Cover Image

The monodromy representation of a hypergeometric system in $m$ variables of rank $p^m$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kaneko, Jyoichi, Matsumoto, Keiji, Ohara, Katsuyoshi, Terasoma, Tomohide
Format:	Preprint
Published:	2025
Subjects:	Classical Analysis and ODEs 33C70, 32S40
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A system of hypergeometric differential equations in $m$ variables of rank $p^m$
by: Kaneko, Jyoichi, et al.
Published: (2024)

Weyl group action on Radon hypergeometric function and its symmetry
by: Kimura, Hironobu
Published: (2025)

On Radon hypergeometric functions on the Grassmannian manifold
by: Kimura, Hironobu
Published: (2025)

On the exterior power structure of the cohomology groups for the general hypergeometric integral
by: Kimura, Hironobu
Published: (2025)

Asymptotics of Saran's hypergeometric function $F_K$
by: Hang, Peng-Cheng, et al.
Published: (2024)

Jackson integral representation for a multiple $q$-hypergeometric series and an extension of the $q$-Riemann-Papperitz system
by: Nobukawa, Takahiko
Published: (2024)

Derivatives of Humbert confluent hypergeometric functions with respect to their parameters
by: Shehata, Ayman, et al.
Published: (2021)

Fourier transforms of orthogonal structures on the paraboloid
by: Çetin, Hasan Özkan, et al.
Published: (2025)

Capelli identity and contiguity relations of Radon hypergeometric function on the Grassmannian
by: Kimura, Hironobu
Published: (2025)

Gelfand hypergeometric function as a solution to the 2-dimensional Toda-Hirota equation
by: Kimura, Hironobu
Published: (2025)

Gelfand hypergeometric functions as solutions to the 2-dimensional Toda-Hirota equations II
by: Kimura, Hironobu
Published: (2025)

Symmetrical Sonin kernels in terms of the hypergeometric functions
by: Luchko, Yuri
Published: (2023)

Minimal cubature rules and Koornwinder polynomials
by: Xu, Yuan
Published: (2024)

Integral and hypergeometric representations for multiple orthogonal polynomials
by: Branquinho, Amílcar, et al.
Published: (2024)

Unveiling new perspectives of hypergeometric functions using umbral techniques
by: Dattoli, Giuseppe, et al.
Published: (2024)

Classical discrete multiple orthogonal polynomials: hypergeometric and integral representations
by: Branquinho, Amílcar, et al.
Published: (2024)

Wilf-Zeilberger seeds and non-trivial hypergeometric identities
by: Au, Kam Cheong
Published: (2023)

Asymptotics of the Humbert Function $Ψ_1$ for Two Large Arguments
by: Hang, Peng-Cheng, et al.
Published: (2024)

The singularities of Selberg- and Dotsenko-Fateev-like integrals
by: Sussman, Ethan
Published: (2023)

A Ramanujan's hypergeometric transformation formula, its validity range and implications
by: Shpot, M. A.
Published: (2024)

Two closed-form evaluations for the generalized hypergeometric function ${}_4F_3(\frac1{16})$
by: Rathie, Arjun K., et al.
Published: (2023)

The bispectral problem, the Darboux process, monodromy and the Hermite operator
by: Castro, M. M., et al.
Published: (2025)

Recurrence relations and applications for the Maclaurin coefficients of squared and cubic hypergeometric functions
by: Mao, Zhong-Xuan, et al.
Published: (2026)

On the Dotsenko-Fateev complex twin of the Selberg integral and its extensions
by: Neretin, Yury A.
Published: (2022)

Double integrals and transformation formulas for Appell--Lauricella hypergeometric functions $F_D$
by: Wang, Shihao, et al.
Published: (2026)

Asymptotics for some $q$-hypergeometric polynomials
by: Mañas-Mañas, Juan F., et al.
Published: (2025)

On the classification of hypergeometric families of orthogonal polynomials on the real line
by: Bernstein, Joseph, et al.
Published: (2024)

Fourier transforms of orthogonal polynomials on the cone
by: Karaman, Rabia Aktaş, et al.
Published: (2024)

On the application of a hypergeometric identity to generate generalized hypergeometric reduction formulas
by: González-Santander, J. L.
Published: (2025)

Umbral insights into a hybrid family of hypergeometric and Mittag-Leffler functions
by: Khan, Subuhi, et al.
Published: (2024)

Complete asymptotic expansions of the Humbert function $Ψ_1$ for two large arguments
by: Hang, Peng-Cheng, et al.
Published: (2024)

On two-term hypergeometric recursions with free lower parameters
by: Campbell, John M., et al.
Published: (2023)

A $q$-analogue of Gosper's strange evaluation of the hypergeometric series
by: Yamaguchi, Yuka
Published: (2025)

Basic hypergeometric identities derived from three-term relations
by: Yamaguchi, Yuka
Published: (2025)

Derivatives of Srivastava's hypergeometric functions with respect to their parameters
by: Shehata, Ayman, et al.
Published: (2021)

A Characterization of Macdonald's Jack Hypergeometric Series ${}_pF_q(x;α)$ and ${}_pF_q(x,y;α)$ via Differential Equations
by: Chen, Hong, et al.
Published: (2025)

An affirmative answer to an open problem on Ramanujan's asymptotic formula of zero-balanced hypergeometric function
by: Wang, Miao-kun, et al.
Published: (2025)

On a $_2F_1\big(\frac{1}{4}\big)$-identity due to Gosper
by: Hakimoglu-Brown, Cetin
Published: (2026)

Complex zeros of Bessel function derivatives and associated orthogonal polynomials
by: Chung, Seok-Young, et al.
Published: (2024)

An integrality phenomenon
by: Fürnsinn, Florian, et al.
Published: (2026)