Estimates on Bloch constants for planar harmonic mappings

Article Properties
Cite
Liu, MingSheng. “Estimates on Bloch Constants for Planar Harmonic Mappings”. Science in China Series A: Mathematics, vol. 52, no. 1, 2008, pp. 87-93, https://doi.org/10.1007/s11425-008-0090-3.
Liu, M. (2008). Estimates on Bloch constants for planar harmonic mappings. Science in China Series A: Mathematics, 52(1), 87-93. https://doi.org/10.1007/s11425-008-0090-3
Liu, MingSheng. “Estimates on Bloch Constants for Planar Harmonic Mappings”. Science in China Series A: Mathematics 52, no. 1 (2008): 87-93. https://doi.org/10.1007/s11425-008-0090-3.
Liu M. Estimates on Bloch constants for planar harmonic mappings. Science in China Series A: Mathematics. 2008;52(1):87-93.
Refrences
Title Journal Journal Categories Citations Publication Date
Landau and Bloch theorems for harmonic mappings Complex Variables and Elliptic Equations
  • Science: Mathematics
 30 2006
Complex method of the plane elasticity in 2D quasicrystal with point group 10 mm tenfold rotational symmetry and holey problems Science in China Series E: Technological Sciences 18 2003
10.1007/BF03321062 Computational Methods and Function Theory
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2000
10.1090/S0002-9939-00-05590-8 Proceedings of the American Mathematical Society
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2000
10.1090/S0002-9904-1936-06397-4 1936
Refrences Analysis
Category Category Repetition
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods3
Science: Mathematics3
The category Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods 3 is the most frequently represented among the references in this article. It primarily includes studies from Proceedings of the American Mathematical Society and Computational Methods and Function Theory. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
Landau-Bloch type theorem for elliptic and quasiregular harmonic mappings Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Bloch-type theorems for meromorphic harmonic mappings Applicable Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Landau's theorem for harmonic Bloch functions on simply connected domains Complex Variables and Elliptic Equations
  • Science: Mathematics
 2024
Landau and Bloch constants for meromorphic functions Monatshefte für Mathematik
  • Science: Mathematics
 2 2023
Estimates on Bloch constants for certain log-p-harmonic mappings Monatshefte für Mathematik
  • Science: Mathematics
 2023
Citations Analysis
Category Category Repetition
Science: Mathematics35
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods17
Technology: Engineering (General). Civil engineering (General)1
Science: Mathematics: Instruments and machines: Electronic computers. Computer science1
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics1
Technology: Mechanical engineering and machinery1
The category Science: Mathematics 35 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Landau’s theorem for planar harmonic mappings and was published in 2009. The most recent citation comes from a 2024 study titled Landau's theorem for harmonic Bloch functions on simply connected domains. This article reached its peak citation in 2013, with 7 citations. It has been cited in 19 different journals, 10% of which are open access. Among related journals, the Journal of Mathematical Analysis and Applications cited this research the most, with 6 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year