Bing-Hai Lei avatar
B. H. Lei
君子欲讷于言而敏于行

bessel-functions

Articles carrying this tag.

Kelvin WedgeDerivationNegative Result

Axisymmetric Angular Fourier Modes and Hankel Transform of a Radial Heaviside Pressure Field

The math is sound. The method is not. We consider an axisymmetric pressure distribution \(p(r, \theta)=\bar{p} H(r-l)\) (radial dependence only) and show that its angular Fourier…

Mathematics
Kelvin WedgeDerivationNegative Result

Operator Ladder Relations for Hankel Transforms of Bessel Type

The math is sound. The method is not. Hankel–Bessel Ladder Identities Claim. For suitable \(f_m(r)\) and \(k>0\), ∑ Formula Here ∑ Formula.

Fluid Mechanics
Kelvin WedgeReading Note

Pressure Forcing on a Free Surface and Far-Field Waves in Lamb’s Hydrodynamics

We summarise Lamb’s treatment of a pressure disturbance on a free surface in a uniform stream, emphasising the contour‐integral evaluation of the far-field wavetrain, the…

Fluid Mechanics

Gamma, Polygamma, Hurwitz Zeta, and Bessel Function Identities

We collect a few basic identities for the gamma and polygamma functions, their link to the Hurwitz zeta function, standard asymptotics for Bessel functions, and a useful Bessel…

Mathematics