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Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas最新文献

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Some q-supercongruences modulo the square and cube of a cyclotomic polynomial. 对一个环形多项式的平方和立方取模的一些q-超同余。
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2021-01-01 Epub Date: 2021-05-31 DOI: 10.1007/s13398-021-01070-y
Victor J W Guo, Michael J Schlosser
{"title":"Some <i>q</i>-supercongruences modulo the square and cube of a cyclotomic polynomial.","authors":"Victor J W Guo,&nbsp;Michael J Schlosser","doi":"10.1007/s13398-021-01070-y","DOIUrl":"https://doi.org/10.1007/s13398-021-01070-y","url":null,"abstract":"<p><p>Two <i>q</i>-supercongruences of truncated basic hypergeometric series containing two free parameters are established by employing specific identities for basic hypergeometric series. The results partly extend two <i>q</i>-supercongruences that were earlier conjectured by the same authors and involve <i>q</i>-supercongruences modulo the square and the cube of a cyclotomic polynomial. One of the newly proved <i>q</i>-supercongruences is even conjectured to hold modulo the fourth power of a cyclotomic polynomial.</p>","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13398-021-01070-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39623203","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Rate of convergence of exponential type operators related to $$pleft( xright) =2x^{3/2}$$ for functions of bounded variation 有界变分函数与$$pleft( xright) =2x^{3/2}$$相关的指数型算子的收敛速度
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2020-10-01 DOI: 10.1007/s13398-020-00919-y
U. Abel, Vijay Gupta
{"title":"Rate of convergence of exponential type operators related to $$pleft( xright) =2x^{3/2}$$ for functions of bounded variation","authors":"U. Abel, Vijay Gupta","doi":"10.1007/s13398-020-00919-y","DOIUrl":"https://doi.org/10.1007/s13398-020-00919-y","url":null,"abstract":"","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88425718","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
On metrizable subspaces and quotients of non-Archimedean spaces $$C_p(X, {mathbb {K}})$$ 非阿基米德空间的可度量子空间和商 $$C_p(X, {mathbb {K}})$$
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2020-07-01 DOI: 10.1007/s13398-020-00849-9
J. Ka̧kol, W. Śliwa
{"title":"On metrizable subspaces and quotients of non-Archimedean spaces $$C_p(X, {mathbb {K}})$$","authors":"J. Ka̧kol, W. Śliwa","doi":"10.1007/s13398-020-00849-9","DOIUrl":"https://doi.org/10.1007/s13398-020-00849-9","url":null,"abstract":"","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90991240","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A q-analogue of the (A.2) supercongruence of Van Hamme for primes $$pequiv 1pmod {4}$$ 质数Van Hamme (A.2)超同余的q-类似 $$pequiv 1pmod {4}$$
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2020-07-01 DOI: 10.1007/s13398-020-00854-y
Victor J. W. Guo
{"title":"A q-analogue of the (A.2) supercongruence of Van Hamme for primes $$pequiv 1pmod {4}$$","authors":"Victor J. W. Guo","doi":"10.1007/s13398-020-00854-y","DOIUrl":"https://doi.org/10.1007/s13398-020-00854-y","url":null,"abstract":"","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90722070","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 15
On several unified reduction formulas for the Humbert function $$Phi _{2}$$ with applications 关于Humbert函数$$Phi _{2}$$的几个统一约简公式及其应用
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2020-04-01 DOI: 10.1007/s13398-020-00797-4
Yongsup Kim, M. Rakha, A. Rathie
{"title":"On several unified reduction formulas for the Humbert function $$Phi _{2}$$ with applications","authors":"Yongsup Kim, M. Rakha, A. Rathie","doi":"10.1007/s13398-020-00797-4","DOIUrl":"https://doi.org/10.1007/s13398-020-00797-4","url":null,"abstract":"","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74938197","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On $$sigma $$-subnormality criteria in finite $$sigma $$-soluble groups 有限$$sigma $$可溶群的$$sigma $$ -次正态准则
