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STUDIA MATHEMATICA - Issue no. 4 / 2023 | |||||||
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DIFFERENTIAL SUBORDINATION IMPLICATIONS FOR CERTAIN CARATHÉODORY FUNCTIONS. Authors: MEGHNA SHARMA, SUSHIL KUMAR, NAVEEN KUMAR JAIN. |
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Abstract: DOI: 10.24193/subbmath.2023.4.07 Received 14 March 2021; Accepted 16 April 2021. Published Online: 2023-12-11 Published Print: 2023-12-30 pp. 775-787 VIEW PDF FULL PDF In this article, we wish to establish some first order differential subordination relations for certain Carathéodory functions with nice geometrical properties. Moreover, several implications are determined so that the normalized analytic function belongs to various subclasses of starlike functions Mathematics Subject Classification (2010): 30C45. Keywords: Differential subordination, Carathéodory function, starlike functions, sufficient conditions |
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