CRC Press - Generalized Trigonometric and Hyperbolic Functions

Generalized Trigonometric and Hyperbolic Functions provides a new perspective for researchers and students working in the field of generalized trigonometric functions. While traditional methods often begin with integral representations for inverse generalized sine functions to build associated cosine functions, this text offers a different approach to the creation and analysis of these mathematical classes. By moving away from standard derivation paths, this book introduces results based on the application of geometrical phase space and dynamical systems methodologies. This alternative framework allows for a deeper understanding of the properties of generalized trigonometric functions through a unique lens. It is an essential resource for those studying mathematical analysis and differential equations who seek to expand their toolkit with modern methodological approaches.