TY: CHAP
T1 - Vietoris' number sequence and its generalizations through hypercomplex function theory
A1 - Cação, Isabel
A1 - Falcão, M. I.
A1 - Malonek, Helmuth
N2 - The so-called Vietoris' number sequence is a sequence of rational numbers
that appeared for the rst time in a celebrated theorem by Vietoris (1958)
about the positivity of certain trigonometric sums with important applications in
harmonic analysis (Askey/Steinig, 1974) and in the theory of stable holomorphic
functions (Ruscheweyh/ Salinas, 2004). In the context of hypercomplex function
theory those numbers appear as coe cients of special homogeneous polynomials
in R3 whose generalization to an arbitrary dimension n lead to a n-parameter
generalized Vietoris' number sequence that characterizes hypercomplex Appell
polynomials in Rn.
UR - https://ria.ua.pt/handle/10773/24665
Y1 - 2018
PB - No publisher defined