Parameter and q asymptotics of Lq$$ {\mathfrak{L}}_q $$‐norms of hypergeometric orthogonal polynomials
Sign Up to like & getrecommendations! Published in 2022 at "International Journal of Quantum Chemistry"
DOI: 10.1002/qua.27013
Abstract: . The three canonical families of the hypergeometric orthogonal polynomials (Hermite, Laguerre and Jacobi) control the physical wavefunctions of the bound stationary states of a great deal of quantum systems. The algebraic L q -norms… read more here.
Keywords: orthogonal polynomials; asymptotics mathfrak; norms hypergeometric; parameter asymptotics ... See more keywords
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