Matches in SemOpenAlex for { <https://semopenalex.org/work/W2891005991> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W2891005991 abstract "In 2017, O. Deiser and C. Lasser obtained an explicit formula for the $n$-th derivative of the inverse tangent function. We calculate this derivative by a different method based on Fa`a di Bruno's formula. Comparing the two results leads to the following identity for binomial coefficients: $$sum_{i=m}^{[n/2]}frac{(-1)^i}{4^i}binom{i}{m}binom{n-i}{i}=frac{(-1)^m}{2^n}binom{n+1}{2m+1},$$ where $n,min mathbb{N}_0$ and $mleq [n/2]$. As was pointed out to the author by C. Krattenthaler, this formula is a special case of Gauss's formula for the hypergeometric function $_2F_1$." @default.
- W2891005991 created "2018-09-27" @default.
- W2891005991 creator A5026973773 @default.
- W2891005991 date "2018-09-21" @default.
- W2891005991 modified "2023-09-27" @default.
- W2891005991 title "Higher derivatives of the inverse tangent function and a summation formula involving binomial coefficients" @default.
- W2891005991 cites W2003115626 @default.
- W2891005991 cites W2004170125 @default.
- W2891005991 hasPublicationYear "2018" @default.
- W2891005991 type Work @default.
- W2891005991 sameAs 2891005991 @default.
- W2891005991 citedByCount "1" @default.
- W2891005991 countsByYear W28910059912020 @default.
- W2891005991 crossrefType "posted-content" @default.
- W2891005991 hasAuthorship W2891005991A5026973773 @default.
- W2891005991 hasConcept C105795698 @default.
- W2891005991 hasConcept C106159729 @default.
- W2891005991 hasConcept C111771559 @default.
- W2891005991 hasConcept C114614502 @default.
- W2891005991 hasConcept C121332964 @default.
- W2891005991 hasConcept C134306372 @default.
- W2891005991 hasConcept C138187205 @default.
- W2891005991 hasConcept C14036430 @default.
- W2891005991 hasConcept C162324750 @default.
- W2891005991 hasConcept C176671685 @default.
- W2891005991 hasConcept C197320386 @default.
- W2891005991 hasConcept C202444582 @default.
- W2891005991 hasConcept C207467116 @default.
- W2891005991 hasConcept C24890656 @default.
- W2891005991 hasConcept C2524010 @default.
- W2891005991 hasConcept C2778355321 @default.
- W2891005991 hasConcept C2781315470 @default.
- W2891005991 hasConcept C33923547 @default.
- W2891005991 hasConcept C34718186 @default.
- W2891005991 hasConcept C78458016 @default.
- W2891005991 hasConcept C86803240 @default.
- W2891005991 hasConceptScore W2891005991C105795698 @default.
- W2891005991 hasConceptScore W2891005991C106159729 @default.
- W2891005991 hasConceptScore W2891005991C111771559 @default.
- W2891005991 hasConceptScore W2891005991C114614502 @default.
- W2891005991 hasConceptScore W2891005991C121332964 @default.
- W2891005991 hasConceptScore W2891005991C134306372 @default.
- W2891005991 hasConceptScore W2891005991C138187205 @default.
- W2891005991 hasConceptScore W2891005991C14036430 @default.
- W2891005991 hasConceptScore W2891005991C162324750 @default.
- W2891005991 hasConceptScore W2891005991C176671685 @default.
- W2891005991 hasConceptScore W2891005991C197320386 @default.
- W2891005991 hasConceptScore W2891005991C202444582 @default.
- W2891005991 hasConceptScore W2891005991C207467116 @default.
- W2891005991 hasConceptScore W2891005991C24890656 @default.
- W2891005991 hasConceptScore W2891005991C2524010 @default.
- W2891005991 hasConceptScore W2891005991C2778355321 @default.
- W2891005991 hasConceptScore W2891005991C2781315470 @default.
- W2891005991 hasConceptScore W2891005991C33923547 @default.
- W2891005991 hasConceptScore W2891005991C34718186 @default.
- W2891005991 hasConceptScore W2891005991C78458016 @default.
- W2891005991 hasConceptScore W2891005991C86803240 @default.
- W2891005991 hasLocation W28910059911 @default.
- W2891005991 hasOpenAccess W2891005991 @default.
- W2891005991 hasPrimaryLocation W28910059911 @default.
- W2891005991 hasRelatedWork W1822565230 @default.
- W2891005991 hasRelatedWork W1866396759 @default.
- W2891005991 hasRelatedWork W1969363830 @default.
- W2891005991 hasRelatedWork W1970735906 @default.
- W2891005991 hasRelatedWork W1990114898 @default.
- W2891005991 hasRelatedWork W2018407505 @default.
- W2891005991 hasRelatedWork W2022899330 @default.
- W2891005991 hasRelatedWork W2123561674 @default.
- W2891005991 hasRelatedWork W2124116829 @default.
- W2891005991 hasRelatedWork W2237835297 @default.
- W2891005991 hasRelatedWork W2342343363 @default.
- W2891005991 hasRelatedWork W2369160171 @default.
- W2891005991 hasRelatedWork W2385533760 @default.
- W2891005991 hasRelatedWork W2594142792 @default.
- W2891005991 hasRelatedWork W2616239249 @default.
- W2891005991 hasRelatedWork W2759092281 @default.
- W2891005991 hasRelatedWork W2949582050 @default.
- W2891005991 hasRelatedWork W2964285130 @default.
- W2891005991 hasRelatedWork W3028680169 @default.
- W2891005991 hasRelatedWork W3099327779 @default.
- W2891005991 isParatext "false" @default.
- W2891005991 isRetracted "false" @default.
- W2891005991 magId "2891005991" @default.
- W2891005991 workType "article" @default.