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1. Divergent Series, Summability and Resurgence III : Resurgent Methods and the First Painlevé Equation
by Eric Delabaere
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2155
オンライン: http://dx.doi.org/10.1007/978-3-319-29000-3
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目次情報: 続きを見る
Avant-Propos
Preface to the three volumes
Preface to this volume
Some elements about ordinary differential equations
The first Painlevé equation
Tritruncated solutions for the first Painlevé equation
A step beyond Borel-Laplace summability
Transseries and formal integral for the first Painlevé equation
Truncated solutions for the first Painlevé equation
Supplements to resurgence theory
Resurgent structure for the first Painlevé equation
Index
Avant-Propos
Preface to the three volumes
Preface to this volume
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2. Spherical Harmonics and Approximations on the Unit Sphere: An Introduction
by Kendall Atkinson, Weimin Han
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012
シリーズ名: Lecture Notes in Mathematics ; 2044
オンライン: http://dx.doi.org/10.1007/978-3-642-25983-8
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1 Preliminaries
2 Spherical Harmonics
3 Differentiation and Integration over the Sphere
4 Approximation Theory
5 Numerical Quadrature
6 Applications: Spectral Methods
1 Preliminaries
2 Spherical Harmonics
3 Differentiation and Integration over the Sphere
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3. Eigenvalues, Embeddings and Generalised Trigonometric Functions
by Jan Lang, David Edmunds
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2016
オンライン: http://dx.doi.org/10.1007/978-3-642-18429-1
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4. Generalized Bessel Functions of the First Kind
by Árpád Baricz
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010
シリーズ名: Lecture Notes in Mathematics ; 1994
オンライン: http://dx.doi.org/10.1007/978-3-642-12230-9
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目次情報:
and Preliminary Results
Geometric Properties of Generalized Bessel Functions
Inequalities Involving Bessel and Hypergeometric Functions
and Preliminary Results
Geometric Properties of Generalized Bessel Functions
Inequalities Involving Bessel and Hypergeometric Functions
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5. Orthogonal Polynomials and Special Functions : Computation and Applications
edited by Francisco Marcellan, Walter Assche
出版情報: Berlin, Heidelberg : Springer, 2006
シリーズ名: Lecture Notes in Mathematics ; 1883
オンライン: http://dx.doi.org/10.1007/b128597
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