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Special functions

Bessel functions
Beta function
Binomial function
Cosine function
Dedekind eta function
Dirichlet eta function
Error function
Jacobi elliptic functions
Lambert $W$ Function
Logarithm
$q$-Bessel function
$q$-Beta function
$q$-Gamma function
Gamma function
Generalized hypergeometric function ${}_pF_q$
Pochhammer symbol
q-Pochhammer symbol
Riemann zeta function
Sine function
Tangent function
Theta functions

Tools from calculus

Ratio test

Other

Solution manual to Rainville's "Special Functions"
"Special Functions" by Leon Hall