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2020-04-01 DOI: 10.1007/s13398-020-00824-4
A. Ballester-Bolinches, S. Kamornikov, M. C. PEDRAZA-AGUILERA, V. Pérez-Calabuig
{"title":"On $$sigma $$-subnormality criteria in finite $$sigma $$-soluble groups","authors":"A. Ballester-Bolinches, S. Kamornikov, M. C. PEDRAZA-AGUILERA, V. Pérez-Calabuig","doi":"10.1007/s13398-020-00824-4","DOIUrl":"https://doi.org/10.1007/s13398-020-00824-4","url":null,"abstract":"","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88682962","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
On the space of Laplace transformable distributions. 关于拉普拉斯可变换分布的空间。
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2020-01-01 Epub Date: 2020-08-12 DOI: 10.1007/s13398-020-00907-2
Andreas Debrouwere, Eduard A Nigsch
{"title":"On the space of Laplace transformable distributions.","authors":"Andreas Debrouwere, Eduard A Nigsch","doi":"10.1007/s13398-020-00907-2","DOIUrl":"10.1007/s13398-020-00907-2","url":null,"abstract":"<p><p>We show that the space <math> <mrow> <msup><mrow><mi>S</mi></mrow> <mo>'</mo></msup> <mrow><mo>(</mo> <mi>Γ</mi> <mo>)</mo></mrow> </mrow> </math> of Laplace transformable distributions, where <math><mrow><mi>Γ</mi> <mo>⊆</mo> <msup><mrow><mi>R</mi></mrow> <mi>d</mi></msup> </mrow> </math> is a non-empty convex open set, is an ultrabornological (PLS)-space. Moreover, we determine an explicit topological predual of <math> <mrow> <msup><mrow><mi>S</mi></mrow> <mo>'</mo></msup> <mrow><mo>(</mo> <mi>Γ</mi> <mo>)</mo></mrow> </mrow> </math> .</p>","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7446279/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38434824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions. 计算和在贝塔，多，和高斯超几何函数。
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2020-01-01 Epub Date: 2020-08-24 DOI: 10.1007/s13398-020-00927-y
Feng Qi, Chuan-Jun Huang
{"title":"Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions.","authors":"Feng Qi,&nbsp;Chuan-Jun Huang","doi":"10.1007/s13398-020-00927-y","DOIUrl":"https://doi.org/10.1007/s13398-020-00927-y","url":null,"abstract":"<p><p>In the paper, by virtue of the binomial inversion formula, a general formula of higher order derivatives for a ratio of two differentiable function, and other techniques, the authors compute several sums in terms of the beta function and its partial derivatives, polygamma functions, the Gauss hypergeometric function, and a determinant. These results generalize known ones in combinatorics.</p>","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13398-020-00927-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38325807","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Bilinear $$theta $$-type Calderón–Zygmund operator and its commutator on non-homogeneous weighted Morrey spaces 非齐次加权Morrey空间上的双线性$$theta $$型Calderón-Zygmund算子及其对易子
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2020-01-01 DOI: 10.1007/s13398-020-00955-8
G. Lu
{"title":"Bilinear $$theta $$-type Calderón–Zygmund operator and its commutator on non-homogeneous weighted Morrey spaces","authors":"G. Lu","doi":"10.1007/s13398-020-00955-8","DOIUrl":"https://doi.org/10.1007/s13398-020-00955-8","url":null,"abstract":"","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86047881","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
On the coefficients of $$mathbf {{mathcal {B}}_1}(varvec{alpha })$$ Bazilevič functions 关于$$mathbf {{mathcal {B}}_1}(varvec{alpha })$$ bazilevikov函数的系数
IF 2.9 2区 数学
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2020-01-01 DOI: 10.1007/s13398-020-00947-8
Khadija Bano, Mohsan Raza, D. Thomas
{"title":"On the coefficients of $$mathbf {{mathcal {B}}_1}(varvec{alpha })$$ Bazilevič functions","authors":"Khadija Bano, Mohsan Raza, D. Thomas","doi":"10.1007/s13398-020-00947-8","DOIUrl":"https://doi.org/10.1007/s13398-020-00947-8","url":null,"abstract":"","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84595581","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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