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Cooperative Communications: Hardware, Channel & PHY by Yonghui Li, Mischa Dohler

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Functions

General and special functions used throughout this book

Functions Connotation
2F1 (·, ·; ·; ·) Gauss hypergeometric function
nFm generalized hypergeometric function
δ(·) Dirac delta function
Γ(·) complete gamma function
γ(·, ·) lower incomplete gamma function
ϕ(·) moment generating function
ψ(·) Doppler (power) spectrum
ψ(·, ·; ·) Tricomi confluent hypergeometric function
images(·) expectation
Ei(·) exponential integral
F(·) cumulative distribution function
images{·} Fourier transform
images−1 {·} inverse Fourier transform
G(·|:) Meijer G function
Iν(·) νth order modified Bessel function of the first kind
Jν(·) νth order Bessel function of the first kind
Kν(·) νth order modified Bessel function of the second kind
M(·) moment generating function
images−1 (·) inverse cumulative von Mises distribution
N(·) level crossing rate
p(·) probability density function
p(·, ·) joint probability density function
P(·) probability
Pout(·) outage probability
Q(·) Q Function
Q(·, ·) Marcum Q Function
R(·) correlation function
T(·) average fade duration

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