Digital Library of Mathematical Functions

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Notations Notations A Notations C

Notations B

♦*♦A♦B♦C♦D♦E♦F♦G♦H♦I♦J♦K♦L♦M♦N♦O♦P♦Q♦R♦S♦T♦U♦V♦W♦X♦Y♦Z♦

$\mathop{B_{{n}}\/}\nolimits$: Bernoulli numbers; 24.2(i)
$\mathop{b_{{k}}\/}\nolimits$: ^th zero of Airy $\mathop{\mathrm{Bi}\/}\nolimits$ ; 9.9(i)
$\mathop{b^{{\prime}}_{{k}}\/}\nolimits$: ^th zero of Airy ${\mathop{\mathrm{Bi}\/}\nolimits^{{\prime}}}$ ; 9.9(i)
$\mathop{B^{{(\ell)}}_{{n}}\/}\nolimits$: generalized Bernoulli numbers; 24.16(i)
$B_{{n-k}}^{{(n)}}=\mathop{s\/}\nolimits\!\left(n,k\right)/\binom{n-1}{k-1}$: notation used by Milne-Thomson (1933); 26.1
(with $\mathop{s\/}\nolimits\!\left(n,k\right)$ : Stirling number of the first kind and $\binom{m}{n}$ : binomial coefficient)
$B_{{n-k}}^{{(-k)}}=\mathop{S\/}\nolimits\!\left(n,k\right)/\binom{n}{k}$: notation used by Milne-Thomson (1933); 26.1
(with $\mathop{S\/}\nolimits\!\left(n,k\right)$ : Stirling number of the second kind and $\binom{m}{n}$ : binomial coefficient)
$\mathop{B^{{(x)}}_{{n}}\/}\nolimits$: Nörlund polynomials; 24.16(i)
$\mathop{B\/}\nolimits\!\left(n\right)$: Bell number; 26.7(i)
$\mathop{B_{{n}}\/}\nolimits\!\left(x\right)$: Bernoulli polynomials; 24.2(i)
$\mathop{B_{{\nu}}\/}\nolimits\!\left(\mathbf{T}\right)$: Bessel function of matrix argument (second kind); (35.5.3)
$\mathop{B_{{n}}\/}\nolimits\!\left(z\right)$: generalized Airy function; 9.13(i)
$\mathop{b_{{n}}\/}\nolimits\!\left(q\right)$: eigenvalues of Mathieu equation; 28.2(v)
$\mathop{\widetilde{B}_{{n}}\/}\nolimits\!\left(x\right)$: periodic Bernoulli functions; 24.2(iii)
$\mathop{B_{{k}}\/}\nolimits\!\left(z,p\right)$: generalized Airy function; 9.13(ii)

$\mathop{B^{{(\ell)}}_{{n}}\/}\nolimits\!\left(x\right)$: generalized Bernoulli polynomials; 24.16(i)
$\mathop{b^{{n}}_{{\nu}}\/}\nolimits\!\left(k^{2}\right)$: eigenvalues of Lamé’s equation; 29.3(i)
$\mathop{\mathrm{B}\/}\nolimits\!\left(a,b\right)$: beta function; (5.12.1)
$\mathop{\mathrm{B}_{{m}}\/}\nolimits\!\left(a,b\right)$: multivariate beta function; (35.3.3)
$\mathop{\mathrm{B}_{{x}}\/}\nolimits\!\left(a,b\right)$: incomplete beta function; (8.17.1)
$\mathop{\mathrm{B}_{{q}}\/}\nolimits\!\left(a,b\right)$: -beta function; (5.18.11)
$B(a,b,x)=\mathop{\mathrm{B}_{{x}}\/}\nolimits\!\left(a,b\right)$: notation used by Magnus et al. (1966); 8.1
(with $\mathop{\mathrm{B}_{{x}}\/}\nolimits\!\left(a,b\right)$ : incomplete beta function)
$\mathop{\mathrm{bei}_{{\nu}}\/}\nolimits\!\left(x\right)$: Kelvin function; (10.61.1)
$\mathop{\mathrm{ber}_{{\nu}}\/}\nolimits\!\left(x\right)$: Kelvin function; (10.61.1)
$\mathop{\beta_{{k}}\/}\nolimits$: ^th complex zero of Airy $\mathop{\mathrm{Bi}\/}\nolimits$ ; 9.9(i)
$\mathop{\beta^{{\prime}}_{{k}}\/}\nolimits$: ^th complex zero of Airy ${\mathop{\mathrm{Bi}\/}\nolimits^{{\prime}}}$ ; 9.9(i)
$\mathop{\beta_{{n}}\/}\nolimits\!\left(x,q\right)$: -Bernoulli polynomial; (17.3.7)
$\mathop{\mathrm{Bi}\/}\nolimits\!\left(z\right)$: Airy function; 9.2(i)

© 2010–2013 NIST / Privacy Policy / Disclaimer / Feedback; Version 1.0.6; Release date 2013-05-06 Math-Image version (See MathML) . A Printed Companionis available. Notations A Notations C