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Expintegral_e

Function: expintegral_e (<n>,<z>) The Exponential Integral En(z) (A&S 5.1.4)

E1(x):=realpart(-expintegral_e(1,-x));
h(Bo):=exp(Bo/8)*E1(Bo/8)/8;
h(0.1);
h2(Bo):=first(quad_qagi( -0.25*exp(-k^2/8)/(Bo+k^2)*k , k ,0,inf));
h2(0.1);

There are also some inexact matches for expintegral_e. Try ?? expintegral_e to see them.

(%o1)                                true
(%i2) 

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expintegral_e(1,0.999);

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expintegral_e-first-inf-quad_qagi-realpart

E1(x):=realpart(-expi...

h(Bo):=exp(Bo/8)*E1(B...

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expintegral_e(1,1);

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expintegral_e-first-inf-quad_qagi-realpart

E1(x):=realpart(-expi...

h(Bo):=exp(Bo/8)*E1(B...

h(0.001);

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expintegral_e-first-inf-quad_qagi-realpart

E1(x):=realpart(-expi...

h(Bo):=exp(Bo/8)*E1(B...

h(0.2);

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expintegral_e(1,0.001);

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