"Lambert W function" meaning in English

{
  "etymology_text": "Named after Johann Lambert, who considered a related problem in 1758.",
  "forms": [
    {
      "form": "Lambert W functions",
      "tags": [
        "plural"
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  ],
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      "args": {},
      "expansion": "Lambert W function (plural Lambert W functions)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "name": "English entries with incorrect language header",
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          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
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            "Sciences",
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            "Fundamental"
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      "glosses": [
        "A multivalued function, namely the branches of the converse relation of the function f(w) = weʷ, where w is any complex number and eʷ is the exponential function."
      ],
      "id": "en-Lambert_W_function-en-noun-WvvvsJPZ",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "multivalued",
          "multivalued"
        ],
        [
          "function",
          "function"
        ],
        [
          "branch",
          "branch"
        ],
        [
          "complex number",
          "complex number"
        ],
        [
          "exponential function",
          "exponential function"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A multivalued function, namely the branches of the converse relation of the function f(w) = weʷ, where w is any complex number and eʷ is the exponential function."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Lambert W function"
}

{
  "etymology_text": "Named after Johann Lambert, who considered a related problem in 1758.",
  "forms": [
    {
      "form": "Lambert W functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "expansion": "Lambert W function (plural Lambert W functions)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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        "Pages with 1 entry",
        "en:Mathematics"
      ],
      "glosses": [
        "A multivalued function, namely the branches of the converse relation of the function f(w) = weʷ, where w is any complex number and eʷ is the exponential function."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "multivalued",
          "multivalued"
        ],
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          "function",
          "function"
        ],
        [
          "branch",
          "branch"
        ],
        [
          "complex number",
          "complex number"
        ],
        [
          "exponential function",
          "exponential function"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A multivalued function, namely the branches of the converse relation of the function f(w) = weʷ, where w is any complex number and eʷ is the exponential function."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Lambert W function"
}