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New convolution identities for orthogonal polynomials belonging to the $q=-1$analog of the Askey-scheme are obtained. A specialization of the Chiharapolynomials will play a central role as the eigenfunctions of a special elementof the Lie superalgebra $\mathfrak{osp}(1|2)$ in the positive discrete seriesrepresentation. Using the Clebsch-Gordan coefficients, a convolution identityfor the Specialized Chihara, the dual -1 Hahn and the Big -1 Jacobi polynomialsis found. Using the Racah coefficients, a convolution identity for the Big -1Jacobi and the Bannai-Ito polynomials is found. Finally, these results areapplied to construct a bilinear generating function for the Big -1 Jacobipolynomials.

Convolution identities for Dunkl orthogonal polynomials from the $\mathfrak{osp}(1|2)$ Lie superalgebra