harmonic function meaning in Hindi

Examples

1. Interpolation of periodic functions by harmonic functions is accomplished by Fourier transform.
2. Any harmonic function on a compact connected Riemannian manifold is a constant.
3. Instead, they resolve to different chords with the same harmonic functions.
4. However, this loses the connection with harmonic functions.
5. In several ways, the harmonic functions are real analogues to holomorphic functions.
6. The uniform limit of a convergent sequence of harmonic functions is still harmonic.
7. Harmonic functions are the classical example to which the strong maximum principle applies.
8. Harmonic functions that arise in physics are determined by their Liouville's theorem.
9. Also, the sum of any two harmonic functions will yield another harmonic function.
10. Also, the sum of any two harmonic functions will yield another harmonic function.