{"title":"论双双曲古列尔莫数","authors":"Bahadır Yılmaz, Y. Soykan","doi":"10.9734/jamcs/2024/v39i41881","DOIUrl":null,"url":null,"abstract":"In this research, the generalized dual hyperbolic Guglielmo numbers are introduced. Various special cases are explored (including dual hyperbolic triangular numbers, dual hyperbolic triangular-Lucas numbers, dual hyperbolic oblong numbers, and dual hyperbolic pentagonal numbers). Binet.s formulas, generating functions and summation formulas for these numbers are presented. Moreover, Catalan.s and Cassini.s identities are provided, along with matrices associated with these sequences.","PeriodicalId":503149,"journal":{"name":"Journal of Advances in Mathematics and Computer Science","volume":" 7","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Dual Hyperbolic Guglielmo Numbers\",\"authors\":\"Bahadır Yılmaz, Y. Soykan\",\"doi\":\"10.9734/jamcs/2024/v39i41881\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this research, the generalized dual hyperbolic Guglielmo numbers are introduced. Various special cases are explored (including dual hyperbolic triangular numbers, dual hyperbolic triangular-Lucas numbers, dual hyperbolic oblong numbers, and dual hyperbolic pentagonal numbers). Binet.s formulas, generating functions and summation formulas for these numbers are presented. Moreover, Catalan.s and Cassini.s identities are provided, along with matrices associated with these sequences.\",\"PeriodicalId\":503149,\"journal\":{\"name\":\"Journal of Advances in Mathematics and Computer Science\",\"volume\":\" 7\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Advances in Mathematics and Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.9734/jamcs/2024/v39i41881\",\"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 Advances in Mathematics and Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.9734/jamcs/2024/v39i41881","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this research, the generalized dual hyperbolic Guglielmo numbers are introduced. Various special cases are explored (including dual hyperbolic triangular numbers, dual hyperbolic triangular-Lucas numbers, dual hyperbolic oblong numbers, and dual hyperbolic pentagonal numbers). Binet.s formulas, generating functions and summation formulas for these numbers are presented. Moreover, Catalan.s and Cassini.s identities are provided, along with matrices associated with these sequences.
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