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Composite Asymptotic Expansions

2013, 2012

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Leibniz, Newton, and Cauchy: A Complex Relationship

The American mathematical monthly, 2021-04, Vol.128 (4), p.367-369

2021

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Consistent systems of linear differential and difference equations

Journal of the European Mathematical Society : JEMS, 2019-01, Vol.21 (9), p.2751-2792

2019

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Monomial summability and doubly singular differential equations

Journal of Differential Equations, 2007-02, Vol.233 (2), p.485-511

2007

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A Simple Introduction to the Exponential Function

The College mathematics journal, 2024-03, Vol.55 (2), p.165-168

2024

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On the normal form of a system of differential equations with nilpotent linear part

Comptes rendus. Mathématique, 2003-01, Vol.336 (2), p.129-134

2003

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Tauberian theorems for k–summability with respect to an analytic germ

Journal of mathematical analysis and applications, 2020-09, Vol.489 (2), p.124174, Article 124174

2020

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Overstable analytic solutions for non-linear systems of difference equations with small step size containing an additional parameter

Journal of difference equations and applications, 2005-03, Vol.11 (3), p.183-213

2005

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ASYMPTOTIC EXPANSIONS AND SUMMABILITY WITH RESPECT TO AN ANALYTIC GERM

Publicacions matemàtiques, 2019-01, Vol.63 (1), p.3-79

2019

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A connection problem for a regular and an irregular singular point of complex ordinary differential equations

SIAM journal on mathematical analysis, 1984-03, Vol.15 (2), p.253-271

Schafke, Reinhard

1984

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Analytic normal forms for convergent saddle-node vector fields

Annales de l'Institut Fourier, 2015, Vol.65 (3), p.933-974

2015

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The Connection Problem for Two Neighboring Regular Singular Points of General Linear Complex Ordinary Differential Equations

SIAM journal on mathematical analysis, 1980-09, Vol.11 (5), p.863-875

Schafke, Reinhard

1980

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Composite asymptotic expansions and turning points of singularly perturbed ordinary differential equations

Comptes rendus. Mathématique, 2010-12, Vol.348 (23), p.1273-1277

2010

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Composite Asymptotic Expansions: General Study

Composite Asymptotic Expansions, 2012, p.17-41

2012

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Composite Expansions and Singularly Perturbed Differential Equations

Composite Asymptotic Expansions, 2012, p.81-118

2012

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Four Introductory Examples

Composite Asymptotic Expansions, 2012, p.1-15

2012

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A Theorem of Ramis–Sibuya Type

Composite Asymptotic Expansions, 2012, p.63-80

2012

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Composite Asymptotic Expansions: Gevrey Theory

Composite Asymptotic Expansions, 2012, p.43-61

2012

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Historical Remarks

Composite Asymptotic Expansions, 2012, p.151-153

2012

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The Connection Problem for General Linear Ordinary Differential Equations at Two Regular Singular Points with Applications in the Theory of Special Functions

SIAM journal on mathematical analysis, 1980-09, Vol.11 (5), p.848-862

1980

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Composite Asymptotic Expansions

Composite Asymptotic Expansions, 2012, Vol.2066

2012

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Intro

Composite Asymptotic Expansions, 2012, Vol.2066

2012

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Formal fundamental solutions of irregular singular differential equations depending upon parameters

Journal of dynamical and control systems, 2001-10, Vol.7 (4), p.501-533

SCHÄFKE, Reinhard

2001

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Classification of resonant equations

Journal of Differential Equations, 2004-12, Vol.207 (2), p.360-391

2004

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Zur Parameterabhängigkeit bei Differentialgleichungen

Journal für die reine und angewandte Mathematik, 1985 (361), p.1-10

1985

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Composite Asymptotic Expansions

Leibniz, Newton, and Cauchy: A Complex Relationship

Consistent systems of linear differential and difference equations

Monomial summability and doubly singular differential equations

A Simple Introduction to the Exponential Function

On the normal form of a system of differential equations with nilpotent linear part

Tauberian theorems for k–summability with respect to an analytic germ

Overstable analytic solutions for non-linear systems of difference equations with small step size containing an additional parameter

ASYMPTOTIC EXPANSIONS AND SUMMABILITY WITH RESPECT TO AN ANALYTIC GERM

A connection problem for a regular and an irregular singular point of complex ordinary differential equations

Analytic normal forms for convergent saddle-node vector fields

The Connection Problem for Two Neighboring Regular Singular Points of General Linear Complex Ordinary Differential Equations

Composite asymptotic expansions and turning points of singularly perturbed ordinary differential equations

Composite Asymptotic Expansions: General Study

Composite Expansions and Singularly Perturbed Differential Equations

Four Introductory Examples

A Theorem of Ramis–Sibuya Type

Composite Asymptotic Expansions: Gevrey Theory

Historical Remarks

The Connection Problem for General Linear Ordinary Differential Equations at Two Regular Singular Points with Applications in the Theory of Special Functions

Composite Asymptotic Expansions

Intro

Formal fundamental solutions of irregular singular differential equations depending upon parameters

Classification of resonant equations

Zur Parameterabhängigkeit bei Differentialgleichungen

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