Naming of the Exponential Integrals



At first I proposed the following names:

expintegral_e (n z) - Exponential Integral En
expintegral_e1 (z)  - Exponential Integral E1 
expintegral_ei (z)  - Exponential Integral Ei 
logintegral_li (z)  - Logarithmic Integral Li
expintegral_si (z)  - Exponential Integral Si 
expintegral_ci (z)  - Exponential Integral Ci
expintegral_shi (z) - Exponential Integral Shi 
expintegral_chi (z) - Exponential Integral Chi

These names should emphasize that all this functions are sumerized as
Exponential Integrals. But to be consistent we have to use for Li the name
expintegral_li and not logintegral_li. I have chosen expintegral_li in my last
revision of the code.

An alternative to the above functions namens would be the following scheme:

expintegral_e (n z)
expintegral_ei (z)
expintegral_e1

logintegral (z)

sinintegral (z)
cosintegral (z)

sinhintegral (z)
coshintegral (z)

Both schemes seems to be nice. What should we do?

Dieter Kaiser