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The forgotten p-versine and p-coversine family of functions revisited

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  • Ali Hamzah Alibrahim
  • Saptarshi Das

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.

Suggested Citation

  • Ali Hamzah Alibrahim & Saptarshi Das, 2024. "The forgotten p-versine and p-coversine family of functions revisited," PLOS ONE, Public Library of Science, vol. 19(8), pages 1-17, August.
    • Handle: RePEc:plo:pone00:0308529
    DOI: 10.1371/journal.pone.0308529
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