Results 51 to 60 of about 4,250 (145)
THE SCHWARZIAN DERIVATIVES OF HARMONIC FUNCTIONS AND UNIVALENCE CONDITIONS
Проблемы анализа, 2017 In the paper we obtain some analogues of Nehari’s univalence conditions for sense-preserving functions that are harmonic in the unit disc D = {z ∈ C : |z| < 1}.
S. Yu. Graf
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The Schwarzian Derivative and Convex Functions [PDF]
Proceedings of the American Mathematical Society, 1955 3. Grace E. Bates, Free loops and nets and their generalizations, Amer. J. Math. vol. 69 (1947) pp. 499-550. 4. R. H. Bruck, An extension theory for a certain class of loops, Bull. Amer. Math. Soc. vol. 57 (1951) pp. 11-26. 5. , Loops with transitive automorphism groups, Pacific Journal of Mathematics vol. 1 (1951) pp. 481-483. 6. P. T.
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The Loewner–Kufarev energy and foliations by Weil–Petersson quasicircles
Proceedings of the London Mathematical Society, Volume 128, Issue 2, February 2024.Abstract We study foliations by chord–arc Jordan curves of the twice punctured Riemann sphere C∖{0}$\mathbb {C} \setminus \lbrace 0\rbrace$ using the Loewner–Kufarev equation. We associate to such a foliation a function on the plane that describes the “local winding” along each leaf. Our main theorem is that this function has finite Dirichlet energy if
Fredrik Viklund, Yilin Wang
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Families of Differential Equations in the Unit Disk
Journal of Mathematics, Volume 2019, Issue 1, 2019., 2019 We study the interaction between coefficient and solution conditions for complex linear differential equations in the unit disk within the context of normal families and corresponding families of differential equations. In addition, we consider this interaction within the context of normal functions in terms of Noshiro.
Kari E. Fowler, Ming-Sheng Liu
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N=3 super–Schwarzian from OSp(3|2) invariants
Physics Letters B, 2020 It was recently demonstrated that the N=0,1,2,4 super–Schwarzian derivatives can be constructed by applying the method of nonlinear realizations to the finite–dimensional (super)conformal groups SL(2,R), OSp(1|2), SU(1,1|1), and SU(1,1|2), respectively ...
Anton Galajinsky
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HARMONIC MAPPINGS WITH THE FIXED ANALYTIC PART
Проблемы анализа, 2021 In this article, we consider a class of sense-preserving harmonic mappings whose analytic part is convex in one direction. We prove that functions in this class are close-to-convex for certain values of parameters.
Rajbala, Jugal K. Prajapat
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N=4 Super-Schwarzian Theory on the Coadoint Orbit and PSU(1,1|2)
, 2018 An N=4 super-Schwarzian theory is formulated by the coadjoint orbit method. It is discovered that the action has symmetry under PSU(1,1|2).Comment: 19 pages, v3: Sec.
Aoyama, Shogo, Honda, Yuco
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Schwarzian derivative, Painlevé XXV–Ermakov equation, and Bäcklund transformations
Mathematische Nachrichten, Volume 297, Issue 1, Page 83-101, January 2024.Abstract The role of Schwarzian derivative in the study of nonlinear ordinary differential equations is revisited. Solutions and invariances admitted by Painlevé XXV–Ermakov equation, Ermakov equation, and third‐order linear equation in a normal form are shown to be based on solutions of the Schwarzian equation.
Sandra Carillo +3 more
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A characterization of Möbius transformations
International Journal of Mathematics and Mathematical Sciences, 2000 We give a new invariant characteristic property of Möbius transformations.
Piyapong Niamsup
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ON THE SCHWARZIAN NORM OF HARMONIC MAPPINGS
Проблемы анализа, 2016 We obtain estimations of the pre-Schwarzian and Schwarzian derivatives in terms of the order of family in linear and affine invariant families L of sense preserving harmonic mappings of the unit disk D.
S. Yu. Graf
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