توابع فوق مثلثاتي و كاربردهاي آن

HYPERGONIOMETRIC FUNCTIONS AND THEIR APPLICATIONS

In this paper, a new kind of trignometric function is introduced, called hypergoniometric function. This function is the natural generalization of ordinary trigonometric and hyperbolic function. Then, their properties and connections with trigonometric and Jacobian elliptic functions are investigated. Finally, some application of these new functions are presented for obtaining the closed form of some special integrals and solving the differential equation of simple harmonic pendulum.