{"title":"用超几何函数表示佩尔多项式的有限积和","authors":"Patra, Asim, Panda, Gopal Krishna","doi":"10.1186/s42787-022-00137-y","DOIUrl":null,"url":null,"abstract":"In this work, we study sums of finite products of Pell polynomials and express them in terms of some special orthogonal polynomials. Furthermore, each of the obtained expression is represented as linear combinations of classical polynomials involving hypergeometric functions by means of explicit computations.","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"290 ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Sums of finite products of Pell polynomials in terms of hypergeometric functions\",\"authors\":\"Patra, Asim, Panda, Gopal Krishna\",\"doi\":\"10.1186/s42787-022-00137-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, we study sums of finite products of Pell polynomials and express them in terms of some special orthogonal polynomials. Furthermore, each of the obtained expression is represented as linear combinations of classical polynomials involving hypergeometric functions by means of explicit computations.\",\"PeriodicalId\":33345,\"journal\":{\"name\":\"Journal of the Egyptian Mathematical Society\",\"volume\":\"290 \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Egyptian Mathematical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1186/s42787-022-00137-y\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Egyptian Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1186/s42787-022-00137-y","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Sums of finite products of Pell polynomials in terms of hypergeometric functions
In this work, we study sums of finite products of Pell polynomials and express them in terms of some special orthogonal polynomials. Furthermore, each of the obtained expression is represented as linear combinations of classical polynomials involving hypergeometric functions by means of explicit computations.
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