Matches in SemOpenAlex for { <https://semopenalex.org/work/W4366091034> ?p ?o ?g. }
- W4366091034 endingPage "382" @default.
- W4366091034 startingPage "382" @default.
- W4366091034 abstract "First derivatives with respect to the parameters of the Whittaker function $mathrm{W}_{kappa ,mu }left( xright) $ are calculated. Using the confluent hypergeometric function, these derivarives can be expressed as infinite sums of quotients of the digamma and gamma functions. Also, it is possible to obtain these parameter derivatives in terms of infinite integrals with integrands containing elementary functions (products of algebraic, exponential and logarithmic functions) from the integral representation of $mathrm{W}_{kappa ,mu }left( xright) $. These infinite sums and integrals can be expressed in closed-form for particular values of the parameters. Finally, an integral representation of the integral Whittaker function $mathrm{wi}_{kappa ,mu }left( xright) $ and its derivative with respect to $kappa $, as well as some reduction formulas for the integral Whittaker functions $mathrm{Wi}_{kappa ,mu }left( xright) $ and $mathrm{wi}_{kappa ,mu }left( xright) $ are calculated." @default.
- W4366091034 created "2023-04-19" @default.
- W4366091034 creator A5084106952 @default.
- W4366091034 creator A5087105386 @default.
- W4366091034 date "2023-04-16" @default.
- W4366091034 modified "2023-09-26" @default.
- W4366091034 title "Infinite Series and Logarithmic Integrals Associated to Differentiation with Respect to Parameters of the Whittaker Wκ,μx Function II" @default.
- W4366091034 cites W1509574792 @default.
- W4366091034 cites W159964344 @default.
- W4366091034 cites W1964312900 @default.
- W4366091034 cites W1967269817 @default.
- W4366091034 cites W1994577190 @default.
- W4366091034 cites W2016940967 @default.
- W4366091034 cites W2034667265 @default.
- W4366091034 cites W2046656046 @default.
- W4366091034 cites W2049745957 @default.
- W4366091034 cites W2156423547 @default.
- W4366091034 cites W2327171290 @default.
- W4366091034 cites W2768504138 @default.
- W4366091034 cites W2889305191 @default.
- W4366091034 cites W2963772139 @default.
- W4366091034 cites W3212099104 @default.
- W4366091034 cites W3217036625 @default.
- W4366091034 cites W4220986899 @default.
- W4366091034 cites W4229868531 @default.
- W4366091034 cites W4234858429 @default.
- W4366091034 doi "https://doi.org/10.3390/axioms12040382" @default.
- W4366091034 hasPublicationYear "2023" @default.
- W4366091034 type Work @default.
- W4366091034 citedByCount "0" @default.
- W4366091034 crossrefType "journal-article" @default.
- W4366091034 hasAuthorship W4366091034A5084106952 @default.
- W4366091034 hasAuthorship W4366091034A5087105386 @default.
- W4366091034 hasBestOaLocation W43660910341 @default.
- W4366091034 hasConcept C114614502 @default.
- W4366091034 hasConcept C134306372 @default.
- W4366091034 hasConcept C14036430 @default.
- W4366091034 hasConcept C143724316 @default.
- W4366091034 hasConcept C151376022 @default.
- W4366091034 hasConcept C151730666 @default.
- W4366091034 hasConcept C158241908 @default.
- W4366091034 hasConcept C197320386 @default.
- W4366091034 hasConcept C199422724 @default.
- W4366091034 hasConcept C202444582 @default.
- W4366091034 hasConcept C2524010 @default.
- W4366091034 hasConcept C27016315 @default.
- W4366091034 hasConcept C2778724333 @default.
- W4366091034 hasConcept C30573924 @default.
- W4366091034 hasConcept C33923547 @default.
- W4366091034 hasConcept C35235930 @default.
- W4366091034 hasConcept C35861355 @default.
- W4366091034 hasConcept C36649600 @default.
- W4366091034 hasConcept C39927690 @default.
- W4366091034 hasConcept C51577431 @default.
- W4366091034 hasConcept C53819440 @default.
- W4366091034 hasConcept C71897612 @default.
- W4366091034 hasConcept C78458016 @default.
- W4366091034 hasConcept C82240120 @default.
- W4366091034 hasConcept C86803240 @default.
- W4366091034 hasConcept C9376300 @default.
- W4366091034 hasConceptScore W4366091034C114614502 @default.
- W4366091034 hasConceptScore W4366091034C134306372 @default.
- W4366091034 hasConceptScore W4366091034C14036430 @default.
- W4366091034 hasConceptScore W4366091034C143724316 @default.
- W4366091034 hasConceptScore W4366091034C151376022 @default.
- W4366091034 hasConceptScore W4366091034C151730666 @default.
- W4366091034 hasConceptScore W4366091034C158241908 @default.
- W4366091034 hasConceptScore W4366091034C197320386 @default.
- W4366091034 hasConceptScore W4366091034C199422724 @default.
- W4366091034 hasConceptScore W4366091034C202444582 @default.
- W4366091034 hasConceptScore W4366091034C2524010 @default.
- W4366091034 hasConceptScore W4366091034C27016315 @default.
- W4366091034 hasConceptScore W4366091034C2778724333 @default.
- W4366091034 hasConceptScore W4366091034C30573924 @default.
- W4366091034 hasConceptScore W4366091034C33923547 @default.
- W4366091034 hasConceptScore W4366091034C35235930 @default.
- W4366091034 hasConceptScore W4366091034C35861355 @default.
- W4366091034 hasConceptScore W4366091034C36649600 @default.
- W4366091034 hasConceptScore W4366091034C39927690 @default.
- W4366091034 hasConceptScore W4366091034C51577431 @default.
- W4366091034 hasConceptScore W4366091034C53819440 @default.
- W4366091034 hasConceptScore W4366091034C71897612 @default.
- W4366091034 hasConceptScore W4366091034C78458016 @default.
- W4366091034 hasConceptScore W4366091034C82240120 @default.
- W4366091034 hasConceptScore W4366091034C86803240 @default.
- W4366091034 hasConceptScore W4366091034C9376300 @default.
- W4366091034 hasIssue "4" @default.
- W4366091034 hasLocation W43660910341 @default.
- W4366091034 hasLocation W43660910342 @default.
- W4366091034 hasLocation W43660910343 @default.
- W4366091034 hasOpenAccess W4366091034 @default.
- W4366091034 hasPrimaryLocation W43660910341 @default.
- W4366091034 hasRelatedWork W2069539192 @default.
- W4366091034 hasRelatedWork W2184113074 @default.
- W4366091034 hasRelatedWork W3210344535 @default.
- W4366091034 hasRelatedWork W4221151133 @default.
- W4366091034 hasRelatedWork W4241484491 @default.
- W4366091034 hasRelatedWork W4286896073 @default.