Matches in SemOpenAlex for { <https://semopenalex.org/work/W4224330028> ?p ?o ?g. }
Showing items 1 to 59 of
59
with 100 items per page.
- W4224330028 abstract "Let $g$ and $h$ be real-valued arithmetic functions, positive and normalized. Specific choices within the following general scheme of recursively defined polynomials begin{equation*} P_n^{g,h}(x):= frac{x}{h(n)} sum_{k=1}^{n} g(k) , P_{n-k}^{g,h}(x), end{equation*} with initial value $P_{0}^{g,h}(x)=1$ encode information about several classical, widely studied polynomials. This includes Chebyshev polynomials of the second kind, associated Laguerre polynomials, and the Nekrasov--Okounkov polynomials. In this paper we prove that for $g(n)=n$ and fixed $h$ we obtain orthogonal polynomial sequences for positive definite functionals. Let $h(n)=n^s$ with $0 leq s leq 1 $. Then the sequence satisfies Tur'an inequalities for $x geq 0$." @default.
- W4224330028 created "2022-04-26" @default.
- W4224330028 creator A5015562884 @default.
- W4224330028 creator A5048855896 @default.
- W4224330028 creator A5090617573 @default.
- W4224330028 date "2022-04-03" @default.
- W4224330028 modified "2023-09-28" @default.
- W4224330028 title "Tur'an inequalities from Chebyshev to Laguerre polynomials" @default.
- W4224330028 doi "https://doi.org/10.48550/arxiv.2204.01008" @default.
- W4224330028 hasPublicationYear "2022" @default.
- W4224330028 type Work @default.
- W4224330028 citedByCount "0" @default.
- W4224330028 crossrefType "posted-content" @default.
- W4224330028 hasAuthorship W4224330028A5015562884 @default.
- W4224330028 hasAuthorship W4224330028A5048855896 @default.
- W4224330028 hasAuthorship W4224330028A5090617573 @default.
- W4224330028 hasBestOaLocation W42243300281 @default.
- W4224330028 hasConcept C10628310 @default.
- W4224330028 hasConcept C108408018 @default.
- W4224330028 hasConcept C114614502 @default.
- W4224330028 hasConcept C118615104 @default.
- W4224330028 hasConcept C129785596 @default.
- W4224330028 hasConcept C134306372 @default.
- W4224330028 hasConcept C202444582 @default.
- W4224330028 hasConcept C21736991 @default.
- W4224330028 hasConcept C2778112365 @default.
- W4224330028 hasConcept C33923547 @default.
- W4224330028 hasConcept C54355233 @default.
- W4224330028 hasConcept C86803240 @default.
- W4224330028 hasConcept C90119067 @default.
- W4224330028 hasConceptScore W4224330028C10628310 @default.
- W4224330028 hasConceptScore W4224330028C108408018 @default.
- W4224330028 hasConceptScore W4224330028C114614502 @default.
- W4224330028 hasConceptScore W4224330028C118615104 @default.
- W4224330028 hasConceptScore W4224330028C129785596 @default.
- W4224330028 hasConceptScore W4224330028C134306372 @default.
- W4224330028 hasConceptScore W4224330028C202444582 @default.
- W4224330028 hasConceptScore W4224330028C21736991 @default.
- W4224330028 hasConceptScore W4224330028C2778112365 @default.
- W4224330028 hasConceptScore W4224330028C33923547 @default.
- W4224330028 hasConceptScore W4224330028C54355233 @default.
- W4224330028 hasConceptScore W4224330028C86803240 @default.
- W4224330028 hasConceptScore W4224330028C90119067 @default.
- W4224330028 hasLocation W42243300281 @default.
- W4224330028 hasOpenAccess W4224330028 @default.
- W4224330028 hasPrimaryLocation W42243300281 @default.
- W4224330028 hasRelatedWork W135804711 @default.
- W4224330028 hasRelatedWork W2951841201 @default.
- W4224330028 hasRelatedWork W3103695908 @default.
- W4224330028 hasRelatedWork W3183810406 @default.
- W4224330028 hasRelatedWork W3200189796 @default.
- W4224330028 hasRelatedWork W3210665573 @default.
- W4224330028 hasRelatedWork W4206195438 @default.
- W4224330028 hasRelatedWork W4287554879 @default.
- W4224330028 hasRelatedWork W1969095116 @default.
- W4224330028 hasRelatedWork W3112898235 @default.
- W4224330028 isParatext "false" @default.
- W4224330028 isRetracted "false" @default.
- W4224330028 workType "article" @default.