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Notations A

*♦A♦BCDEFGHIJKLMNOPQRSTUVWXYZ
for every; Common Notations and Definitions
A
Glaisher’s constant; 5.17.6
a k
kth zero of Airy Ai; §9.9(i)
a k
kth zero of Airy Ai; §9.9(i)
A ( x ) = 3 - 1 / 3 π Ai ( - 3 - 1 / 3 x )
notation used by Szegö (1967); §9.1
(with Ai(z): Airy function)
A ν ( z )
Anger–Weber function; 11.10.4
A ν ( T )
Bessel function of matrix argument (first kind); §35.5(i)
A n ( z )
generalized Airy function; §9.13(i)
a n ( q )
eigenvalues of Mathieu equation; §28.2(v)
A k ( z , p )
generalized Airy function; §9.13(ii)
A m , s ( q )
q-Euler number; 17.3.8
a m , s ( q )
q-Stirling number; 17.3.9
a ν n ( k 2 )
eigenvalues of Lamé’s equation; §29.3(i)
Ai ( z )
Airy function; §9.2(i)
am ( x , k )
Jacobi’s amplitude function; 22.16.1
arccd ( x , k )
inverse Jacobian elliptic function; §22.15(i)
arccn ( x , k )
inverse Jacobian elliptic function; §22.15(i)
Arccos z
general arccosine function; 4.23.2
arccos z
arccosine function; §4.23(ii)
Arccosh z
general inverse hyperbolic cosine function; 4.37.2
arccosh z
inverse hyperbolic cosine function; §4.37(ii)
Arccot z
general arccotangent function; 4.23.6
arccot z
arccotangent function; 4.23.9
Arccoth z
general inverse hyperbolic cotangent function; 4.37.6
arccoth z
inverse hyperbolic cotangent function; 4.37.9
arccs ( x , k )
inverse Jacobian elliptic function; §22.15(i)
Arccsc z
general arccosecant function; 4.23.4
arccsc z
arccosecant function; 4.23.7
Arccsch z
general inverse hyperbolic cosecant function; 4.37.4
arccsch z
inverse hyperbolic cosecant function; 4.37.7
arcdc ( x , k )
inverse Jacobian elliptic function; §22.15(i)
arcdn ( x , k )
inverse Jacobian elliptic function; §22.15(i)
arcds ( x , k )
inverse Jacobian elliptic function; §22.15(i)
arcnc ( x , k )
inverse Jacobian elliptic function; §22.15(i)
arcnd ( x , k )
inverse Jacobian elliptic function; §22.15(i)
arcns ( x , k )
inverse Jacobian elliptic function; §22.15(i)
arcsc ( x , k )
inverse Jacobian elliptic function; §22.15(i)
arcsd ( x , k )
inverse Jacobian elliptic function; §22.15(i)
Arcsec z
general arcsecant function; 4.23.5
arcsec z
arcsecant function; 4.23.8
Arcsech z
general inverse hyperbolic secant function; 4.37.5
arcsech z
inverse hyperbolic secant function; 4.37.8
Arcsin z
general arcsine function; 4.23.1
arcsin z
arcsine function; §4.23(ii)
Arcsinh z
general inverse hyperbolic sine function; 4.37.1
arcsinh z
inverse hyperbolic sine function; §4.37(ii)
arcsn ( x , k )
inverse Jacobian elliptic function; §22.15(i)
Arctan z
general arctangent function; 4.23.3
arctan z
arctangent function; §4.23(ii)
Arctanh z
general inverse hyperbolic tangent function; 4.37.3
arctanh z
inverse hyperbolic tangent function; §4.37(ii)