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• W2276127961 abstract "Here presented are the denitions of (c)-Riordan arrays and (c)-Bell polynomials which are extensions of the classical Riordan arrays and Bell polynomials. The characterization of (c)-Riordan arrays by means of the A- and Z-sequences is given, which corresponds to a horizontal construction of a (c)Riordan array rather than its denition approach through column generating functions. There exists a one-to-one correspondence between Gegenbauer-Humbert-type polynomial sequences and the set of (c)Riordan arrays, which generates the sequence characterization of Gegenbauer-Humbert-type polynomial sequences. The sequence characterization is applied to construct readily a (c)-Riordan array. In addition, subgrouping of (c)-Riordan arrays by using the characterizations is discussed. The (c)-Bell polynomials and its identities by means of convolution families are also studied. Finally, the characterization of (c)-Riordan arrays in terms of the convolution families and (c)-Bell polynomials is presented." @default.
• W2276127961 created "2016-06-24" @default.
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• W2276127961 date "2013-01-01" @default.
• W2276127961 modified "2023-09-26" @default.
• W2276127961 title "Characterization of (c)-Riordan arrays, Gegenbauer-Humbert-type Polynomial Sequences, and (c)-Bell Polynomials" @default.
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