BIOGRAPHY
Jianhua Gong is currently an Associate Professor in the Department of Mathematical Sciences at UAE University. He earned his Ph.D. (and MS) in Pure Mathematics from The University of Auckland in New Zealand in 2005. He is also a popular faculty with his students at the University of Auckland and Soochow University in China. His main research interests are Geometric Analysis and Topology, particularly, geometric function theory, geometric groups, and topology and its applications. He solved the Hilbert-Smith conjecture for K-quasiconformal groups. His team used certain shifted Chebyshev polynomials and trace identities to determine new families of such inequalities for Kleinian groups. A central problem in the geometry of discrete groups and low-dimensional topology is determining when the principal character represents a Kleinian group.
EDUCATION
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Doctorate Degree, Doctor of Philosophy in Mathematics, Mathematics, The University of Auckland, 2005
RESEARCH AREAS
- Geometric Function Theory
- Topology
- Geometric Group Theory
RECENT PUBLICATIONS
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(2022). "Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions". Co-Authors: Isra Al-shbeil, et al.
(Correspondence: Jianhua Gong)
. Fractal and Fractional. 2022, 6, 658.. 16
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(2022). "Coefficient Inequalities for Multivalent Janowski Type q-Starlike Functions Involving Certain Conic Domains". Co-Authors: Isra Al-shbeil, et al.
(Correspondence: Jianhua Gong)
. Axioms. 2022, 11, 494.. 15
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(2022). "Applications of a q-Differential Operator to a Class of Harmonic Mappings Defined by q-Mittag–Leffler Functions". Co-Authors: Isra Al-shbeil, et al.
(Correspondence: Jianhua Gong)
. Symmetry. 2022, 14, 1905.. 19
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(2022). "Properties of q-Symmetric Starlike Functions of Janowski Type". Co-Authors: Isra Al-shbeil, et al.
(Correspondence: Jianhua Gong)
. Symmetry. 2022, 14, 1907.. 16
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(2022). "Projections in Moduli Spaces of the Kleinian Groups". Co-Authors: Hala Alaqad; Gaven Martin
(Correspondence: Jianhua Gong)
. Abstract and Applied Analysis. 2022, 6311193.. 10
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(2021). "Chebyshev polynomials and inequalities for Kleinian groups". Co-Authors: Hala Alaqad; Gaven Martin
(Correspondence: Jianhua Gong)
. Communications in Contemporary Mathematics. (2021) 2150102. 22
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(2016). "Some Characterizations of Mappings on Generalized Topological Spaces". Co-Authors: Xun Ge; Ivan Reilly
(Correspondence: Jianhua Gong)
. New Zealand Journal of Mathematics. 46. 9
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(2013). "Sequential Data Mining Methods for a Missing Attribute Value". Co-Authors: Xun Ge
(Correspondence: Jianhua Gong)
. Journal of Computational Information Systems. 9(17). 8
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(2010). "Hilbert-Smith Conjecture for K-Quasiconformal Groups". Co-Authors: . Fract. Calc. Appl. Anal.. 13. 10
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(2010). "Quasiconformal Convergence Groups on Domains". Co-Authors:
. International Journal of Mathematics and Computation. 6. 10