Abstract
With the innovations of calculus, it was discovered that standard trigonometric functions could be formulated as integrals of algebraic function of degree two. Euler and others generalized these to elliptic integrals, integrals of algebraic functions of degree three and four, and Abel generalized these, in turn, to integrals of algebraic functions of arbitrary degree (Abelian integrals). These transcendental functions were multivalued and various generalizations of the classical trigonometric addition formulas were formulated and proved for this more general class of functions.
Full Text
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call