{"title":"Conditional Correctness of the Internal Boundary Value Problem of the Pseudoparabolic Equation with a Changing Time Direction","authors":"K. Fayazov, Zamira Shamshaddinovna Abdullayeva","doi":"10.35834/2020/3201049","DOIUrl":"https://doi.org/10.35834/2020/3201049","url":null,"abstract":"","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":"32 1","pages":"49-60"},"PeriodicalIF":0.4,"publicationDate":"2020-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42522412","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"$mu$-Paracompactness via Hereditary Classes","authors":"Abdo Qahis, T. Noiri","doi":"10.35834/2020/3201021","DOIUrl":"https://doi.org/10.35834/2020/3201021","url":null,"abstract":"","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":"32 1","pages":"21-31"},"PeriodicalIF":0.4,"publicationDate":"2020-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47760700","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Pascal Triangle Type Calculation for a Particular Infinite Series","authors":"Simon Aloff, Michael Miniere","doi":"10.35834/2020/3201061","DOIUrl":"https://doi.org/10.35834/2020/3201061","url":null,"abstract":"","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":"32 1","pages":"61-70"},"PeriodicalIF":0.4,"publicationDate":"2020-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42790301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We present a new proof of a result of Knuth and Buckholtz concerning the period of the number of alternating congruences modulo an odd prime. The proof is based on properties of special functions, specifically the polylogarithm, Dirichlet eta and beta functions, and Stirling numbers of the second kind.
{"title":"A Congruence for the Number of Alternating Permutations","authors":"Sumit Kumar Jha","doi":"10.35834/2020/3301099","DOIUrl":"https://doi.org/10.35834/2020/3301099","url":null,"abstract":"We present a new proof of a result of Knuth and Buckholtz concerning the period of the number of alternating congruences modulo an odd prime. The proof is based on properties of special functions, specifically the polylogarithm, Dirichlet eta and beta functions, and Stirling numbers of the second kind.","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2019-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48347313","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Uniqueness of the Common Invariant Density and the Convergence of the Fixed Point Iteration","authors":"Peter M. Uhl, Hannah Bohn, N. Rhee","doi":"10.35834/2019/3102113","DOIUrl":"https://doi.org/10.35834/2019/3102113","url":null,"abstract":"","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47784827","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Isoperimetric Deficit of Equichordal Curves in $mathbb{R}^2$","authors":"Zhenyi Wang","doi":"10.35834/2019/3102192","DOIUrl":"https://doi.org/10.35834/2019/3102192","url":null,"abstract":"","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45394790","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Topological Folding on the Chaotic Projective Spaces and Their Fundamental Group","authors":"M. Abu-Saleem, W. Al-Omeri","doi":"10.35834/2019/3102130","DOIUrl":"https://doi.org/10.35834/2019/3102130","url":null,"abstract":"","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46174950","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"$mathcal{I}_mathbf{g}^*$-closed Sets via Ideal Topological Spaces","authors":"W. Al-Omeri, M. Abu-Saleem","doi":"10.35834/2019/3102174","DOIUrl":"https://doi.org/10.35834/2019/3102174","url":null,"abstract":"","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42179325","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Power Series Extensions of Certain Functions of a Real Variable","authors":"Scott H. Demsky, Alex Opritsa","doi":"10.35834/2019/3102107","DOIUrl":"https://doi.org/10.35834/2019/3102107","url":null,"abstract":"","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43430368","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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