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洋書 | 技術書

Field Guide to Special Functions for Engineers
商品コード: 9780819485502

Field Guide to Special Functions for Engineers

販売価格(税込) 4,830 円
ポイント: 48 Pt
個  数

カゴに入れる

Larry C. Andrews
116 pages Spiral Bound
2011/6/27
FG18

目次

This Field Guide is designed to provide engineers and scientists with a quick reference for special functions that are crucial to resolving modern engineering and physics problems. The functions treated in this book apply to many fields, including electro-optics, electromagnetic theory, wave propagation, heat conduction, quantum mechanics, probability theory, and electric circuit theory, among many other areas of application. A brief review of these important topics is included in this guide, as well as an introduction to some useful engineering functions such as the step function, rectangle function, and delta (impulse) function.


Sample Pages(PDF)



Table of Contents


Glossary of Symbols and Notation


Engineering Functions
  Step and Signum (sign) Functions
  Rectangle and Triangle Functions
  Sinc and Gaussian Functions
  Delta Function
  Delta Function Example
  Comb Function
Infinite Series and Improper Integrals
  Series of Constants
  Operations with Series
  Factorials and Binomial Coefficients
  Factorials and Binomial Coefficients Example
  Power Series
  Operations with Power Series
  Power Series Example
  Improper Integrals
  Asymptotic Series for Small Arguments
  Asymptotic Series for Large Arguments
  Asymptotic Series Example
Gamma Functions
  Integral Representations
  Gamma Function Identities
  Incomplete Gamma Functions
  Incomplete Gamma Function Identities
  Gamma Function Example
  Beta Function
  Gamma and Beta Example
  Digamma (Psi) and Polygamma Functions
  Asymptotic Series
  Bernoulli Numbers and Polynomials
  Riemann Zeta Function
Other Functions Defined by Integrals
  Error Functions
  Fresnel Integrals
  Exponential and Logarithmic Integrals
  Sine and Cosine Integrals
  Elliptic Integrals
  Elliptic Functions
  Cumulative Distribution Function Example
Orthogonal Polynomials
  Legendre Polynomials
  Legendre Polynomial Identities
  Legendre Functions of the Second Kind
  Associated Legendre Functions
  Hermite Polynomials
  Hermite Polynomial Identities
  Hermite Polynomial Example
  Laguerre Polynomials
  Laguerre Polynomial Identities
  Associated Laguerre Polynomials
  Chebyshev Polynomials
  Chebyshev Polynomial Identities
  Gegenbauer Polynomials
  Jacobi Polynomials
Bessel Functions
  Bessel Function of the First Kind
  Properties of Bessel Functions of the First Kind
  Bessel Function of the Second Kind
  Properties of Bessel Functions of the Second Kind
  Modified Bessel Function of the First Kind
  Properties of Modified Bessel Functions of the First Kind
  Modified Bessel Function of the Second Kind
  Properties of Modified Bessel Functions of the Second Kind
  Spherical Bessel Functions
  Properties of Spherical Bessel Functions
  Modified Spherical Bessel Functions
  Hankel Functions
  Struve Functions
  Kelvin's Functions
  Airy Functions
  Other Related Bessel Functions
  Differential Equation Example
  Bessel Function Example
Orthogonal Series
  Fourier Trigonometric Series
  Fourier Trigonometric Series: General Intervals
  Exponential Fourier Series
  Generalized Fourier Series
  Fourier Series Example
  Legendre Series
  Hermite and Laguerre Series
  Bessel Series
  Bessel Series Example
Hypergeometric-Type Functions
  Pochhammer Symbol
  Hypergeometric Function
  Hypergeometric Function Identities
  Confluent Hypergeometric Functions
  Confluent Hypergeometric Function Identities
  Generalized Hypergeometric Function
  Hypergeometric Function Example
  Confluent Hypergeometric Function Example
  Relation of pFq to Other Functions
  Meijer G Function
  Properties of the Meijer G Function
  Relation of the G Function to Other Functions
  MacRobert E Function
  Meijer G Example
Bibliography


Index

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