Review of Nonelementary Integrals in Context of Hypergeometric Functions
Keywords:
Elementary and Nonelementary Functions, Hypergeometric Functions, Kernel of the Integral, Nonelementary Integrals.Abstract
Nonelementary integrals, which cannot be expressed in the terms of elementary functions, are generally expressed in special functions and hypergeometric function is one such special function denoted by mFn, which plays an important role in integration. In fact the
hypergeometric functions are solution of many nonelementary integrals. The introduction of special functions has ended the scope of research of elementary and nonelementary functions in context of antiderivatives, which directly affects the antiderivative of those elementary functions, which are not expressible in terms of elementary functions in closed form.
References
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