KummerM
The Kummer M_{mu,nu}(z) function
KummerU
The Kummer U_{mu,nu}(z) function
Calling Sequence
Parameters
Description
Examples
References
KummerM(mu, nu, z)
KummerU(mu, nu, z)
mu
-
algebraic expression
nu
z
The Kummer functions KummerM(mu, nu, z) and KummerU(mu, nu, z) solve the differential equation
zy''+nu−zy'−muy=0
KummerM1,2,0.5
1.297442541
evalfKummerU−12,−13,17
0.9025082951
diffKummerMμ,ν,z,z
z+μ−νKummerMμ,ν,z+ν−μKummerM−1+μ,ν,zz
seriesKummerU12,13,z,z
3Γ56Γ23π−π3z23Γ23+9Γ56Γ23z2π−7π3z5310Γ23+81Γ56Γ23z232π−91π3z83320Γ23+405Γ56Γ23z3448π−1729π3z11321120Γ23+243Γ56Γ23z41024π−1235π3z14367584Γ23+6561Γ56Γ23z5133120π−7657π3z1732297856Γ23+Oz6
Abramowitz, M., and Stegun, I., eds. Handbook of Mathematical Functions. New York: Dover, 1972.
See Also
hypergeom
inifcns
Whittaker
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