Cover Image

Classification of the real Painlevé I transcendents by zeros and connection problem: an asymptotic study

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Huang, Yan, Li, Yu-Tian, Long, Wen-Gao
Format:	Preprint
Published:	2025
Subjects:	Classical Analysis and ODEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the asymptotics of real solutions for the Painlevé I equation
by: Long, Wen-Gao, et al.
Published: (2024)

Elliptic asymptotic behaviour of $q$-Painlevé transcendents
by: Holroyd, Joshua
Published: (2025)

Asymptotic and monodromy problems for higher-order Painlevé III equations
by: Wang, Zikang, et al.
Published: (2025)

Orthogonal polynomials: from Heun equations to Painlevé equations
by: Zhu, Mengkun, et al.
Published: (2024)

Elliptic asymptotics for the complete third Painlevé transcendents
by: Shimomura, Shun
Published: (2022)

Full Asymptotic Expansion of Monodromy Data for the First Painlevé Transcendent: Applications to Connection Problems
by: Long, Wen-Gao, et al.
Published: (2024)

A Chebyshev criterion for at most two non-zero limit cycles in Abel equations
by: Huang, Jianfeng, et al.
Published: (2025)

A new interpretation of Jimbo's formula for Painlevé VI
by: Wang, Zikang, et al.
Published: (2024)

Error bounds for the asymptotic expansions of the Jacobi polynomials
by: Huang, Xiao-Min, et al.
Published: (2025)

Kapaev's global asymptotics of the fourth Painlevé transcendents. Elliptic asymptotics
by: Shimomura, Shun
Published: (2024)

Elliptic asymptotic representation of the fifth Painlevé transcendents
by: Shimomura, Shun
Published: (2020)

On existence and properties of roots of third Painlevé' transcendents
by: Tertychniy, S. I.
Published: (2024)

Recurrence coefficients for the time-evolved Jacobi weight and discrete Painlevé equations on the $D_{5}$ Sakai surface
by: Zhu, Mengkun, et al.
Published: (2025)

Two error bounds of the elliptic asymptotics for the fifth Painlevé transcendents
by: Shimomura, Shun
Published: (2023)

Explicit error term of the elliptic asymptotics for the first Painlevé transcendents
by: Shimomura, Shun
Published: (2023)

On the interlacing property for zeros of Bessel functions
by: Hill, Dan J.
Published: (2025)

No zeros of the partial theta function in the unit disk
by: Kostov, Vladimir Petrov
Published: (2022)

Bounds for extreme zeros of Meixner-Pollaczek polynomials
by: Jooste, AS, et al.
Published: (2023)

Blend-to-zero operators for smooth transition functions
by: Méndez-Cruz, Ivan, et al.
Published: (2026)

A note on zeros of derivatives of ultraspherical Bessel functions
by: Jiang, Tao
Published: (2025)

On a minimisation problem related to the solenoidal uncertainty
by: Huang, Yi C., et al.
Published: (2025)

Lower bounds for high derivatives of smooth functions with given zeros
by: Goldman, Gil, et al.
Published: (2024)

Leading order asymptotics for non-local energies and the Read-Shockley law
by: Grabner, Peter J., et al.
Published: (2025)

Exponential asymptotics and higher-order Stokes phenomenon in singularly perturbed ODEs
by: Shelton, Josh, et al.
Published: (2023)

Differential transcendence of Bell numbers and relatives: a Galois theoretic approach
by: Bostan, Alin, et al.
Published: (2020)

Integral representations and zeros of the Lommel function and the hypergeometric $_1F_2$ function
by: Zullo, Federico
Published: (2023)

Capacitary Muckenhoupt Weight, BMO and BLO Spaces with Hausdorff Content, Factorization Theorems and Applications
by: Huang, Long, et al.
Published: (2025)

Orthogonal projection, dual Furstenberg problem, and discretized sum-product
by: Li, Longhui, et al.
Published: (2024)

Interlacing of zeros from different sequences of Meixner-Pollaczek, Pseudo-Jacobi and Continuous Hahn polynomials
by: Jooste, Aletta, et al.
Published: (2024)

Intersection patterns and connections to distance problems
by: Pham, Thang, et al.
Published: (2023)

A curved three-point pattern problem for fractal sets on the real line
by: Choudhary, Surjeet Singh, et al.
Published: (2026)

Center of mass distribution of the Jacobi unitary ensembles: Painleve V, asymptotic expansions
by: Zhan, Longjun, et al.
Published: (2018)

Asymptotics and numerics of zeros of polynomials that are related to Daubechies wavelets
by: Temme, Nico M.
Published: (1996)

On a problem inspired by Descartes' rule of signs
by: Kostov, Vladimir Petrov
Published: (2024)

Three realization problems about univariate polynomials
by: Kostov, Vladimir Petrov
Published: (2026)

Uniform periodic counterexamples to Carleson's convergence problem with polynomial symbols
by: Eceizabarrena, Daniel, et al.
Published: (2024)

A bilinear approach to the finite field restriction problem
by: Lewko, Mark
Published: (2024)

A note on identifiability for inverse problem based on observations
by: Petrica, Marian, et al.
Published: (2024)

A new approach to the Fourier extension problem for the paraboloid
by: Muscalu, Camil, et al.
Published: (2021)

Extension of tetration to real and complex heights
by: Ueda, Takeji
Published: (2021)