Generalized trigonometric functions in complex domain

Generalized Trigonometric Functions: 10744

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Inequalities involving generalized trigonometric and hyperbolic functions

The Huygens-Wilker type inequalities involving generalized trigonometric functions and generalized hyperbolic functions are established. The first and the second inequalities of Huygens and Wilker, for classes of functions under discussion, are also investigated.

A Geometric View of Complex Trigonometric Functions

Richard Hammack ([email protected]) received his Ph.D. from the University of North Carolina at Chapel Hill. He developed an early version of this article while an undergraduate art student at Rhode Island School of Design, and it later became part of his master’s thesis at Virginia Commonwealth University. Following positions at Wake Forest University and Randolph-Macon College, he is now an as...

Understanding trigonometric functions and complex numbers

Two topics, trigonometric functions and complex numbers, are explained for students who feel that they are scary. This article aims to show how trigonometric functions can be naturally incorporated in our daily lives; and how consistent, beautiful and useful complex numbers are.

Stability of Trigonometric Functional Equations in Generalized Functions