Generalized Trigonometric and Hyperbolic Functions

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 . Language: English