Cover Image

Explicit error term of the elliptic asymptotics for the first Painlevé transcendents

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Shimomura, Shun
Format:	Preprint
Published:	2023
Subjects:	Classical Analysis and ODEs 34M55, 34M56, 34M40, 34M60, 33E05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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)

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

Riemann-Hilbert characterisation of Painlevé 5 asymptotics and nonlinear monodromy-Stokes structure
by: Shimomura, Shun
Published: (2025)

Painlevé Property and Generating Functions for Asymptotics
by: Kitaev, A. V.
Published: (2025)

The Degenerate Third Painleve' Equation: Complete Asymptotic Classification of Solutions in the Neighbourhood of the Regular Singular Point
by: Kitaev, A. V., et al.
Published: (2025)

Trans-Series Asymptotics of Solutions to the Degenerate Painlevé III Equation: A Case Study
by: Vartanian, A.
Published: (2020)

Note on the Singularity Reduction of Isomonodromy Systems Associated with Garnier Systems
by: Iwaki, Kohei, et al.
Published: (2025)

The Boundary Condition for Some Isomonodromy Equations
by: Tang, Qian, et al.
Published: (2024)

Properties of some elliptic Hill's potentials
by: He, Wei, et al.
Published: (2022)

On $β=6$ Tracy-Widom distribution and the second Calogero-Painlevé system
by: Its, Alexander, et al.
Published: (2020)

Painlevé-III Monodromy Maps Under the $D_6\to D_8$ Confluence and Applications to the Large-Parameter Asymptotics of Rational Solutions
by: Barhoumi, Ahmad, et al.
Published: (2023)

Asymptotic properties of special function solutions of Painlevé III equation for fixed parameters
by: Pan, Hao, et al.
Published: (2024)

Asymptotic expansions for solutions of differential equations having coalescing turning points, with an application to Legendre functions
by: Dunster, T. M.
Published: (2025)

Uniform asymptotic expansions for generalised trigonometric integrals and their zeros
by: Dunster, T. M.
Published: (2025)

Semiclassical expansion for exactly solvable differential operators
by: Borrego-Morell, Jorge A., et al.
Published: (2024)

Simplified Airy function Asymptotic expansions for Reverse Generalised Bessel Polynomials
by: Dunster, T. M.
Published: (2025)

Uniform Asymptotic approximation and numerical evaluation of the Reverse Generalized Bessel Polynomial zeros
by: Dunster, T. M., et al.
Published: (2025)

Simplified uniform asymptotic expansions for associated Legendre and conical functions
by: Dunster, T. M.
Published: (2024)

Asymptotic expansions for solutions of differential equations having a coalescing turning point and double pole, with an application to Legendre functions
by: Dunster, T. M.
Published: (2025)

Another approach to WKB analysis
by: Ouchi, Sunao
Published: (2026)

Resurgence of Tritronquées Solutions of the Deformed Painlevé I Equation
by: Alameddine, Mohamad, et al.
Published: (2025)

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

On Bureau's classification of quadratic differential equations in two variables free of movable critical points
by: Guillot, Adolfo
Published: (2024)

On the Borel summability of formal solutions of certain higher-order linear ordinary differential equations
by: Nemes, Gergő
Published: (2023)

Uniform asymptotic expansions for Gegenbauer polynomials and related functions via differential equations having a simple pole
by: Dunster, T. M.
Published: (2022)

Spaces of initial conditions for quartic Hamiltonian systems of Painlevé and quasi-Painlevé type
by: Dell'Atti, Marta, et al.
Published: (2024)

Orthogonal Polynomials for the Gaussian Weight with a Jump and Discrete Painlevé Equations
by: Dzhamay, Anton, et al.
Published: (2025)

Accessory Parameter of Confluent Heun Equations, Voros Periods and classical irregular conformal blocks
by: Iwaki, Kohei, et al.
Published: (2026)

Exponentially-improved asymptotics for $q$-difference equations: ${}_2ϕ_0$ and $q{\rm P}_{\rm I}$
by: Joshi, Nalini, et al.
Published: (2024)

Asymptotics of Polynomials Orthogonal With Respect to a Generalized Freud Weight With Application to Special Function Solutions of Painlevé-IV
by: Barhoumi, Ahmad
Published: (2023)

An asymptotic expansion of eigenpolynomials for a class of linear differential operators
by: Borrego-Morell, Jorge A.
Published: (2024)

Geometric approach for the identification of Hamiltonian systems of quasi-Painlevé type
by: Dell'Atti, Marta, et al.
Published: (2024)

An Exact Perturbative Existence and Uniqueness Theorem
by: Nikolaev, Nikita
Published: (2022)

Kernels and point processes associated with Whittaker functions
by: Blower, Gordon, et al.
Published: (2015)

Differential Equations for Approximate Solutions of Painlevé Equations: Application to the Algebraic Solutions of the Painlevé-III $({\rm D}_7)$ Equation
by: Buckingham, Robert J., et al.
Published: (2023)

Fuchsian differential equations of order 3,...,6 with three singular points and an accessory parameter
by: Haraoka, Yoshishige, et al.
Published: (2023)

Shift operators of the Dotsenko-Fateev equation and its higher order versions
by: Haraoka, Yoshishige, et al.
Published: (2021)

Geometry and Resurgence of WKB Solutions of Schrödinger Equations
by: Nikolaev, Nikita
Published: (2024)