{"title":"β-差分超几何方程的因子分解方法","authors":"G. Bangerezako","doi":"10.2139/ssrn.3351635","DOIUrl":null,"url":null,"abstract":"We discuss special types of the factorization method for the so-called β-difference hypergeometric equation, and then illustrate them by solving or transforming difference and q-difference hypergeometric equations, including the Askey-Wilson second order q-difference equation.","PeriodicalId":299310,"journal":{"name":"Econometrics: Mathematical Methods & Programming eJournal","volume":"71 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Factorization Method for the β-Difference Hypergeometric Equation\",\"authors\":\"G. Bangerezako\",\"doi\":\"10.2139/ssrn.3351635\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We discuss special types of the factorization method for the so-called β-difference hypergeometric equation, and then illustrate them by solving or transforming difference and q-difference hypergeometric equations, including the Askey-Wilson second order q-difference equation.\",\"PeriodicalId\":299310,\"journal\":{\"name\":\"Econometrics: Mathematical Methods & Programming eJournal\",\"volume\":\"71 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-03-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Econometrics: Mathematical Methods & Programming eJournal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2139/ssrn.3351635\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Econometrics: Mathematical Methods & Programming eJournal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.3351635","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Factorization Method for the β-Difference Hypergeometric Equation
We discuss special types of the factorization method for the so-called β-difference hypergeometric equation, and then illustrate them by solving or transforming difference and q-difference hypergeometric equations, including the Askey-Wilson second order q-difference equation.
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