Meromorphic function

A meromorphic function is a function that is holomorphic (defined on the complex numbers, and that can be differentiated everywhere where it is defined) on all …

A meromorphic function is a function that is holomorphic (defined on the complex numbers, and that can be differentiated everywhere where it is defined) on all of an open set except for a set of isolated points, which are poles of the function.

All rational functions, for examplef(z)=z3−2z+10z5+3z−1,are meromorphic on the whole complex plane.

Related Information : Meromorphic function


Meromorphic function
Kamis, 2023-07-06 06:09:24

A meromorphic function is a function that is holomorphic (defined on the complex numbers, and that can be differentiated everywhere where it is defined)...

Click to read more »
Riemann xi function
Senin, 2026-08-31 14:26:04

critical line Re(s)= 1/2. Unlike the Riemann zeta function which is a meromorphic function on the complex plane with a simple pole (undefined value that...

Click to read more »
Nicușor Dan
Selasa, 2026-10-20 21:27:20

(1998). Courants de Green et prolongement méromorphe [Green currents and meromorphic continuation] (Thesis) (in French). Paris: Université Sorbonne Paris...

Click to read more »
Riemann zeta function
Selasa, 2026-05-26 03:54:53

has an undefined value (a simple pole), the Riemann zeta function is a meromorphic function on the complex plane. Leonhard Euler discovered the first results...

Click to read more »
Content Disclaimer

Informasi ini disarikan dari Wikipedia dan disajikan kembali untuk tujuan edukasi. Konten tersedia di bawah lisensi CC BY-SA 3.0. Kami tidak bertanggung jawab atas ketidakakuratan data yang bersumber dari kontribusi publik tersebut.

  1. The information displayed on this website is sourced in part or in whole from Wikipedia and has been adapted for the purpose of restating it. We strive to provide accurate and relevant information, however:
  2. There is no guarantee of absolute accuracy. Wikipedia is an open, collaborative project that can be edited by anyone, so information is subject to change.
  3. It is not intended to constitute professional advice. The content displayed is for informational and educational purposes only. For important decisions (e.g., medical, legal, or financial), please consult a professional.
  4. Content copyright. Wikipedia is licensed under the Creative Commons Attribution-ShareAlike License (CC BY-SA). This means that content may be reused with appropriate attribution and shared under a similar license.
  5. Responsible use. Any risk arising from the use of information from this website is entirely the responsibility of the user.