Mathematical Research Data Initiative
Main page
Recent changes
Random page
Help about MediaWiki
Create a new Item
Create a new Property
Merge two items
In other projects
MaRDI portal item
Discussion
View source
View history
Purge
English
Log in

Formula:5838

From MaRDI portal
Jump to:navigation, search

Digital Library of Mathematical Functions ID 15.10.E25

w 1 ⁢ ( z ) = Γ ⁡ ( c ) ⁢ Γ ⁡ ( b - a ) Γ ⁡ ( b ) ⁢ Γ ⁡ ( c - a ) ⁢ w 5 ⁢ ( z ) + Γ ⁡ ( c ) ⁢ Γ ⁡ ( a - b ) Γ ⁡ ( a ) ⁢ Γ ⁡ ( c - b ) ⁢ w 6 ⁢ ( z ) , subscript 𝑤 1 𝑧 Euler-Gamma 𝑐 Euler-Gamma 𝑏 𝑎 Euler-Gamma 𝑏 Euler-Gamma 𝑐 𝑎 subscript 𝑤 5 𝑧 Euler-Gamma 𝑐 Euler-Gamma 𝑎 𝑏 Euler-Gamma 𝑎 Euler-Gamma 𝑐 𝑏 subscript 𝑤 6 𝑧 {\displaystyle{\displaystyle w_{1}(z)=\frac{\Gamma\left(c\right)\Gamma\left(b-% a\right)}{\Gamma\left(b\right)\Gamma\left(c-a\right)}w_{5}(z)+\frac{\Gamma% \left(c\right)\Gamma\left(a-b\right)}{\Gamma\left(a\right)\Gamma\left(c-b% \right)}w_{6}(z),}}


Constraint(s)

Symbols List

  • Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}} : gamma function
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • a 𝑎 {\displaystyle{\displaystyle a}} : real or complex parameter
  • b 𝑏 {\displaystyle{\displaystyle b}} : real or complex parameter
  • c 𝑐 {\displaystyle{\displaystyle c}} : real or complex parameter
  • w m ⁢ ( z ) subscript 𝑤 𝑚 𝑧 {\displaystyle{\displaystyle w_{m}(z)}} : Kummer’s solutions
  •  Edit this on Wikidata

Resources that cite this formula

No records found.

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Formula:5838&oldid=11932900"
Tools
What links here
Related changes
Special pages
Printable version
Permanent link
Page information
This page was last edited on 28 January 2024, at 10:30.
Privacy policy
About MaRDI portal
Disclaimers
Imprint
Powered by MediaWiki