{"title":"函数的类似函数及其性质","authors":"K. Nantomah, I. Ege","doi":"10.15421/242209","DOIUrl":null,"url":null,"abstract":"We consider a generalization of the gamma function which we term as lambda analogue of the gamma function or $\\lambda$-gamma function and further, we establish some of its accompanying properties. For the particular case when $\\lambda=1$, the results established reduce to results involving the classical gamma function. The techniques employed in proving our results are analytical in nature.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":"53 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A Lambda Analogue of the Gamma Function and its Properties\",\"authors\":\"K. Nantomah, I. Ege\",\"doi\":\"10.15421/242209\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider a generalization of the gamma function which we term as lambda analogue of the gamma function or $\\\\lambda$-gamma function and further, we establish some of its accompanying properties. For the particular case when $\\\\lambda=1$, the results established reduce to results involving the classical gamma function. The techniques employed in proving our results are analytical in nature.\",\"PeriodicalId\":52827,\"journal\":{\"name\":\"Researches in Mathematics\",\"volume\":\"53 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Researches in Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15421/242209\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Researches in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15421/242209","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
A Lambda Analogue of the Gamma Function and its Properties
We consider a generalization of the gamma function which we term as lambda analogue of the gamma function or $\lambda$-gamma function and further, we establish some of its accompanying properties. For the particular case when $\lambda=1$, the results established reduce to results involving the classical gamma function. The techniques employed in proving our results are analytical in nature.
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