Discrete analogs of the classical Fourier-Jacobi transform are introduced and investigated. It involves series and integrals with respect to parameters of the Gauss hypergeometric function ${ }_2F_1(a+in/2,a-in/2;\ c; -x^2 ), \ x >0, n \in \mathbb{ N}, a,c > 0, i $ is the imaginary unit. The corresponding inversion formulas for suitable functions and sequences in terms of these series and integrals are established.
Categories: math.CA