DISCRETE AND PSEUDO ORTHOGONALITY FOR A CLASS OF GENERALIZED HYPERGEOMETRIC FUNCTIONS
Keywords:Discrete orthogonality, pesudo orthogonality, generalized hyper geometric functions, Laguerre polynomials, a modified Jacobi polynomials
In his Ph. D. thesis  Satyanarayana defined and studied the generalized hypergeo metric functions $I_n^\alpha(x,w)$ and $H_n^\alpha(x,w).$ In the present paper we consider discrete orthogonality for $I_n^\alpha(x,w)$ and pseudo orthogonality for $H_n^\alpha(x,w)$. We also obtain some interesting applications of the results of our investigation.
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