{"title":"Geometric properties of normalized Le Roy-type Mittag-Leffler functions","authors":"K. Mehrez, D. Bansal","doi":"10.54503/0002-3043-2022.57.6-32-48","DOIUrl":"https://doi.org/10.54503/0002-3043-2022.57.6-32-48","url":null,"abstract":"The main focus of the present paper is to establish sufficient conditions for the\u0000parameters of the normalized form of the generalized Le Roy-type Mittag-Leffler function have certain geometric properties like close-to-convexity, univalency, convexity and starlikeness inside the unit disc. The results obtained are new and their usefulness is depicted by deducing several interesting corollaries. The results obtained improve some several results available in the literature for the Mittag-Leffler function.","PeriodicalId":388049,"journal":{"name":"Proceedings of NAS RA. Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122568740","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":"On a Riemann boundary value problem in the space of p-summable functions with infinite index","authors":"S. Aghekyan","doi":"10.54503/0002-3043-2022.57.6-3-11","DOIUrl":"https://doi.org/10.54503/0002-3043-2022.57.6-3-11","url":null,"abstract":"Abstract. The paper considers the Riemann boundary value problem in the half-plane in the space Lp(ρ), where weight function ρ(x) has infinite number of zeros. A necessary and sufficient condition is obtained for the normal solvability and Noetherianness of the considered problem. If the problem is solvable, solutions are represented in an explicit form.","PeriodicalId":388049,"journal":{"name":"Proceedings of NAS RA. Mathematics","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114175223","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}
С. А. Епископосян, Тигран Мартинович Григорян, Л. С. Симонян
{"title":"О Lp-гриди универсальных функциях относительно обобщенной системы Уолша","authors":"С. А. Епископосян, Тигран Мартинович Григорян, Л. С. Симонян","doi":"10.54503/0002-3043-2022.57.6-17-31","DOIUrl":"https://doi.org/10.54503/0002-3043-2022.57.6-17-31","url":null,"abstract":"В настоящей работе построена функция U ∈ L1[0, 1) которая обладает гриди универсальностью относительно обобщенной системе Уолша.","PeriodicalId":388049,"journal":{"name":"Proceedings of NAS RA. Mathematics","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132178642","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":"O произведении подмножеств в переодических группах","authors":"Варужан Сергеевич Атабекян, Вардгес Микаелян","doi":"10.54503/0002-3043-2022.57.6-12-16","DOIUrl":"https://doi.org/10.54503/0002-3043-2022.57.6-12-16","url":null,"abstract":"Доказывается, что для любого конченого симметризованного подмножества S свободной бернсайдовой группы B(m, n) имеет место неравенство |St| ≥ 4 · 2.9t/(400s)3 , где s – наименьший нечетный делитель числа n, удовлетворяющий неравенству s ≥ 1003.","PeriodicalId":388049,"journal":{"name":"Proceedings of NAS RA. Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129515995","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":"Об одной системе интегральных уравнений на всей прямой с выпуклой и монотонной нелинейностью","authors":"А. Х. Хачатрян, Хачатур Агавардович Хачатрян","doi":"10.54503/0002-3043-2022.57.5-65-80","DOIUrl":"https://doi.org/10.54503/0002-3043-2022.57.5-65-80","url":null,"abstract":"","PeriodicalId":388049,"journal":{"name":"Proceedings of NAS RA. Mathematics","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125915930","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}
Хачатур Агавардович Хачатрян, K. A. Khachatryan, Айкануш Самвеловна Петросян, H. S. Petrosyan
{"title":"О суммируемых решениях двумерных интегральных уравнений типа Вольтерра с монотонной нелинейностью на четверти плоскости","authors":"Хачатур Агавардович Хачатрян, K. A. Khachatryan, Айкануш Самвеловна Петросян, H. S. Petrosyan","doi":"10.54503/0002-3043-2022.57.5-55-64","DOIUrl":"https://doi.org/10.54503/0002-3043-2022.57.5-55-64","url":null,"abstract":"В работе исследуется один класс нелинейных интегральных уравнений с некомпактным монотонным оператором Гаммерштейна-Немыцкого на всей числовой прямой. Данный класс уравнений находит широкое применение в различных областях естествознания. В частности, такие уравнения возникают в математической биологии и в теории переноса излучения. Доказывается конструктивная теорема существования неотрицательного нетривиального суммируемого и ограниченного решения. Изучается также асимптотическое поведение решения на $pminfty$. В конце работы приведены конкретные примеры указанных уравнений, удовлетворяющие всем условиям доказанной теоремы существования. В одном важном частном случае удается также доказать теорему единственности в определенном классе существенно ограниченных функций.\u0000Библиография: 13 наименований.","PeriodicalId":388049,"journal":{"name":"Proceedings of NAS RA. Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122741747","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":"О сравнении мощностичастично гипоэллиптических многочленов","authors":"В. Н. Маргарян, Г. Г. Казарян","doi":"10.54503/0002-3043-2022.57.5-25-33-43","DOIUrl":"https://doi.org/10.54503/0002-3043-2022.57.5-25-33-43","url":null,"abstract":"","PeriodicalId":388049,"journal":{"name":"Proceedings of NAS RA. Mathematics","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121139904","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":"О построении общего решения неустойчивой системы дифференциальных уравнений","authors":"М. Г. Мурадян","doi":"10.54503/0002-3043-2022.57.5-44-54","DOIUrl":"https://doi.org/10.54503/0002-3043-2022.57.5-44-54","url":null,"abstract":"","PeriodicalId":388049,"journal":{"name":"Proceedings of NAS RA. Mathematics","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129237336","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":"Об интегральных операторах Вольтерра и Винера-Хопфа и соответствующих уравнениях первого рода","authors":"Левон Гургенович Арабаджян","doi":"10.54503/0002-3043-2022.57.5-4-14","DOIUrl":"https://doi.org/10.54503/0002-3043-2022.57.5-4-14","url":null,"abstract":"","PeriodicalId":388049,"journal":{"name":"Proceedings of NAS RA. Mathematics","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122004651","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}