Kizilaslan, Gonca2025-01-212025-01-2120230019-55880975-7465https://doi.org/10.1007/s13226-023-00496https://hdl.handle.net/20.500.12587/25238We introduce a variation of a Pascal-like matrix which includes double factorial binomial coefficients and show that it satisfies several properties. We find the inverse of the defined matrix and derive explicit representations of the powers of it for the integer, rational and irrational exponents. Finally, we give a generalization of this matrix and obtain some identities.eninfo:eu-repo/semantics/closedAccessPascal-like matrix; Hermite polynomial; Factorization of matrix; Toeplitz matrixArticle10.1007/s13226-023-004962-s2.0-85173110100Q3WOS:001077410400001Q4