
doi: 10.3934/math.2021759
<abstract><p>The results presented in this paper highlight the property of the Gaussian hypergeometric function to be a Carathéodory function and refer to certain differential inequalities interpreted in form of inclusion relations for subsets of the complex plane using the means of the theory of differential superordination and the method of subordination chains also known as Löwner chains.</p></abstract>
gaussian hypergeometric function, convex function, Löwner chain, subordinant, differential superordination, univalent function, analytic function, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), best subordinant, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination, löwner chain, QA1-939, Gaussian hypergeometric function, Mathematics
gaussian hypergeometric function, convex function, Löwner chain, subordinant, differential superordination, univalent function, analytic function, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), best subordinant, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination, löwner chain, QA1-939, Gaussian hypergeometric function, Mathematics
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 4 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
