Norm Estimation for Pre-Schwarzian and Schwarzian Derivatives of Some Univalent Functions
Ukrainian Mathematical JournalUDC 517.5 Our purpose is to obtain estimates for the norms of Schwarzian and pre-Schwarzian derivatives of strongly starlike functions and strongly convex functions of order $\alpha$ and type $\beta.$ In addition, we present an example of a function $f \in S^*(\alpha, \beta)$ that cannot be $k$-quasiconformally extended for any $k < \alpha(1 ...
Xiaobin Wu, Wanghao Zhu
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, 2019 Some generalizations of the Sachdev-Ye-Kitaev (SYK) model and different patterns of their reparametrization symmetry breaking are discussed. The analysis of such (pseudo)holographic systems relates their generalized one-dimensional Schwarzian dynamics to
Khveshchenko, D. V.
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Rigidity of critical circle mappings, I
, 1997 We prove that two $C^r$ critical circle maps with the same rotation number of bounded type are $C^{1+\alpha}$ conjugate for some $\alpha>0$ provided their successive renormalizations converge together at an exponential rate in the $C^0$ sense. The number
de Faria, Edson, de Melo, Welington
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J High Energy Phys, 2022 Harlow D, Wu JQ.
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On the pre-Schwarzian and Schwarzian derivatives of log-harmonic mappings
This article, completed in April 2025, is 19 pages long and includes one ...
Biswas, Raju, Mandal, Rajib
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Biophysics (Oxf), 2022 Perevaryukha AY.
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J Math Neurosci, 2013 Baesens C, Mackay R.
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Notes on the norm of pre-Schwarzian derivatives on bi-univalent functions of order $\alpha$
, 2019 In the present paper we estimate the norm of the pre-Schwarzian derivative of bi-starlike functions of order $\alpha$ where $\alpha\in[0,1)$. Initially this problem was handled by Rahmatan et al. in [Bull Iran Math Soc {\bf43}: 1037-1043, 2017]. We pointed out that the proofs and bounds by Rahmatan et al.
Mahzoon, H., Kargar, R.
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Quasiconformal deformation of the chordal Loewner driving function and first variation of the Loewner energy. [PDF]
Math AnnSung J, Wang Y.
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