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Results tagged with special-functions
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user 104330
Many special functions appear as solutions of differential equations or integrals of elementary functions. Most special functions have relationships with representation theory of Lie groups.
5
votes
Accepted
A generalized logarithmic function
Let us calculate $f_{\epsilon}(x) - \frac{1}{\epsilon}\log(1 + x)$ using your formula for $\log(1 + x)$ as $f_1(x)$(I didn't checked it but believe that it is correct):
$f_\epsilon(x) - \frac{1}{\eps …
- 6,476
3
votes
Is this closed-form summation a special case of known Lerch zeta function formulas?
Let me suggest a more pedestrian approach than the elegant solution of Christian Remling but which is arguably easier to come up with: contour integration.
To get the sum over $\mathbb{Z}$ from a cont …
- 6,476