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This paper is to evaluate certain Catalan-Hankel Pfaffians by the theory ofskew orthogonal polynomials. Due to different kinds of hypergeometricorthogonal polynomials underlying the Askey scheme, we explicitly construct theclassical skew orthogonal polynomials and then give different examples ofCatalan-Hankel Pfaffians with continuous and $q$-moment sequences.

Evaluations of certain Catalan-Hankel Pfaffians via classical skew orthogonal polynomials