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 …

In this paper, we introduce the concept of generalized Fourier series, generated by the p-
trigonometric functions, namely cosp and sinp, recently introduced related to the generalized …

In this study, we used the fact that unit circle for elliptic numbers is an ellipse to model motion
of a planet around a star. For that purpose we first have given a standard derivation of elliptic …

Thus far, many studies have been conducted on p-complex numbers. Depending on the
sign of p, there are three cases: hyperbolic, dual, and elliptic. In the literature, dual numbers …