbolic functions
/ p-trigonometric functions
/ special functions
/ Trigonometric functions
2024
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Do you wish to request the book?
Bridging the p-Special Functions between the Generalized Hyperbolic and Trigonometric Families
by
Das, Saptarshi
, Alibrahim, Ali Hamzah
in
Complex numbers
/ Hyperbolic functions
/ Number systems
/ p-complex logarithm
/ p-hyperbolic functions
/ p-trigonometric functions
/ special functions
/ Trigonometric functions
2024
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Bridging the p-Special Functions between the Generalized Hyperbolic and Trigonometric Families
Journal Article
Bridging the p-Special Functions between the Generalized Hyperbolic and Trigonometric Families
2024
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Overview
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.
Publisher
MDPI AG
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