{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "$id": "https://www.calculatorx.com/schemas/math.special.input.json",
  "title": "Special functions — input",
  "type": "object",
  "additionalProperties": false,
  "properties": {
    "mode": {
      "type": "string",
      "enum": [
        "erf",
        "erfc",
        "gamma",
        "lgamma",
        "bessel_j",
        "bessel_y",
        "bessel_i",
        "bessel_k",
        "lambert_w",
        "lambert_wm1",
        "beta",
        "incomplete_beta",
        "sinc",
        "normalized_sinc"
      ]
    },
    "x": {
      "type": "number"
    },
    "y": {
      "type": "number"
    },
    "a": {
      "type": "number"
    },
    "b": {
      "type": "number"
    },
    "n": {
      "type": "integer"
    }
  },
  "required": [
    "x"
  ],
  "description": "Real erf, erfc, Gamma, log-gamma, integer-order J_n, Y_n, I_n, and K_n, Lambert W_0 and W_{-1}, Euler beta B(x,y), incomplete beta B_x(a,b), unnormalized sinc, and normalized sinc. Discovery /error-function, /gamma-function, /bessel-function, /bessel-y, /bessel-i, /bessel-k, /lambert-w, /lambert-w-minus-1, /beta-function, /incomplete-beta, /sinc-function, /normalized-sinc. Not factorial, not CAS. (calculation_version 1.10.0)"
}