{"title":"与波赫默尔 k 符号的 q 类似符号有关的几个特性和关系,以及在福斯-卡塔兰-齐数中的应用","authors":"Mongia Khlifi, Wathek Chammam, Bai-Ni Guo","doi":"10.1007/s13370-023-01164-3","DOIUrl":null,"url":null,"abstract":"<div><p>In the paper, the authors establish several identities and relations involving <i>q</i>-analogues of the Pochhammer <i>k</i>-symbol. Moreover, the authors generalize several identities and relations for <i>q</i>-analogues of the Catalan numbers and the Catalan–Qi numbers.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2024-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Several identities and relations related to q-analogues of Pochhammer k-symbol with applications to Fuss–Catalan–Qi numbers\",\"authors\":\"Mongia Khlifi, Wathek Chammam, Bai-Ni Guo\",\"doi\":\"10.1007/s13370-023-01164-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In the paper, the authors establish several identities and relations involving <i>q</i>-analogues of the Pochhammer <i>k</i>-symbol. Moreover, the authors generalize several identities and relations for <i>q</i>-analogues of the Catalan numbers and the Catalan–Qi numbers.</p></div>\",\"PeriodicalId\":46107,\"journal\":{\"name\":\"Afrika Matematika\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-01-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Afrika Matematika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s13370-023-01164-3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-023-01164-3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
在这篇论文中,作者建立了涉及波克夏默 k 符号 q-analogues 的几个等式和关系。此外,作者还概括了加泰罗尼亚数和加泰罗尼亚-齐数的 q-analogues 的几个同值和关系。
Several identities and relations related to q-analogues of Pochhammer k-symbol with applications to Fuss–Catalan–Qi numbers
In the paper, the authors establish several identities and relations involving q-analogues of the Pochhammer k-symbol. Moreover, the authors generalize several identities and relations for q-analogues of the Catalan numbers and the Catalan–Qi numbers.