Volume : III, Issue : VI, June - 2014

Addition Theorems and Nature of Jacobi Hyperbolic Functions

Ms. Parveen Bawa

Abstract :

The discovery of elliptic functions emerged from investigations of integral addition theorems. An addition theorem for a function f is a formula expressing f(u+v) in terms of f(u) and f(v). For a function defined as a definite integral with a variable upper limit, an addition theorem takes the form of an equation between the sum of two such integrals, with upper limits u and v, and an integral whose upper limit is a certain function of u and v. In this paper a ief, sketch of addition Theorems related to Jacobi hyperbolic functions and the role which the investigation of such addition theorems has played in the development of theory of Jacobi hyperbolic functions is presented. Also from the addition theorems important results depicting the nature of Jacobi hyperbolic functions are discussed.

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Article: Download PDF   DOI : 10.36106/ijsr  

Cite This Article:

Ms. Parveen Bawa / Addition Theorems and Nature of Jacobi Hyperbolic Functions / International Journal of Scientific Research, Vol.3, Issue.6 June 2014

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