Pascal-like matrix with double factorial binomial coefficients

Gonca Kizilaslan ()
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Gonca Kizilaslan: Kırıkkale University

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 2, 499-511

Abstract: Abstract We 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.

Keywords: Pascal-like matrix; Hermite polynomial; Factorization of matrix; Toeplitz matrix; Primary 11C08; Secondary 05A10; 15A23; 15B05 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13226-023-00496-x

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