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Longer titles found: Hahn–Exton q-Bessel function (view), Jackson q-Bessel function (view), Incomplete Bessel functions (view)

searching for Bessel function 23 found (239 total)

alternate case: bessel function

Stokes problem (1,984 words) [view diff] exact match in snippet view article find links to article

}})}}e^{i\omega t}\right]} where K 1 {\displaystyle K_{1}} is the modified Bessel function of the second kind. This solution can be expressed with real argument

Rayleigh problem (885 words) [view diff] exact match in snippet view article find links to article

}})}}e^{st}{\frac {ds}{s}}} where K 1 {\displaystyle K_{1}} is the modified Bessel function of the second kind. As t → ∞ {\displaystyle t\rightarrow \infty }

Common integrals in quantum field theory (5,991 words) [view diff] no match in snippet view article find links to article

Common integrals in quantum field theory are all variations and generalizations of Gaussian integrals to the complex plane and to multiple dimensions.: 13–15

Lattice light-sheet microscopy (1,791 words) [view diff] exact match in snippet view article find links to article

optical lattice created by the interference of Bessel beams. inset: one Bessel function before interference, (c)-left: SLM-mediated selection of a subpattern

Green's function for the three-variable Laplace equation (1,910 words) [view diff] exact match in snippet view article find links to article

vertical heights whose kernel is given in terms of the order-zero Bessel function of the first kind as 1 | x − x ′ | = ∫ 0 ∞ J 0 ( k R 2 + R ′ 2 − 2

Hartman–Watson distribution (974 words) [view diff] exact match in snippet view article find links to article

following relationship between the Laplace transform and the modified Bessel function of first kind: ∫ 0 ∞ e − u 2 t / 2 μ r ( d t ) = I | u | ( r ) I 0

Cox–Ingersoll–Ross model (1,928 words) [view diff] exact match in snippet view article find links to article

and I q ( 2 u v ) {\displaystyle I_{q}(2{\sqrt {uv}})} is a modified Bessel function of the first kind of order q {\displaystyle q} . Asymptotic distribution

Lamb waves (3,737 words) [view diff] exact match in snippet view article find links to article

a sinusoid, the "carrier" for the axisymmetric wave is a Bessel function. The Bessel function takes care of the singularity at the source, then converges

James A. Donaldson (633 words) [view diff] case mismatch in snippet view article find links to article

Representations of the Extended Airy Integral Type for the Modified Bessel Function, and was supervised by Ray Gartner Langebartel. Following his PhD,

Efimov state (1,464 words) [view diff] exact match in snippet view article find links to article

s_{0}=1.0062378\ldots } is the order of the imaginary-order modified Bessel function of the second kind K ~ s 0 ( r / a ) {\displaystyle {\tilde {K}}_{s_{0}}(r/a)}

Spacetime triangle diagram technique (2,908 words) [view diff] exact match in snippet view article find links to article

')^{2}-(z-z')^{2}}}\right),} where J 0 ( ⋅ ) {\displaystyle J_{0}(\cdot )} is the Bessel function of the first kind of order zero. Passing to the canonical variables

Three-photon microscopy (2,109 words) [view diff] exact match in snippet view article find links to article

)\exp(iu/2)\rho d\rho \right|^{2}} , where J 0 {\displaystyle J_{0}} is a Bessel function of the first kind of order zero. The axial and radial coordinates u

Chandrasekhar–Kendall function (890 words) [view diff] exact match in snippet view article find links to article

(\mu _{j}^{2}+k^{2})^{1/2}} where J m {\displaystyle J_{m}} is the Bessel function, k = ± 2 π n / L , n = 0 , 1 , 2 , … {\displaystyle k=\pm 2\pi n/L

Ionization (6,848 words) [view diff] exact match in snippet view article find links to article

ionize the atom, J n ( u , v ) {\displaystyle J_{n}(u,v)} is the double Bessel function, p = 2 ω ( n − n o s c − n i ) , {\displaystyle p={\sqrt {2\omega (n-n_{\mathrm

Bickley–Naylor functions (1,272 words) [view diff] exact match in snippet view article find links to article

⁡ ( x ) {\displaystyle \operatorname {K} _{0}(x)} is the modified Bessel function of the zeroth order. Also by definition we have Ki 0 ⁡ ( x ) = K 0

List of African-American mathematicians (7,586 words) [view diff] exact match in snippet view article find links to article

representations of the extended airy integral type for the modified Bessel function (Thesis). Urbana-Champaign, IL: University of Illinois. Retrieved 11

Financial models with long-tailed distributions and volatility clustering (2,007 words) [view diff] exact match in snippet view article find links to article

+1}{2}}(x).} Here K p ( x ) {\displaystyle K_{p}(x)} is the modified Bessel function of the second kind. The MTS distribution is not included in the class

Contact mechanics (12,054 words) [view diff] exact match in snippet view article find links to article

function and K ν ( z ) {\displaystyle K_{\nu }(z)} is the modified Bessel function of the second kind. For the situation where the asperities on the two

Finite potential well (4,197 words) [view diff] exact match in snippet view article find links to article

functions respectively, and could be rewritten as function of standard Bessel function. The energy levels for a < r < b {\displaystyle a<r<b} E = k 2 ℏ 2

Normal distribution (22,597 words) [view diff] exact match in snippet view article find links to article

f_{Z}(z)=\pi ^{-1}K_{0}(|z|)} where K 0 {\textstyle K_{0}} is the modified Bessel function of the second kind. This distribution is symmetric around zero, unbounded

History of physics (14,846 words) [view diff] exact match in snippet view article find links to article

equation for the vibration of a circular drum and found one of the Bessel function solutions. In 1776, John Smeaton published a paper on experiments relating

K. J. Ray Liu (3,803 words) [view diff] exact match in snippet view article find links to article

time-reversal spot has a spatially independent structure that follows a Bessel function power distribution. This means that the time-reversal spot structure

Ronald Fisher bibliography (6,207 words) [view diff] case mismatch in snippet view article find links to article

S2CID 62064968. (with PR Ansell) "Note on the Numerical Evaluation of a Bessel Function Derivative". Proceedings of the London Mathematical Society. 24: liv–lvi