Matches in SemOpenAlex for { <https://semopenalex.org/work/W4367000255> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W4367000255 abstract "In 1974, Gautschi proved an intriguing inequality involving the gamma function $Gamma$. Precisely, he proved that, for $z>0$, the harmonic mean of $Gamma(z)$ and $Gamma(1/z)$ can never be less than 1. In 2017, Alzer and Jameson extended this result to the digamma function $psi$ by proving that, for $z>0$, the harmonic mean of $psi(z)$ and $psi(1/z)$ can never be less than $-gamma$ where $gamma$ is the Euler-Mascheroni constant. In this paper, our goal is to extend the results to the trigamma function $psi'$. We prove among other things that, for $z>0$, the harmonic mean of $psi'(z)$ and $psi'(1/z)$ can never be greater than $pi^2/6$." @default.
- W4367000255 created "2023-04-27" @default.
- W4367000255 creator A5000983365 @default.
- W4367000255 creator A5011646131 @default.
- W4367000255 creator A5054507371 @default.
- W4367000255 date "2023-04-21" @default.
- W4367000255 modified "2023-09-25" @default.
- W4367000255 title "On Some Properties of the Trigamma Function" @default.
- W4367000255 doi "https://doi.org/10.48550/arxiv.2304.12081" @default.
- W4367000255 hasPublicationYear "2023" @default.
- W4367000255 type Work @default.
- W4367000255 citedByCount "0" @default.
- W4367000255 crossrefType "posted-content" @default.
- W4367000255 hasAuthorship W4367000255A5000983365 @default.
- W4367000255 hasAuthorship W4367000255A5011646131 @default.
- W4367000255 hasAuthorship W4367000255A5054507371 @default.
- W4367000255 hasBestOaLocation W43670002551 @default.
- W4367000255 hasConcept C114614502 @default.
- W4367000255 hasConcept C121332964 @default.
- W4367000255 hasConcept C127934551 @default.
- W4367000255 hasConcept C134306372 @default.
- W4367000255 hasConcept C14036430 @default.
- W4367000255 hasConcept C199360897 @default.
- W4367000255 hasConcept C202444582 @default.
- W4367000255 hasConcept C2777027219 @default.
- W4367000255 hasConcept C30573924 @default.
- W4367000255 hasConcept C33923547 @default.
- W4367000255 hasConcept C35235930 @default.
- W4367000255 hasConcept C35861355 @default.
- W4367000255 hasConcept C41008148 @default.
- W4367000255 hasConcept C62520636 @default.
- W4367000255 hasConcept C62884695 @default.
- W4367000255 hasConcept C71897612 @default.
- W4367000255 hasConcept C78458016 @default.
- W4367000255 hasConcept C82240120 @default.
- W4367000255 hasConcept C86803240 @default.
- W4367000255 hasConceptScore W4367000255C114614502 @default.
- W4367000255 hasConceptScore W4367000255C121332964 @default.
- W4367000255 hasConceptScore W4367000255C127934551 @default.
- W4367000255 hasConceptScore W4367000255C134306372 @default.
- W4367000255 hasConceptScore W4367000255C14036430 @default.
- W4367000255 hasConceptScore W4367000255C199360897 @default.
- W4367000255 hasConceptScore W4367000255C202444582 @default.
- W4367000255 hasConceptScore W4367000255C2777027219 @default.
- W4367000255 hasConceptScore W4367000255C30573924 @default.
- W4367000255 hasConceptScore W4367000255C33923547 @default.
- W4367000255 hasConceptScore W4367000255C35235930 @default.
- W4367000255 hasConceptScore W4367000255C35861355 @default.
- W4367000255 hasConceptScore W4367000255C41008148 @default.
- W4367000255 hasConceptScore W4367000255C62520636 @default.
- W4367000255 hasConceptScore W4367000255C62884695 @default.
- W4367000255 hasConceptScore W4367000255C71897612 @default.
- W4367000255 hasConceptScore W4367000255C78458016 @default.
- W4367000255 hasConceptScore W4367000255C82240120 @default.
- W4367000255 hasConceptScore W4367000255C86803240 @default.
- W4367000255 hasLocation W43670002551 @default.
- W4367000255 hasOpenAccess W4367000255 @default.
- W4367000255 hasPrimaryLocation W43670002551 @default.
- W4367000255 hasRelatedWork W181527117 @default.
- W4367000255 hasRelatedWork W1982755271 @default.
- W4367000255 hasRelatedWork W1994752097 @default.
- W4367000255 hasRelatedWork W2108010770 @default.
- W4367000255 hasRelatedWork W2592451200 @default.
- W4367000255 hasRelatedWork W2945400697 @default.
- W4367000255 hasRelatedWork W2949537383 @default.
- W4367000255 hasRelatedWork W3123656105 @default.
- W4367000255 hasRelatedWork W4302032644 @default.
- W4367000255 hasRelatedWork W4366773921 @default.
- W4367000255 isParatext "false" @default.
- W4367000255 isRetracted "false" @default.
- W4367000255 workType "article" @default.