Catalan numbers revisited
Copyright policy )Catalan numbers revisited
Motivated by author's earlier development of binomial functions [ibid. 70, 460-473 (1979; Zbl 0416.05007); ibid. 83, 110-125 (1981; Zbl 0477.05004)] the notion of Catalan binomial functions, Catalan matrices and that of Sheffer functions is introduced as a generalization of the same named sequences. A variety of combinatorial identities is proved and some applications are outlined (e.g. to the inverse Laplace transform).
- University of Otago New Zealand
bracketization problem, Catalan matrices, Catalan binomial functions, Applied Mathematics, binomial functions, Fibonacci and Lucas numbers and polynomials and generalizations, Sheffer functions, Factorials, binomial coefficients, combinatorial functions, Analysis, Combinatorial identities, bijective combinatorics
bracketization problem, Catalan matrices, Catalan binomial functions, Applied Mathematics, binomial functions, Fibonacci and Lucas numbers and polynomials and generalizations, Sheffer functions, Factorials, binomial coefficients, combinatorial functions, Analysis, Combinatorial identities, bijective combinatorics
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