- Asymptotic expansions of the Humbert Function Φ1 and their applications
2025/04/12 by Peng-Cheng Hang, Liangjian Hu, Hang, Peng-Cheng +2 · 1 citation
Mathematics · #33C65 #41A60 #82C20 #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #Mathematical functions and polynomials
- Asymptotics of Saran's hypergeometric function FK
2024/05/01 by Peng-Cheng Hang, Hang, Peng-Cheng, Min-Jie Luo +1 · 1 citation
Mathematics · #33C05 #33C65 #33C70 #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Mathematics and Applications
- Lauricella's FC with finite irreducible monodromy group
2019/05/01 by Goto, Yoshiaki · 1 citation
#32S40 #33C65 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
- Relative twisted homology and cohomology groups associated with Lauricella's FD
2018/04/02 by Keiji Matsumoto, Matsumoto, Keiji · 2 citations
Computer Science · Mathematics · #33C65 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Primary 55N25 #Secondary 55N33
- Monodromy representations of hypergeometric systems with respect to fundamental series solutions
2015/02/06 by Keiji Matsumoto, Matsumoto, Keiji · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #32S40 #33C20 #33C65 #34M35 #58K10 #Algebraic Geometry (math.AG) #FOS: Mathematics #Nonlinear Waves and Solitons #Numerical methods for differential equations #Polynomial and algebraic computation
- Contiguity relations of Lauricella's FD revisited
2014/12/10 by Yoshiaki Gotō, Goto, Yoshiaki · 2 citations
Computer Science · Engineering · Physics and Astronomy · #33C65 #33C90 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Waves and Solitons #Polynomial and algebraic computation
- The monodromy representation of Lauricella's hypergeometric function FC
2014/03/07 by Yoshiaki Gotō, Goto, Yoshiaki · 2 citations
Computer Science · Engineering · Physics and Astronomy · #14F35 #32S40 #33C65 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Waves and Solitons #Polynomial and algebraic computation
- The monodromy representation and twisted period relations for Appell's hypergeometric function F4
2013/10/16 by Yoshiaki Goto, Goto, Yoshiaki, Keiji Matsumoto +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #32G20 #32S40 #33C65 #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Waves and Solitons #Polynomial and algebraic computation
- Bivariate second--order linear partial differential equations and orthogonal polynomial solutions
2011/01/13 by Iván Area, E. Godoy, Area, I. +5 · 1 citation
Mathematics · Physics and Astronomy · #33C50 #33C65 #33C70 #42C05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical functions and polynomials #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics
- On the Abel-Jacobi maps of Fermat Jacobians
2010/03/01 by Otsubo, Noriyuki · 1 citation
#14C25 #33C20 #33C65 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)