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1.

図書
図書
1. Tables of integral transforms (v. 1 ; v. 2 ; v. 3)
based, in part, on notes left by Harry Bateman ; and compiled by the staff of the Bateman Manuscript Project. [A Erdélyi, editor. W. Magnus, F. Oberhettinger, F.G. Tricomi, research associates]
出版情報: New York : McGraw-Hill, 1954-1955  3 v ; 24 cm
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2.

図書
図書
2. Higher transcendental functions (v. 1 ; v. 2 ; v. 3)
based, in part, on notes left by Harry Bateman ; and compiled by the staff of the Bateman Manuscript Project
出版情報: New York : McGraw-Hill, 1953-1955  3 v. ; 24 cm
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3.

図書
図書
3. Asymptotic expansions
A. Erdélyi
出版情報: New York : Dover Publications, 1956  vi, 108 p. ; 21 cm
シリーズ名: Dover books on advanced mathematics
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目次情報: 続きを見る
Introduction
References
Asymptotic Series / Chapter I：
O-symbols / 1.1：
Asymptotic sequences / 1.2：
Asymptotic expansions / 1.3：
Linear operations with asymptotic expansions / 1.4：
Other operations with asymptotic expansions / 1.5：
Asymptotic power series / 1.6：
Summation of asymptotic series / 1.7：
Integrals / Chapter II：
Integration by parts / 2.1：
Laplace integrals / 2.2：
Critical points / 2.3：
Laplace's method / 2.4：
The method of steepest descents / 2.5：
Airy's integral / 2.6：
Further examples / 2.7：
Fourier integrals / 2.8：
The method of stationary phase / 2.9：
Singularities of Differential Equations / Chapter III：
Classification of singularities / 3.1：
Normal solutions / 3.2：
The integral equation and its solution / 3.3：
Asymptotic expansions of the solutions / 3.4：
Complex variable / 3.5：
Stokes' phenomenon
Bessel functions of order zero / 3.6：
Differential Equations with a Large Parameter / Chapter IV：
Liouville's problem / 4.1：
Formal solutions / 4.2：
Asymptotic solutions / 4.3：
Application to Bessel functions / 4.4：
Transition points / 4.5：
Airy functions / 4.6：
Asymptotic solutions valid in the transition region / 4.7：
Uniform asymptotic representations of Bessel functions / 4.8：
Introduction
References
Asymptotic Series / Chapter I：
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