Related Experiment Video
Updated: Jun 17, 2025

Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method
Published on: July 19, 2019
The forgotten p-versine and p-coversine family of functions revisited
Ali Hamzah Alibrahim1,2, Saptarshi Das1,3
1Centre for Environmental Mathematics, Faculty of Environment, Science and Economy, University of Exeter, Penryn, United Kingdom.
Abstract:
This study delves into special class of generalized p-trigonometric functions, examining their connection to the established counterparts like p-cosine and p-sine functions. We here explore the new class of functions called the p-versine, p-coversine, p-haversine, and p-hacovercosine, by providing comprehensive definitions and properties. Grounded in the characteristics of p-cosine and p-sine functions, the newly proposed functions offer unique mathematical insights. Our work contributes towards a thorough understanding of these new special functions, showcasing their potential applications in diverse scientific domains, from mathematical analysis to physics and engineering. This paper contributes as a valuable resource for future applied mathematics researchers, engaging with these new mathematical functions, enhancing the ability to model complex patterns from diverse real-world applications.
Related Concept Videos
Determination of Pi Terms
The theorem indicates that...
[3,3] Sigmatropic Rearrangement of 1,5-Dienes: Cope Rearrangement
Woodward–Hoffmann Selection Rules and Microscopic Reversibility
Disubstituted Cyclohexanes: cis-trans Isomerism
In cyclohexane, the substituents can occupy different positions generating distinct isomers....
¹H NMR: Pople Notation
A proton...
Frost Circles for Different Conjugated Systems

![Cercosporin-Photocatalyzed [4+1]- and [4+2]-Annulations of Azoalkenes Under Mild Conditions](/_next/image?url=https%3A%2F%2Fcloudfront.jove.com%2FCDNSource%2Fteasers%2F60786.jpg&w=3840&q=50)