Abstract
Mathematically, special functions are functions defined on R or C and they possess not only series representations, but also integral representations. In the study of boundary value problems and special functions, Fourier series for generalized hypergeometric functions plays a vital role. The role of certain double Fourier series of generalized hypergeometric functions in the improvement of the theories of boundary value problems of dimension two and special functions can not be denied. In this paper, looking into the importance of Fourier series we have derived two integrals involving A-Function. Then we have used these integrals along with orthogonal property of Jacobi Polynomials to find the required Fourier Series.
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