Generalized Trigonometric and Hyperbolic Functions

Ronald E. Mickens

ene 2019 · CRC Press

Acerca de este libro electrónico

Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions. Previous efforts have started with integral representations for the inverse generalized sine functions, followed by the construction of the associated cosine functions, and from this, various properties of the generalized trigonometric functions are derived. However, the results contained in this book are based on the application of both geometrical phase space and dynamical systems methodologies.

Features

• Clear, direct construction of a new set of generalized trigonometric and hyperbolic functions
• Presentation of why x2+y2 = 1, and related expressions, may be interpreted in three distinct ways
• All the constructions, proofs, and derivations can be readily followed and understood by students, researchers, and professionals in the natural and mathematical sciences

Acerca del autor

Ronald E. Mickens is the Distinguished Fuller E. Callaway Professor at Clark Atlanta University, Atlanta, GA, and is a Fellow of several professional organizations, including the American Physical Society. He has written or edited seventeen books and published more than 300 peer-reviewed research articles.