Pub Date : 1900-01-01DOI: 10.30970/vmm.2021.92.093-098
Myroslav Sheremeta
Let K = ( k j ) be an increasing sequence of integers, k 0 = 0 , and E ( K ) be a class of analytic in the disk D = { z : | z | < 1 } functions f such that for some p ∈ N all derivatives f ( k j ) are in the middle p -valent in D . It is proved that every function f ∈ E ( K ) is entire if and only if
设K = (K j)是一个递增的整数序列，K 0 = 0, E (K)是磁盘D = {z: | z | < 1}中的一类解析函数f，使得对于某些p∈N, f (K j)的所有导数都在D中的p -中间值。证明了每个函数f∈E (K)是完整的当且仅当
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Pub Date : 1900-01-01DOI: 10.30970/vmm.2022.93.083-096
Andrii Kuryliak, O. Skaskiv
where be class of analytic functions, where ( θ nm ) is a sequence of positive integer such that its arrangement ( θ ∗ k ) by increasing satis(cid:28)es the condition θ ∗ k +1 /θ ∗ k (cid:62) q > 1 , k > 0 . For analytic functions from the K ( f, θ ) Wiman’s inequality was improved.
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Pub Date : 1900-01-01DOI: 10.30970/vmm.2022.93.074-082
O. Holovata, O. Mulyava, M. Sheremeta
Studying starlikeness and convexity of p -valent functions of the form
研究形式的p价函数的星形和凸性
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Pub Date : 1900-01-01DOI: 10.30970/vmm.2022.93.014-033
Taras Mokrytskyi
{"title":"THE MONOID OF ORDER ISOMORPHISMS BETWEEN PRINCIPAL FILTERS OF sigma Nkappa","authors":"Taras Mokrytskyi","doi":"10.30970/vmm.2022.93.014-033","DOIUrl":"https://doi.org/10.30970/vmm.2022.93.014-033","url":null,"abstract":"","PeriodicalId":277870,"journal":{"name":"Visnyk Lvivskogo Universytetu Seriya Mekhaniko-Matematychna","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124664041","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 : 1900-01-01DOI: 10.30970/vmm.2021.92.077-085
Nadia Ilash
References 1. J. H. Carruth, J. A. Hildebrant, and R. J. Koch, The Theory of Topological Semigroups, Vol. I, Marcel Dekker, Inc., New York and Basel, 1983; Vol. II, Marcel Dekker, Inc., New York and Basel, 1986. 2. I. Ya. Chuchman and O. V. Gutik, Topological monoids of almost monotone injective co-finite partial selfmaps of the set of positive integers, Carpathian Math. Publ. 2 (2010), no. 1, 119–132. 3. A. H. Clifford and G. B. Preston, The Algebraic Theory of Semigroups, Vol. I., Amer. Math. Soc. Surveys 7, Providence, R.I., 1961; Vol. II., Amer. Math. Soc. Surveys 7, Providence, R.I., 1967. 4. R. Engelking, General Topology, 2nd ed., Heldermann, Berlin, 1989. 5. O. Gutik and D. Repovš, Topological monoids of monotone, injective partial selfmaps of N having cofinite domain and image, Stud. Sci. Math. Hungar. 48 (2011), no. 3, 342–353. 6. M. Lawson, Inverse Semigroups. The Theory of Partial Symmetries, Singapore: World Scientific, 1998. 7. W. Ruppert, Compact Semitopological Semigroups: An Intrinsic Theory, Lect. Notes Math., 1079, Springer, Berlin, 1984.
参考文献 1.J. H. Carruth、J. A. Hildebrant 和 R. J. Koch，《拓扑半群理论》，第一卷，Marcel Dekker 公司，纽约和巴塞尔，1983 年；第二卷，Marcel Dekker 公司，纽约和巴塞尔，1986 年。2.I. Ya.Chuchman and O. V. Gutik, Topological monoids of almost monotone injective co-finite partial selfmaps of the set of positive integers, Carpathian Math. Pub.2 (2010), no. 1, 119-132.3.A. H. Clifford and G. B. Preston, The Algebraic Theory of Semigroups, Vol. I., Amer. Math.Math. Soc.Soc. Surveys 7, Providence, R.I., 1961; Vol.Soc. Surveys 7, Providence, R.I., 1961; Vol.Soc. Surveys 7, Providence, R.I., 1967.4.R. Engelking, General Topology, 2nd ed., Heldermann, Berlin, 1989.5.O. Gutik and D. Repovš, Topological monoids of monotone, injective partial selfmaps of N having cofinite domain and image, Stud.Sci.Hungar.48 (2011), no.3, 342-353.6.M. Lawson, Inverse Semigroups.The Theory of Partial Symmetries, Singapore：World Scientific, 1998.7.W. Ruppert, Compact Semitopological Semigroups：W. Ruppert, Compact Semitopological Semigroups: An Intrinsic Theory, Lect. Notes Math.Notes Math., 1079, Springer, Berlin, 1984.
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Pub Date : 1900-01-01DOI: 10.30970/vmm.2021.92.051-060
Markiian Khylynskyi, Pavlo Khylynskyi
We describe minimal topologies in some class of semigroup topologies on semigroups of matrix units
本文描述了一类矩阵单元半群上的半群拓扑中的极小拓扑
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Pub Date : 1900-01-01DOI: 10.30970/vmm.2021.91.063-071
Myroslav Sheremeta
{"title":"Neighborhoods of Dirichlet series absolutely convergent in a half-plane","authors":"Myroslav Sheremeta","doi":"10.30970/vmm.2021.91.063-071","DOIUrl":"https://doi.org/10.30970/vmm.2021.91.063-071","url":null,"abstract":"","PeriodicalId":277870,"journal":{"name":"Visnyk Lvivskogo Universytetu Seriya Mekhaniko-Matematychna","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125066936","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 : 1900-01-01DOI: 10.30970/vmm.2022.93.108-121
N. Buhrii, O. Buhrii, O. Domanska
Some nonlinear parabolic equation with the white noise is considered. The initial-boundary value problem for the equation is investigated and the existence and uniqueness of the weak solution for the problem are proved
考虑了一类具有白噪声的非线性抛物方程。研究了该方程的初边值问题，证明了该问题弱解的存在唯一性
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