{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T00:41:07Z","timestamp":1760402467457,"version":"build-2065373602"},"reference-count":17,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2022,1,15]],"date-time":"2022-01-15T00:00:00Z","timestamp":1642204800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100018227","name":"National Research Foundation of Ukraine","doi-asserted-by":"publisher","award":["2020.02\/0025, 0120U103996"],"award-info":[{"award-number":["2020.02\/0025, 0120U103996"]}],"id":[{"id":"10.13039\/100018227","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>The present paper is devoted to the properties of entire vector-valued functions of bounded L-index in join variables, where L:Cn\u2192R+n is a positive continuous function. For vector-valued functions from this class we prove some propositions describing their local properties. In particular, these functions possess the property that maximum of norm for some partial derivative at a skeleton of polydisc does not exceed norm of the derivative at the center of polydisc multiplied by some constant. The converse proposition is also true if the described inequality is satisfied for derivative in each variable.<\/jats:p>","DOI":"10.3390\/axioms11010031","type":"journal-article","created":{"date-parts":[[2022,1,16]],"date-time":"2022-01-16T20:44:00Z","timestamp":1642365840000},"page":"31","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Vector-Valued Entire Functions of Several Variables: Some Local Properties"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0598-2237","authenticated-orcid":false,"given":"Andriy Ivanovych","family":"Bandura","sequence":"first","affiliation":[{"name":"Department of Advanced Mathematics, Ivano-Frankivsk National Technical Unuversity of Oil and Gas, 76019 Ivano-Frankivsk, Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9469-7459","authenticated-orcid":false,"given":"Tetyana Mykhailivna","family":"Salo","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Lviv Polytechnic National University, 79000 Lviv, Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5217-8394","authenticated-orcid":false,"given":"Oleh Bohdanovych","family":"Skaskiv","sequence":"additional","affiliation":[{"name":"Department of Mechanics and Mathematics, Ivan Franko National University of Lviv, 79000 Lviv, Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,15]]},"reference":[{"key":"ref_1","first-page":"67","article-title":"Vector-valued bivariate entire functions of bounded index satisfying a system of differential equations","volume":"49","author":"Nuray","year":"2018","journal-title":"Mat. 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Mech.-Math."},{"key":"ref_14","first-page":"152","article-title":"Boundedness of l-index of analytic curves","volume":"36","author":"Bordulyak","year":"2011","journal-title":"Mat. Stud."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1515\/dema-2019-0008","article-title":"Analytic functions in the unit ball of bounded L-index in joint variables and of bounded L-index in direction: A connection between these classes","volume":"52","author":"Bandura","year":"2019","journal-title":"Demonstr. Math."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"56","DOI":"10.30970\/ms.54.1.56-63","article-title":"Entire multivariate vector-valued functions of bounded L-index: Analog of Fricke\u2019s theorem","volume":"54","author":"Bandura","year":"2020","journal-title":"Mat. 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