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) of a point nucleus
![(d^2W)/(drho^2)+[1-(2eta)/rho-(L(L+1))/(rho^2)]W=0](/images/equations/CoulombWaveFunction/NumberedEquation1.svg)
is the confluent hypergeometric
function of the first kind, 
is the gamma function,
and the Coulomb function of the second kind is
![G_L(eta,rho)=(2eta)/(C_0^2(eta))F_L(eta,rho)[ln(2rho)+(q_L(eta))/(p_L(eta))]
+1/((2L+1)C_L(eta))rho^(-L)sum_(K=-L)^inftya_k^L(eta)rho^(K+L),](/images/equations/CoulombWaveFunction/NumberedEquation5.svg)
,
,
and 
are defined in Abramowitz and Stegun (1972, p. 538).
