Some New Facts About (Pseudo) Involutions in the Riordan Group

R. Słowik ()
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R. Słowik: Silesian University of Technolog

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 4, 1769-1777

Abstract: Abstract We answer the question posed by L.W. Shapiro about a property of elements whose (pseudo) order in the Riordan group is equal to 2. We prove that if (g(z), f(z)) is such an element, then, with some restictions, f is uniquely determined by g.

Keywords: Riordan matrix; pseudo-involution; involution; 15B99; 15B39; 05A15; 05A05 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0496-3

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