Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with special-functions
Search options not deleted
user 48831
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
Under what conditions does the Mittag-Leffler function ${E_{\alpha ,1}}(z),(0 < \alpha < 1)$...
None of these functions have real zeroes, because they can be written as moment generating
functions of certain random variables $Y_\alpha$. More precisely, for $0<\alpha <1$
$$E_{\alpha,1}(z)=\mathb …
- 3,255
5
votes
(Sharp) inequality for Beta function
One can also use Jensen's inequality. Let (for $\sigma>0$) $G_\sigma$ denote a random variable with $\Gamma(1,\sigma)$-distribution, i.e. having Lebesgue density
$$f_\sigma(t)=\frac{t^{\sigma-1}}{\G …
- 3,255
1
vote
Accepted
Multivariate Generating Function Related to Lambert $W$ Function and Counting Trees with a C...
The asymptotic distribution of the number of nodes at maximal height in a random tree is known.
The following was known as "Wilf's conjecture" (H. S. Wilf stated it in 1991, evidently unaware of the …
- 3,255