Lu Jin

ORCID: 0000-0003-0889-9367
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About
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Research Areas
  • Analytic and geometric function theory
  • Holomorphic and Operator Theory
  • Quantum Dots Synthesis And Properties
  • Copper-based nanomaterials and applications
  • Chalcogenide Semiconductor Thin Films
  • Meromorphic and Entire Functions
  • Advanced Differential Equations and Dynamical Systems
  • Functional Equations Stability Results
  • Polymer Synthesis and Characterization
  • Differential Equations and Boundary Problems
  • Algebraic and Geometric Analysis

Anhui University
2021

Huzhou University
2011-2014

University of Science and Technology of China
2011-2014

In this paper, we first obtain a distortion theorem of Jacobian matrix $J_f(z)$ for biholomorphic starlike mapping $f$ along unit direction on the polydisc. This result extends classical functions to higher dimensions. We then give an upper bound estimate mappings in complex Banach space. Finally, propose two conjectures several variables.

10.11650/tjm.15.2011.1451 article EN Taiwanese Journal of Mathematics 2011-01-12

Let C be the familiar class of normalized close-to-convex functions in unit disk. In Koepf [On Fekete-Szegö problem for functions. Proc Amer Math Soc. 1987;101:89–95], proved that a function f(z)=z+∑k=2∞akzk C, |a3−λa22|≤{3−4λ,λ∈[0,13],13+49λ,λ∈[13,23],1,λ∈[23,1]. As an important application, same paper, showed ||a3|−|a2||≤1 this we extend above results to subclass close-to-quasi-convex mappings type B defined on polydisc Cn, and establish sharp difference bound second third coefficients...

10.1080/17476933.2021.1975115 article EN Complex Variables and Elliptic Equations 2021-09-13

In this paper, a subclass of convex mappings is defined on the unit ball in complex Banach spaces. Moreover, growth theorem, covering theorem and distortion with respect to Fréchet derivative for class are established.

10.1080/17476933.2014.976815 article EN Complex Variables and Elliptic Equations 2014-11-24

A low-cost non-vacuum process for fabrication of Cu2ZnSnSe4 (CZTSe) films by solvent-free mechanochemical method and spin-coating is described. First, highly monodisperse Cu, Zn, Sn oxides nanoparticles are synthesized via a facile, route. Second, the oxide particulate precursors deposited in thin layer technique. Finally, dry layers sintered into CZTSe selenization. Through X-ray diffraction (XRD), scanning electron microscopy (SEM), energy dispersive spectroscopy (EDS), it found that near...

10.4028/www.scientific.net/amr.418-420.597 article EN Advanced materials research 2011-12-06
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