Matches in SemOpenAlex for { <https://semopenalex.org/work/W3104034110> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W3104034110 endingPage "31" @default.
- W3104034110 startingPage "21" @default.
- W3104034110 abstract "The Heun function generalizes all well-known special functions such as Spheroidal Wave, Lame, Mathieu, and hypergeometric_2F_1,_1F_1 and_0F_1 functions. Heun functions are applicable to diverse areas such as theory of black holes, lattice systems in statistical mechanics, solution of the Schrodinger equation of quantum mechanics, and addition of three quantum spins. In this paper I will apply three term recurrence formula (Choun, Y.S., arXiv:1303.0806., 2013) to the power series expansion in closed forms of Heun function (infinite series and polynomial) including all higher terms of A_n's. Section three contains my analysis on applying the power series expansions of Heun function to a recent paper. (R.S. Maier, Math. Comp. 33, 2007) Due to space restriction final equations for the 192 Heun functions are not included in the paper, but feel free to contact me for the final solutions. Section four contains two additional examples using the power series expansions of Heun function. This paper is 3rd out of 10 in series Special functions and three term recurrence formula (3TRF). See section 5 for all the papers in the series. The previous paper in series deals with three term recurrence formula (3TRF). The next paper in the series describes the integral forms of Heun function and its asymptotic behaviors analytically." @default.
- W3104034110 created "2020-11-23" @default.
- W3104034110 creator A5038486693 @default.
- W3104034110 date "2013-11-01" @default.
- W3104034110 modified "2023-10-16" @default.
- W3104034110 title "The analytic solution for the power series expansion of Heun function" @default.
- W3104034110 cites W1542070326 @default.
- W3104034110 cites W1990797670 @default.
- W3104034110 cites W1993028911 @default.
- W3104034110 cites W2002613852 @default.
- W3104034110 cites W2149420708 @default.
- W3104034110 cites W3101652884 @default.
- W3104034110 cites W3106494930 @default.
- W3104034110 doi "https://doi.org/10.1016/j.aop.2013.06.020" @default.
- W3104034110 hasPublicationYear "2013" @default.
- W3104034110 type Work @default.
- W3104034110 sameAs 3104034110 @default.
- W3104034110 citedByCount "12" @default.
- W3104034110 countsByYear W31040341102013 @default.
- W3104034110 countsByYear W31040341102014 @default.
- W3104034110 countsByYear W31040341102016 @default.
- W3104034110 countsByYear W31040341102018 @default.
- W3104034110 countsByYear W31040341102019 @default.
- W3104034110 countsByYear W31040341102021 @default.
- W3104034110 countsByYear W31040341102022 @default.
- W3104034110 countsByYear W31040341102023 @default.
- W3104034110 crossrefType "journal-article" @default.
- W3104034110 hasAuthorship W3104034110A5038486693 @default.
- W3104034110 hasBestOaLocation W31040341102 @default.
- W3104034110 hasConcept C113603373 @default.
- W3104034110 hasConcept C11683690 @default.
- W3104034110 hasConcept C121332964 @default.
- W3104034110 hasConcept C134306372 @default.
- W3104034110 hasConcept C143724316 @default.
- W3104034110 hasConcept C151730666 @default.
- W3104034110 hasConcept C158241908 @default.
- W3104034110 hasConcept C186080144 @default.
- W3104034110 hasConcept C197320386 @default.
- W3104034110 hasConcept C33923547 @default.
- W3104034110 hasConcept C37914503 @default.
- W3104034110 hasConcept C50757856 @default.
- W3104034110 hasConcept C62520636 @default.
- W3104034110 hasConcept C63036615 @default.
- W3104034110 hasConcept C73905626 @default.
- W3104034110 hasConcept C86803240 @default.
- W3104034110 hasConceptScore W3104034110C113603373 @default.
- W3104034110 hasConceptScore W3104034110C11683690 @default.
- W3104034110 hasConceptScore W3104034110C121332964 @default.
- W3104034110 hasConceptScore W3104034110C134306372 @default.
- W3104034110 hasConceptScore W3104034110C143724316 @default.
- W3104034110 hasConceptScore W3104034110C151730666 @default.
- W3104034110 hasConceptScore W3104034110C158241908 @default.
- W3104034110 hasConceptScore W3104034110C186080144 @default.
- W3104034110 hasConceptScore W3104034110C197320386 @default.
- W3104034110 hasConceptScore W3104034110C33923547 @default.
- W3104034110 hasConceptScore W3104034110C37914503 @default.
- W3104034110 hasConceptScore W3104034110C50757856 @default.
- W3104034110 hasConceptScore W3104034110C62520636 @default.
- W3104034110 hasConceptScore W3104034110C63036615 @default.
- W3104034110 hasConceptScore W3104034110C73905626 @default.
- W3104034110 hasConceptScore W3104034110C86803240 @default.
- W3104034110 hasLocation W31040341101 @default.
- W3104034110 hasLocation W31040341102 @default.
- W3104034110 hasOpenAccess W3104034110 @default.
- W3104034110 hasPrimaryLocation W31040341101 @default.
- W3104034110 hasRelatedWork W163566747 @default.
- W3104034110 hasRelatedWork W1943265121 @default.
- W3104034110 hasRelatedWork W1998154294 @default.
- W3104034110 hasRelatedWork W2066119727 @default.
- W3104034110 hasRelatedWork W2074434896 @default.
- W3104034110 hasRelatedWork W2090453457 @default.
- W3104034110 hasRelatedWork W2092397289 @default.
- W3104034110 hasRelatedWork W2987703321 @default.
- W3104034110 hasRelatedWork W3104034110 @default.
- W3104034110 hasRelatedWork W3122054165 @default.
- W3104034110 hasVolume "338" @default.
- W3104034110 isParatext "false" @default.
- W3104034110 isRetracted "false" @default.
- W3104034110 magId "3104034110" @default.
- W3104034110 workType "article" @default.