Results 11 to 20 of about 4,250 (145)

Carleson Measure of Harmonic Schwarzian Derivatives Associated with a Finitely Generated Fuchsian Group of the Second Kind

Journal of Function Spaces, 2021
Let SHf be the Schwarzian derivative of a univalent harmonic function f in the unit disk D, compatible with a finitely generated Fuchsian group G of the second kind.
Guangming Hu, Yutong Liu, Yu Sun, Xinjie Qian   +3 more
doaj   +2 more sources

Constructions of the Soluble Potentials for the Nonrelativistic Quantum System by Means of the Heun Functions

Advances in High Energy Physics, 2018
The Schrödinger equation ψ′′(x)+κ2ψ(x)=0 where κ2=k2-V(x) is rewritten as a more popular form of a second order differential equation by taking a similarity transformation ψ(z)=ϕ(z)u(z) with z=z(x).
Shishan Dong, G. Yáñez-Navarro, M. A. Mercado Sanchez, C. Mejía-García, Guo-Hua Sun, Shi-Hai Dong   +5 more
doaj   +2 more sources

Neck-pinching of C P 1 -structures in the PSL 2 C -character variety. [PDF]

J Topol
Abstract We characterize a certain neck‐pinching degeneration of (marked) CP1$\mathbb {C}{\rm P}^1$‐structures on a closed oriented surface S$S$ of genus at least two. In a more general setting, we take a path of CP1$\mathbb {C}{\rm P}^1$‐structures Ct(t⩾0)$C_t \nobreakspace (t \geqslant 0)$ on S$S$ that leaves every compact subset in its deformation ...
Baba S.
europepmc   +2 more sources

Value distribution of exponential polynomials and their role in the theories of complex differential equations and oscillation theory

Bulletin of the London Mathematical Society, Volume 55, Issue 1, Page 1-77, February 2023., 2023
Abstract An exponential polynomial is a finite linear sum of terms P(z)eQ(z)$P(z)e^{Q(z)}$, where P(z)$P(z)$ and Q(z)$Q(z)$ are polynomials. The early results on the value distribution of exponential polynomials can be traced back to Georg Pólya's paper published in 1920, while the latest results have come out in 2022.
Janne Heittokangas, Katsuya Ishizaki, Kazuya Tohge, Zhi‐Tao Wen   +3 more
wiley   +1 more source

CTE Solvability, Nonlocal Symmetry, and Interaction Solutions of Coupled Integrable Dispersionless System

Complexity, Volume 2022, Issue 1, 2022., 2022
The consistent tanh expansion (CTE) method is successfully applied to the coupled integrable dispersionless (CID) system. A nonauto‐Bäcklund transformation (BT) theorem includes two fields f and v1 is obtained by using the CTE method. One obtains the consistent condition in the nonauto‐BT theorem by means of the relation between the fields f and v1 ...
Jun Yu, Bo Ren, Ping Liu, Jia-Li Zhou, Ning Cai   +4 more
wiley   +1 more source

Nonlocal Symmetry, CRE Solvability, and Exact Interaction Solutions of the (2 + 1)‐Dimensional Boussinesq Equation

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
The (2 + 1)‐dimensional Boussinesq equation is considered in this study. Nonlocal symmetries of the (2 + 1)‐dimensional Boussinesq equation are obtained by means of the truncated Painlevé expansion. The consistent Riccati expansion (CRE) solvability of the Boussinesq equation is derived. Three special forms of soliton‐cnoidal wave interaction solutions
Sixing Tao, Ram Jiwari
wiley   +1 more source

Some Characterizations of Weighted Holomorphic Function Classes by Univalent Function Classes

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
Some characterizations of QK,ω(p, q)− type classes of holomorphic functions by Schwarzian derivatives with known conformal‐type mappings are introduced in the present manuscript. Moreover, the action of the pre‐Schwarzian derivatives on QK,ω(p, q)− type classes, typically the univalent ones by using concerned Carleson‐type measures, is investigated. In
A. El-Sayed Ahmed, S. Omran, Shuangping Tao   +2 more
wiley   +1 more source

On the global attractor of delay differential equations with unimodal feedback not satisfying the negative Schwarzian derivative condition

Electronic Journal of Qualitative Theory of Differential Equations, 2020
We study the size of the global attractor for a delay differential equation with unimodal feedback. We are interested in extending and complementing a dichotomy result by Liz and Röst, which assumed that the Schwarzian derivative of the nonlinear ...
Daniel Franco, Chris Guiver, Hartmut Logemann, Juan Perán   +3 more
doaj   +1 more source

JT gravity from holographic reduction of 3D asymptotically flat spacetime

Journal of High Energy Physics, 2023
We attempt to understand the CFT1 structure underlying (2+1)D gravity in flat spacetime via dimensional reduction. We observe that under superrotation, the hyperbolic (and dS2) slices of flat spacetime transform to asymptotically (A)dS2 slices.
Arindam Bhattacharjee, Muktajyoti Saha
doaj   +1 more source

Subordinations and Norm Estimates for Functions Associated with Ma-Minda Subclasses

Mathematics, 2022
For a function p analytic in the open unit disc and satisfying p(0)=1, we prove certain subordination implications of the first order differential subordination 1+zp′(z)≺1+Mz, which provides sufficient conditions for a function to belong to various ...
Aaisha Farzana Habibullah, Muthusamy Palani Jeyaraman, Teodor Bulboacă   +2 more
doaj   +1 more source