Application of Coulomb wave functions to an orthogonal series associated with steady axisymmetric Euler flows
DOI10.1016/j.jat.2007.09.001zbMath1132.33311OpenAlexW2069170668MaRDI QIDQ2481510
Publication date: 10 April 2008
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2007.09.001
Euler equationsconfluent hypergeometric functionorthogonal seriesWhittaker functionCoulomb wave function
PDEs in connection with fluid mechanics (35Q35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Coulomb and Bessel functions of complex arguments and order
- A new expansion of the confluent hypergeometric function in terms of modified Bessel functions
- An integral transform whose kernel is a stream function of a steady Euler flow with axisymmetry
- Construction of axisymmetric steady states of an inviscid incompressible fluid by spatially discretized equations for pseudo-advected vorticity
- Numerical Treatment of Coulomb Wave Functions
- On Value Distribution Theory of Second Order Periodic ODEs, Special Functions and Orthogonal Polynomials
- Solutions to a generalized spheroidal wave equation: Teukolsky’s equations in general relativity, and the two-center problem in molecular quantum mechanics
- Coulomb wave functions with complex values of the variable and the parameters
- The Confluent Hypergeometric Function
- On a New Treatment of Some Eigenvalue Problems
- Stability of the Laminar Flow Through a Straight Pipe of Circular Cross-Section to Infinitesimal Disturbances Which are Symmetrical about the Axis of the Pipe
This page was built for publication: Application of Coulomb wave functions to an orthogonal series associated with steady axisymmetric Euler flows
