On "drunken sinusoids" and their Fourier series
The Fourier series of trigonometric-exponential functions f(alpha)(x) = sin(x + alpha) exp(cos(x)) are studied. Dual recursive formulae for the corresponding Fourier coefficients are derived. The above coefficients are transcendental. (C) 2000 Elsevier Science B.V. All rights reserved.
fourier series and coefficients wave function transcendental number