Degenerate Sheffer sequences and λ-Sheffer sequences
نویسندگان
چکیده
منابع مشابه
Riordan Arrays, Sheffer Sequences and “Orthogonal” Polynomials
Riordan group concepts are combined with the basic properties of convolution families of polynomials and Sheffer sequences, to establish a duality law, canonical forms ρ(n,m) = ( n m ) cFn−m(m), c 6= 0, and extensions ρ(x, x − k) = (−1) xcFk(x), where the Fk(x) are polynomials in x, holding for each ρ(n,m) in a Riordan array. Examples ρ(n,m) = ( n m ) Sk(x) are given, in which the Sk(x) are “or...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2021
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2020.124521