Mathematical Research Data Initiative
Main page
Recent changes
Random page
SPARQL
MaRDI@GitHub
Special pages
In other projects
MaRDI portal item
Discussion
View source
View history
Purge
English
Log in

2.7.E6

From MaRDI portal
Formula:866
Jump to:navigation, search


MaRDI QIDQ866

  • Label: 2.7.E6


Digital Library of Mathematical Functions ID 2.7.E6

w 2 ⁢ ( z ) = ( z - z 0 ) α 2 ⁢ ∑ s = 0 s ≠ α 1 - α 2 ∞ b s ⁢ ( z - z 0 ) s + c ⁢ w 1 ⁢ ( z ) ⁢ ln ⁡ ( z - z 0 ) , subscript 𝑤 2 𝑧 superscript 𝑧 subscript 𝑧 0 subscript 𝛼 2 superscript subscript 𝑠 0 𝑠 subscript 𝛼 1 subscript 𝛼 2 subscript 𝑏 𝑠 superscript 𝑧 subscript 𝑧 0 𝑠 𝑐 subscript 𝑤 1 𝑧 𝑧 subscript 𝑧 0 {\displaystyle{\displaystyle w_{2}(z)=(z-z_{0})^{\alpha_{2}}\sum_{% \begin{subarray}{c}s=0\\ s\neq\alpha_{1}-\alpha_{2}\end{subarray}}^{\infty}b_{s}(z-z_{0})^{s}+cw_{1}(z)% \ln\left(z-z_{0}\right),}}


Constraint(s)

z ∈ 𝐍 𝑧 𝐍 {\displaystyle{\displaystyle z\in\mathbf{N}}}

Symbols List

  • ∈ {\displaystyle{\displaystyle\in}} :
  • ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}} : principal branch of logarithm function
  • b s subscript 𝑏 𝑠 {\displaystyle{\displaystyle b_{s}}} : coefficients
  • c 𝑐 {\displaystyle{\displaystyle c}} : constant
  • 𝐍 𝐍 {\displaystyle{\displaystyle\mathbf{N}}} : punctured neighborhood
  • w j ⁢ ( z ) subscript 𝑤 𝑗 𝑧 {\displaystyle{\displaystyle w_{j}(z)}} : solutions
  •  Edit this on Wikidata

Resources that cite this formula

No records found.

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Formula:866&oldid=11934863"
Tools
What links here
Related changes
Printable version
Permanent link
Page information
This page was last edited on 28 January 2024, at 11:30.
Privacy policy
About MaRDI portal
Disclaimers
Imprint
Powered by MediaWiki