HYPERGEOMETRIC NOTATION OF SOME COMPOUNDED FUNCTIONS WITH APPLICATIONS

摘要

The aim of this paper is to obtain hypergeometric forms (not available in the literature) of some functions like: sin(b tan~(-1) x), cos(b tan~(-1) x), sin(b tanh~(-1) x), cos(6tanh~(-1) x), by using Leibniz theorem for successive differentiation and Maclaurin's series expansion. Some applications are also given.