A Study of Certain Geometric Properties and Hardy Spaces of the Normalized Miller-Ross Function
The main objective of this research is to investigate specific sufficiency criteria for the strongly starlikeness, strongly convexity, starlikeness, convexity and pre-starlikeness of the normalized Miller-Ross function. Furthermore, we establish sufficient conditions under which the normalized Mille...
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| Vydané v: | Mathematics (Basel) Ročník 13; číslo 12; s. 1919 |
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| Hlavní autori: | , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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| Abstract | The main objective of this research is to investigate specific sufficiency criteria for the strongly starlikeness, strongly convexity, starlikeness, convexity and pre-starlikeness of the normalized Miller-Ross function. Furthermore, we establish sufficient conditions under which the normalized Miller-Ross function belongs to Hardy spaces and the class-bounded analytic functions. Some of the various results which are derived in this paper are presumably new and their significance is illustrated through several interesting examples. |
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| AbstractList | The main objective of this research is to investigate specific sufficiency criteria for the strongly starlikeness, strongly convexity, starlikeness, convexity and pre-starlikeness of the normalized Miller-Ross function. Furthermore, we establish sufficient conditions under which the normalized Miller-Ross function belongs to Hardy spaces and the class-bounded analytic functions. Some of the various results which are derived in this paper are presumably new and their significance is illustrated through several interesting examples. |
| Audience | Academic |
| Author | Alenazi, Abdulaziz Mehrez, Khaled Abubakr, Muhammad Raza, Mohsan |
| Author_xml | – sequence: 1 givenname: Muhammad surname: Abubakr fullname: Abubakr, Muhammad – sequence: 2 givenname: Mohsan orcidid: 0000-0001-7466-7930 surname: Raza fullname: Raza, Mohsan – sequence: 3 givenname: Abdulaziz orcidid: 0000-0002-4758-8871 surname: Alenazi fullname: Alenazi, Abdulaziz – sequence: 4 givenname: Khaled orcidid: 0000-0001-9948-3636 surname: Mehrez fullname: Mehrez, Khaled |
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| Cites_doi | 10.1007/s43037-020-00059-w 10.1007/BF02803399 10.1007/978-3-642-12230-9 10.1090/S0002-9939-1975-0374403-3 10.1090/S0002-9947-1962-0140674-7 10.1007/s40995-022-01268-8 10.3390/fractalfract6020054 10.1007/s13324-018-0243-7 10.2307/1968451 10.1216/rmjm/1008959684 10.1186/s13660-024-03117-1 10.3934/math.2020203 10.1090/S0002-9939-1990-1017006-8 10.1016/0022-247X(86)90329-X 10.1080/10652469.2014.983502 10.1007/s13324-022-00678-6 10.1080/17476933.2015.1079628 10.55730/1300-0098.3388 10.1007/s40840-021-01082-2 10.1090/S0002-9939-1975-0369678-0 |
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| StartPage | 1919 |
| SubjectTerms | Analytic functions Convex analysis convex functions Convexity Functional equations Functions Geometry Inequality Mathematical analysis Mathematical functions Miller-Ross functions starlike functions strongly starlike functions univalent functions |
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| Title | A Study of Certain Geometric Properties and Hardy Spaces of the Normalized Miller-Ross Function |
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