Timeline for Recurrence Formula for Zernike polynomials
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| S Nov 25, 2015 at 20:05 | history | bounty ended | CommunityBot | ||
| S Nov 25, 2015 at 20:05 | history | notice removed | CommunityBot | ||
| Nov 24, 2015 at 15:55 | history | edited | Vít Tuček | CC BY-SA 3.0 |
better title
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| Nov 24, 2015 at 15:54 | comment | added | Vít Tuček | By introducing some special coordinates I guess you are maybe breaking symmetry from $SO(4)$ to $SO(2)\times SO(2)$. And so the sought recurrence formula could be perhaps obtained from the branching of the polynomial representation $SO(4)$ to the subgroup $SO(2)\times SO(2)$. I've tagged this question with representation theory and Lie algebras. | |
| Nov 24, 2015 at 15:54 | comment | added | Vít Tuček | Usually, there is a connection between special functions and representation theory of Lie groups / algebras. E.g. you can decompose polynomials on $\mathbb{R}^n$ as products of a polynomial in $\|x\|^2$ and a harmonic polynomial. The latter giving you eigenfunction of the Laplacian on the sphere $S^{n-1} \subseteq \mathbb{R}^n$. See books.google.cz/… | |
| Nov 24, 2015 at 15:53 | comment | added | Vít Tuček | I have never heard about Zernike polynomials before and I don't understand how they are related to solutions of the Laplace equation on $\mathbb{R}^4$. I don't really understand how you define $\gamma$. | |
| Nov 24, 2015 at 14:18 | history | edited | Vít Tuček |
added tags
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| S Nov 17, 2015 at 18:52 | history | bounty started | Matematleta | ||
| S Nov 17, 2015 at 18:52 | history | notice added | Matematleta | Authoritative reference needed | |
| Nov 15, 2015 at 16:53 | history | asked | Matematleta | CC BY-SA 3.0 |