Complexity-like properties and parameter asymptotics of Lq -norms of Laguerre and Gegenbauer polynomials
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ac3320
Abstract: The main monotonic statistical complexity-like measures of the Rakhmanov’s probability density associated to the hypergeometric orthogonal polynomials (HOPs) in a real continuous variable, each of them quantifying two configurational facets of spreading, are examined in… read more here.
Keywords: laguerre gegenbauer; gegenbauer polynomials; parameter asymptotics; gegenbauer ... See more keywords
A Generalization of Gegenbauer Polynomials and Bi-Univalent Functions
Sign Up to like & getrecommendations! Published in 2023 at "Axioms"
DOI: 10.3390/axioms12020128
Abstract: Three subclasses of analytic and bi-univalent functions are introduced through the use of q−Gegenbauer polynomials, which are a generalization of Gegenbauer polynomials. For functions falling within these subclasses, coefficient bounds a2 and a3 as well… read more here.
Keywords: univalent functions; generalization gegenbauer; gegenbauer polynomials; polynomials univalent ... See more keywords