holomorphic function sentence in Hindi

Examples

1. A holomorphic function whose domain is the whole complex plane is called an entire function.
2. All holomorphic functions are complex-analytic.
3. So informally one might say that poles occur as reciprocals of zeros of holomorphic functions.
4. The main point of Riemann surfaces is that holomorphic functions may be defined between them.
5. Moreover, any antiholomorphic function can be obtained in this manner from a holomorphic function.
6. Here \ mathcal O ( X ) denotes the ring of holomorphic functions on X.
7. Often, a complex domain serves as the domain of definition for a holomorphic function.
8. The classical definition of Hardy space is of holomorphic functions on ? with this property.
9. Holomorphic functions exhibit some remarkable features.
10. More generally, Laurent series can be used to express holomorphic functions defined on an disc.