{
  "date": "2026-10-27",
  "method": "Official DLMF pages opened with the native web tool during this session; notes distinguish source-backed mathematics from our exploratory finite selections.",
  "research": [
    {
      "tables": [
        "T187",
        "T190"
      ],
      "urls": [
        "https://dlmf.nist.gov/10.2",
        "https://dlmf.nist.gov/10.47",
        "https://dlmf.nist.gov/10.73"
      ],
      "source_support": "Principal Bessel conventions, half-integer conversion to spherical functions, and integer cylindrical modes in separation of variables.",
      "selection_judgment": "Unit arguments, the order-scale diagonal, and sparse low-order radii are bounded exploratory references. Orders through eight and half-orders through 17/2 are practical depth choices. They are not asserted to be extrema or independently famous values. Existing stationary values remain intact."
    }
  ]
}