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Notations B

*A♦B♦CDEFGHIJKLMNOPQRSTUVWXYZ
Bn
Bernoulli numbers; 24.2(i)
bk
kth zero of Airy Bi; 9.9(i)
bk
kth zero of Airy Bi; 9.9(i)
Bn()
generalized Bernoulli numbers; 24.16(i)
Bn-k(n)=s(n,k)/(n-1k-1)
notation used by Milne-Thomson (1933); 26.1
(with s(n,k): Stirling number of the first kind and (mn): binomial coefficient)
Bn-k(-k)=S(n,k)/(nk)
notation used by Milne-Thomson (1933); 26.1
(with S(n,k): Stirling number of the second kind and (mn): binomial coefficient)
Bn(x)
Nörlund polynomials; 24.16(i)
B(n)
Bell number; 26.7(i)
Bn(x)
Bernoulli polynomials; 24.2(i)
Bν(T)
Bessel function of matrix argument (second kind); (35.5.3)
Bn(z)
generalized Airy function; 9.13(i)
bn(q)
eigenvalues of Mathieu equation; 28.2(v)
B~n(x)
periodic Bernoulli functions; 24.2(iii)
Bk(z,p)
generalized Airy function; 9.13(ii)
Bn()(x)
generalized Bernoulli polynomials; 24.16(i)
bνn(k2)
eigenvalues of Lamé’s equation; 29.3(i)
B(a,b)
beta function; (5.12.1)
Bm(a,b)
multivariate beta function; (35.3.3)
Bx(a,b)
incomplete beta function; (8.17.1)
Bq(a,b)
q-beta function; (5.18.11)
B(a,b,x)=Bx(a,b)
notation used by Magnus et al. (1966); 8.1
(with Bx(a,b): incomplete beta function)
beiν(x)
Kelvin function; (10.61.1)
berν(x)
Kelvin function; (10.61.1)
βk
kth complex zero of Airy Bi; 9.9(i)
βk
kth complex zero of Airy Bi; 9.9(i)
βn(x,q)
q-Bernoulli polynomial; (17.3.7)
Bi(z)
Airy function; 9.2(i)