Cover Image

Asymptotic expansions for solutions of differential equations having a coalescing turning point and double pole, with an application to Legendre functions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Dunster, T. M.
Format:	Preprint
Published:	2025
Subjects:	Classical Analysis and ODEs 34E05, 34M60, 33C05, 33C10, 34E20
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

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

Uniform asymptotic expansions for the zeros of Bessel functions
by: Dunster, T. M.
Published: (2023)

Uniform asymptotic expansions for Bessel functions of imaginary order and their zeros
by: Dunster, T. M.
Published: (2024)

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

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

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

Error bounds for a uniform asymptotic approximation of the zeros of the Bessel function $J_ν(x)$
by: Dunster, T. M.
Published: (2024)

Uniform asymptotic expansions for the zeros of parabolic cylinder functions
by: Dunster, T. M., et al.
Published: (2024)

Asymptotic behavior of zeros of Bessel function derivatives
by: Baricz, Árpád, et al.
Published: (2025)

Asymptotic error in the eigenfunction expansion for the Green's function of a Sturm-Liouville problem
by: Habermann, Karen
Published: (2021)

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

Theory on linear L-fractional differential equations and a new Mittag-Leffler-type function
by: Jornet, Marc
Published: (2024)

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

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

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

Resurgence in the Transition Region: The Incomplete Gamma Function
by: Nemes, Gergő
Published: (2024)

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

Singular solutions of the matrix Bochner problem: the $N$-dimensional cases
by: Parisi, Ignacio Bono, et al.
Published: (2024)

A $3\times 3$ singular solution to the Matrix Bochner Problem with $\mathcal{D}(W)$ not of the form $\mathbb{C}[D]$
by: Parisi, Ignacio Bono
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)

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

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

Hyperasymptotics for linear difference equations with an irregular singularity of rank one: Polynomial coefficients
by: Nemes, Gergő
Published: (2025)

A new form of asymptotic expansion for non-smooth differential equations with time-decaying forcing functions
by: Hoang, Luan
Published: (2023)

Asymptotic solutions of the boundary value problems for the singularly perturbed differential algebraic equations with a turning point
by: Samusenko, P.
Published: (2025)

On the Hill Discriminant of Lamé's Differential Equation
by: Volkmer, Hans
Published: (2023)

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

On the connection coefficients for linear differential systems with applications to the spheroidal and ellipsoidal wave equation
by: Schmid, Harald
Published: (2023)

Full semiclassical asymptotics near transition points
by: Sussman, Ethan
Published: (2023)

Darboux transformations and the algebra $\mathcal{D}(W)$
by: Parisi, Ignacio Bono, et al.
Published: (2023)

The algebra $\mathcal{D}(W)$ via strong Darboux transformations
by: Parisi, Ignacio Bono, et al.
Published: (2024)

Structure of operator algebras for matrix orthogonal polynomials
by: Parisi, Ignacio Bono, et al.
Published: (2025)

Explicit construction of matrix-valued orthogonal polynomials of arbitrary size
by: Parisi, Ignacio Bono
Published: (2025)

Repeated Eigenvalues Imply Nodes? A Problem of Planar Differential Equations
by: Odani, Kenzi
Published: (2025)

On the separation of solutions to fractional differential equations of order $α\in (1,2)$
by: Chaudhary, Renu, et al.
Published: (2024)

Weighted $L_\infty$ Asymptotic Characterisation of Perturbed Autonomous Linear Ordinary and Stochastic Differential Equations: Part I -- ODEs
by: Appleby, John A. D., et al.
Published: (2024)

Trajectories of vector fields asymptotic to formal invariant curves
by: Gal, Olivier Le, et al.
Published: (2023)