History of Zeros of Bessel functions of the first kind $J_\alpha$

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compare when who what
2026-09-01 22:14 bmatschke attach each link to the name it follows, so the name is the link current
2026-08-27 09:46 bmatschke with claude-opus-5 the link to the family published today
2026-08-17 12:35 bmatschke how well the digits are known: heuristic (agreement-checked) (converted: generators/T20-bessel-j-zeros computes at 150 and 200 digits and keeps what agrees)
2026-08-14 21:29 bmatschke how well the digits are known: heuristic (agreement-checked) (converted: generators/T20-bessel-j-zeros computes at 150 and 200 digits and keeps what agrees)
2026-08-14 18:25 bmatschke how well the digits are known: heuristic (agreement-checked) (converted: generators/T20-bessel-j-zeros computes at 150 and 200 digits and keeps what agrees)
2026-08-14 18:20 bmatschke how well the digits are known: heuristic (a fixed-precision value wrapped in an interval field)
2026-08-14 14:05 bmatschke recomputed with the numberdb package; digits agreement-checked at two precisions rather than assumed from a fifty per cent guard
2026-08-13 22:04 bmatschke how well the digits are known: heuristic (a fixed-precision value wrapped in an interval field) reviewed
2026-08-09 09:10 flattening entries rewritten as records with named parameters
2026-08-09 08:33 data-repository import the current state of the data repository
2021-03-20 18:48 bmatschke from the data repository, a504adb9
2021-03-12 13:04 bmatschke from the data repository, c85c4825
2021-03-11 15:10 bmatschke from the data repository, 9749c9d1
2021-03-11 14:46 bmatschke from the data repository, bae1fd28
2021-03-11 14:19 bmatschke from the data repository, 06e9f689

What changed between 2026-08-27 09:46 and 2026-09-01 22:14

from line 12 (8 lines) @@ -12,8 +12,8 @@
   comment-choice-of-alpha: This table currently restricts to the important special     case  $\alpha \in \frac{1}{2}\mathbb{Z}_{\geq 0}$.-  comment-not-the-polynomials: Not to be confused with the Bessel polynomials HREF{Bessel_polynomials},-    which are a family of polynomials with integer coefficients. The zeros listed-    here are transcendental; the connection is that a Bessel function of half-integer-    order has a closed form in which those polynomials appear.+  comment-not-the-polynomials: Not to be confused with the HREF{Bessel_polynomials}[Bessel+    polynomials], which are a family of polynomials with integer coefficients. The+    zeros listed here are transcendental; the connection is that a Bessel function+    of half-integer order has a closed form in which those polynomials appear. Formulas:   formula-1over2: The $n$'th root of $J_{1/2}(x)$ equals $n\pi$. 

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