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Transcendental Functions with a Complex Twist

2018/05/11 by Michael Warren, Michael A. Warren, Warren, Michael +4
Mathematics · Social Sciences · #Complex Variables (math.CV) #FOS: Mathematics #History and Overview (math.HO) #History and Theory of Mathematics #Mathematics Education and Teaching Techniques #Mathematics and Applications #math.CV #math.HO

paper · pdf · doi:10.48550/arxiv.1805.05320

arxiv created 2018/05/11 · openalex publication_date 2018/05/11 · arxiv updated 2018/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In our previous paper, Real Polynomials with a Complex Twist [see http://archives.math.utk.edu/ICTCM/VOL28/A040/paper.pdf], we used advancements in computer graphics that allow us to easily illustrate more complete graphs of polynomial functions that are still accessible to students of many different levels. In this paper we examine the 3D graphical representations of selected transcendental functions over subsets of the complex plane for which the functions are real-valued. We visualize and find connections between circular trigonometric functions and hyperbolic functions.

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