Digital Library of Mathematical Functions
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NIST
Notations

Notations A

*♦A♦BCDEFGHIJKLMNOPQRSTUVWXYZ
for every; Common Notations and Definitions
A
Glaisher’s constant; (5.17.6)
ak
kth zero of Airy Ai; 9.9(i)
ak
kth zero of Airy Ai; 9.9(i)
A(x)=3-1/3πAi(-3-1/3x)
notation used by Szegö (1967); 9.1
(with Ai(z): Airy function)
Aν(z)
Anger–Weber function; (11.10.4)
Aν(T)
Bessel function of matrix argument (first kind); 35.5(i)
An(z)
generalized Airy function; 9.13(i)
an(q)
eigenvalues of Mathieu equation; 28.2(v)
Ak(z,p)
generalized Airy function; 9.13(ii)
Am,s(q)
q-Euler number; (17.3.8)
am,s(q)
q-Stirling number; (17.3.9)
aνn(k2)
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)
Arccosz
general arccosine function; (4.23.2)
arccosz
arccosine function; 4.23(ii)
Arccoshz
general inverse hyperbolic cosine function; (4.37.2)
arccoshz
inverse hyperbolic cosine function; 4.37(ii)
Arccotz
general arccotangent function; (4.23.6)
arccotz
arccotangent function; (4.23.9)
Arccothz
general inverse hyperbolic cotangent function; (4.37.6)
arccothz
inverse hyperbolic cotangent function; (4.37.9)
arccs(x,k)
inverse Jacobian elliptic function; 22.15(i)
Arccscz
general arccosecant function; (4.23.4)
arccscz
arccosecant function; (4.23.7)
Arccschz
general inverse hyperbolic cosecant function; (4.37.4)
arccschz
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)
Arcsecz
general arcsecant function; (4.23.5)
arcsecz
arcsecant function; (4.23.8)
Arcsechz
general inverse hyperbolic secant function; (4.37.5)
arcsechz
inverse hyperbolic secant function; (4.37.8)
Arcsinz
general arcsine function; (4.23.1)
arcsinz
arcsine function; 4.23(ii)
Arcsinhz
general inverse hyperbolic sine function; (4.37.1)
arcsinhz
inverse hyperbolic sine function; 4.37(ii)
arcsn(x,k)
inverse Jacobian elliptic function; 22.15(i)
Arctanz
general arctangent function; (4.23.3)
arctanz
arctangent function; 4.23(ii)
Arctanhz
general inverse hyperbolic tangent function; (4.37.3)
arctanhz
inverse hyperbolic tangent function; 4.37(ii)