A5047861237- Advanced Mathematical Identities
- Mathematical functions and polynomials
- Analytic Number Theory Research
- Advanced Combinatorial Mathematics
- Advanced Algebra and Geometry
- Iterative Methods for Nonlinear Equations
- Mathematics and Applications
- Advanced Mathematical Theories and Applications
- Polynomial and algebraic computation
- Algebraic structures and combinatorial models
- Fractional Differential Equations Solutions
- Advanced Numerical Analysis Techniques
- Mathematical Inequalities and Applications
- Functional Equations Stability Results
- Molecular spectroscopy and chirality
- Advanced Mathematical Theories
- Nonlinear Waves and Solitons
- Historical Astronomy and Related Studies
- Coding theory and cryptography
- Numerical methods in engineering
- Scientific Measurement and Uncertainty Evaluation
- Algebraic and Geometric Analysis
- Matrix Theory and Algorithms
- Electromagnetic Scattering and Analysis
- Algebraic Geometry and Number Theory
Hainan Medical University
2013-2025
Hainan Normal University
2021-2023
Shanghai Normal University
2015-2017
Hainan Medical College Hospital
2009-2016
Dalian University of Technology
2007
In 1987, Andrews and Baxter presented six kinds of [Formula: see text]-trinomial coefficients in exploring the solution a model statistical mechanics. this paper, we are going to give some text]-supercongruences for truncated forms these polynomials.
By applying the derivative operators to Chu–Vandermonde convolution, several general harmonic number identities are established.
Radial basis functions (RBF) provide powerful meshfree methods for multivariate interpolation scattered data. RBF have been praised their simplicity and ease of implementation in data approximation. But both the approximation quality stability depend on distribution center set. It leads immediately to problem finding good or even optimal point sets reconstruction process. Many are constructed choosing. In this paper, we give a short overview these algorithms including thinning algorithm,...
By means of the derivative operator and three hypergeometric series identities, several interesting summation formulas involving generalized harmonic numbers are established.
In terms of the telescoping method, a simple binomial sum is given. By applying derivative operators to equation just mentioned, we establish several general harmonic number identities including some known results.
Abstract The aim of this research is to provide many new hypergeometric transformations Kampé de Fériet’s double functions and Srivastava’s triple functions, which are obtained with the help relations Appell, Humbert, Horn multiple functions. results derived by beta integral method has been recently introduced studied systematically Krattenthaler Rao. MSC: 33C20, 33C05, 33B20.
In terms of the $q$-Saalschütz identity, creative microscoping method recently introduced by Guo and Zudilin [Adv. Math. 346 (2019), pp. 329–358], Chinese remainder theorem for coprime polynomials, we establish some $q$-supercongruences modulo third power a cyclotomic polynomial. particular, give $q$-analogue formula due to Long Ramakrishna 290 (2016), 773–808].