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An integral transformation relation

An integral transformation relation

with I (X+ 1)ao(x-1)a'I as weight function. We call (x-ao)ao ** (x-a,)aJP still the weight function of the generalized Jacobi polynomials of the order p. By introduction of the extended Heine-Stieltjes polynomials p(ao 'aP)(x) = (x-ao)aO * * (X-a,)cPP('O aP)(x) and by denoting fk+1(uvxt/(x-aj0) . . (x-ac)tP)dx, by Bkl, we …