{
  "access": "DLMF HTML read through web tool; direct TeX download returned HTTP 403. HTML formulas were available.",
  "sources": {
    "DLMFHankel": {
      "url": "https://dlmf.nist.gov/10.17#E8",
      "claim": "Product defining b_k; b_0=1 and b_1=(4 nu^2+3)/8."
    },
    "DLMFModified": {
      "url": "https://dlmf.nist.gov/10.40#E4",
      "claim": "Fixed-order large-positive-argument K derivative expansion with overall minus sign."
    },
    "DLMFRecurrence": {
      "url": "https://dlmf.nist.gov/10.29#E1",
      "claim": "Modified-cylinder recurrences; convert the phase convention to obtain the K recurrence."
    },
    "DLMFElementary": {
      "url": "https://dlmf.nist.gov/10.39#E2",
      "claim": "Elementary K_(1/2)=K_(-1/2), initializing the independent recurrence."
    },
    "DLMFSpherical": {
      "url": "https://dlmf.nist.gov/10.49#E12",
      "claim": "Finite half-integer K expansions, with normalization also confirmed in T199."
    }
  }
}