Pub Date : 2018-12-01DOI: 10.15393/J3.ART.2018.5290
S. Nasyrov
. We investigate the problem of describing a one-para-metric family of elliptic functions which uniformizes a given family of ramified coverings of the Riemann sphere with maximal possible ramification over infinity. We find a PDE for the family of functions and use it to deduce a system of ODEs for their critical points.
{"title":"Families of elliptic functions and uniformization of complex tori with a unique point over infinity","authors":"S. Nasyrov","doi":"10.15393/J3.ART.2018.5290","DOIUrl":"https://doi.org/10.15393/J3.ART.2018.5290","url":null,"abstract":". We investigate the problem of describing a one-para-metric family of elliptic functions which uniformizes a given family of ramified coverings of the Riemann sphere with maximal possible ramification over infinity. We find a PDE for the family of functions and use it to deduce a system of ODEs for their critical points.","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"6 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87558022","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}
Pub Date : 2018-12-01DOI: 10.15393/J3.ART.2018.5730
R. Yilmazer, O. Ozturk
{"title":"N-Fractional Calculus Operator Method to the Euler Equation","authors":"R. Yilmazer, O. Ozturk","doi":"10.15393/J3.ART.2018.5730","DOIUrl":"https://doi.org/10.15393/J3.ART.2018.5730","url":null,"abstract":"","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"23 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81208076","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}
Pub Date : 2018-12-01DOI: 10.15393/J3.ART.2018.4630
V. Bruk
{"title":"Generalized resolvents of operators generated by integral equations","authors":"V. Bruk","doi":"10.15393/J3.ART.2018.4630","DOIUrl":"https://doi.org/10.15393/J3.ART.2018.4630","url":null,"abstract":"","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"8 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75915470","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}
Pub Date : 2018-12-01DOI: 10.15393/J3.ART.2018.4991
M. Noor, K. Noor, F. Safdar
{"title":"Inequalities via generalized h-convex functions","authors":"M. Noor, K. Noor, F. Safdar","doi":"10.15393/J3.ART.2018.4991","DOIUrl":"https://doi.org/10.15393/J3.ART.2018.4991","url":null,"abstract":"","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"86 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83749229","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}
Pub Date : 2018-12-01DOI: 10.15393/J3.ART.2018.5190
B. E. Levitskii
{"title":"Reduced p-modulus, p-harmonic radius and p-harmonic Green","authors":"B. E. Levitskii","doi":"10.15393/J3.ART.2018.5190","DOIUrl":"https://doi.org/10.15393/J3.ART.2018.5190","url":null,"abstract":"","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"22 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81433771","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}
Pub Date : 2018-12-01DOI: 10.15393/j3.art.2018.5830
A. Sairam Kaliraj
{"title":"Injectivity of sections of close-to-convex harmonic mappings with functions convex in one direction as analytic part","authors":"A. Sairam Kaliraj","doi":"10.15393/j3.art.2018.5830","DOIUrl":"https://doi.org/10.15393/j3.art.2018.5830","url":null,"abstract":"","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"2 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87935859","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}
Pub Date : 2018-09-01DOI: 10.15393/J3.ART.2018.5530
A. Fatykhov, P. Shabalin
We consider the so called Hilbert boundary value problem with infinite index in the unit disk. Its coefficient is assumed to be Hölder-continuous everywhere on the unit circle excluding a finite set of points. At these points its argument has power discontinuities of orders less than one. We obtain formulas for the general solution and describe completely the solvability picture in a special functional class. Our technique is based on the theory of entire functions and the geometric theory of functions.
{"title":"Solvability homogeneous Riemann-Hilbert boundary value problem with several points of turbulence","authors":"A. Fatykhov, P. Shabalin","doi":"10.15393/J3.ART.2018.5530","DOIUrl":"https://doi.org/10.15393/J3.ART.2018.5530","url":null,"abstract":"We consider the so called Hilbert boundary value problem with infinite index in the unit disk. Its coefficient is assumed to be Hölder-continuous everywhere on the unit circle excluding a finite set of points. At these points its argument has power discontinuities of orders less than one. We obtain formulas for the general solution and describe completely the solvability picture in a special functional class. Our technique is based on the theory of entire functions and the geometric theory of functions.","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"22 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76812461","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}
Pub Date : 2018-09-01DOI: 10.15393/j3.art.2018.5410
A. A. Tatarkin, U. S. Saranchuk
{"title":"Elementary solutions of a homogeneous q-sided convolution equation","authors":"A. A. Tatarkin, U. S. Saranchuk","doi":"10.15393/j3.art.2018.5410","DOIUrl":"https://doi.org/10.15393/j3.art.2018.5410","url":null,"abstract":"","PeriodicalId":41813,"journal":{"name":"Problemy Analiza-Issues of Analysis","volume":"34 10 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82782536","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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