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
General
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