Matches in SemOpenAlex for { <https://semopenalex.org/work/W2964242316> ?p ?o ?g. }
Showing items 1 to 55 of
55
with 100 items per page.
- W2964242316 abstract "Most of the theoretical physics known today is described by using a small number of differential equations. If we study only linear systems, different forms of the hypergeometric or the confluent hypergeometric equations of- ten suffice to describe this problem. These equations have power series solutions with simple relations between consecutive coefficients and can be generally represented in terms of simple integral transforms. If the problem is nonlinear, one often uses one form of the Painleve equation. There are important examples, however, where one has to use more com- plicated equations. An example often encountered in quantum mechanics is the hydrogen atom in an external electric field, the Stark effect. One often bypasses this difficulty by studying this problem usingperturba- tion methods. If one studies certain problems in astronomy or general relativity, encounter with Heun equation is inevitable. This is a general equation whose special forms take names as Mathieu, Lame and Coulomb spheroidal equations. Here the coefficients in a power seriesexpansions do not have two way recursion relations. We have a relation at least between three or four different coefficients. A simple integral transform solution also is not obtainable. Here I will try to introduce this equa- tion whose popularity increased recently, mostly among theoretical physi- cists,and give some examples where the result can be expressed in terms of solutions of this equation." @default.
- W2964242316 created "2019-07-30" @default.
- W2964242316 creator A5001091919 @default.
- W2964242316 date "2012-10-14" @default.
- W2964242316 modified "2023-09-23" @default.
- W2964242316 title "HEUN FUNCTIONS AND THEIR USES IN PHYSICS" @default.
- W2964242316 cites W1802988907 @default.
- W2964242316 cites W2032231305 @default.
- W2964242316 cites W2994685737 @default.
- W2964242316 cites W3029694111 @default.
- W2964242316 cites W60675102 @default.
- W2964242316 cites W608102083 @default.
- W2964242316 cites W807496987 @default.
- W2964242316 doi "https://doi.org/10.1142/9789814417532_0002" @default.
- W2964242316 hasPublicationYear "2012" @default.
- W2964242316 type Work @default.
- W2964242316 sameAs 2964242316 @default.
- W2964242316 citedByCount "22" @default.
- W2964242316 countsByYear W29642423162012 @default.
- W2964242316 countsByYear W29642423162013 @default.
- W2964242316 countsByYear W29642423162014 @default.
- W2964242316 countsByYear W29642423162015 @default.
- W2964242316 countsByYear W29642423162016 @default.
- W2964242316 countsByYear W29642423162017 @default.
- W2964242316 countsByYear W29642423162018 @default.
- W2964242316 countsByYear W29642423162019 @default.
- W2964242316 countsByYear W29642423162020 @default.
- W2964242316 countsByYear W29642423162021 @default.
- W2964242316 countsByYear W29642423162022 @default.
- W2964242316 countsByYear W29642423162023 @default.
- W2964242316 crossrefType "proceedings-article" @default.
- W2964242316 hasAuthorship W2964242316A5001091919 @default.
- W2964242316 hasBestOaLocation W29642423162 @default.
- W2964242316 hasConcept C121332964 @default.
- W2964242316 hasConcept C41008148 @default.
- W2964242316 hasConceptScore W2964242316C121332964 @default.
- W2964242316 hasConceptScore W2964242316C41008148 @default.
- W2964242316 hasLocation W29642423161 @default.
- W2964242316 hasLocation W29642423162 @default.
- W2964242316 hasOpenAccess W2964242316 @default.
- W2964242316 hasPrimaryLocation W29642423161 @default.
- W2964242316 hasRelatedWork W1536502753 @default.
- W2964242316 hasRelatedWork W2748952813 @default.
- W2964242316 hasRelatedWork W2899084033 @default.
- W2964242316 hasRelatedWork W2902782467 @default.
- W2964242316 hasRelatedWork W2935759653 @default.
- W2964242316 hasRelatedWork W3105167352 @default.
- W2964242316 hasRelatedWork W54078636 @default.
- W2964242316 hasRelatedWork W1501425562 @default.
- W2964242316 hasRelatedWork W2954470139 @default.
- W2964242316 hasRelatedWork W3084825885 @default.
- W2964242316 isParatext "false" @default.
- W2964242316 isRetracted "false" @default.
- W2964242316 magId "2964242316" @default.
- W2964242316 workType "article" @default.