"exponential generating function" meaning in English

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    {
      "form": "exponential generating functions",
      "tags": [
        "plural"
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      "expansion": "exponential generating function (plural exponential generating functions)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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      "examples": [
        {
          "text": "Exponential generating functions are generally more convenient than ordinary generating functions for combinatorial enumeration problems that involve labelled objects.",
          "type": "example"
        }
      ],
      "glosses": [
        "A formal power series with one indeterminate, whose coefficients are fractions with factorial denominators (of index corresponding to the power of the indeterminate) and numerators which represent a sequence of numbers that is to be studied."
      ],
      "hypernyms": [
        {
          "word": "generating function"
        }
      ],
      "id": "en-exponential_generating_function-en-noun-XI5YNbqR",
      "links": [
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          "mathematics",
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        ],
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          "formal power series",
          "formal power series"
        ],
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          "coefficient",
          "coefficient"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A formal power series with one indeterminate, whose coefficients are fractions with factorial denominators (of index corresponding to the power of the indeterminate) and numerators which represent a sequence of numbers that is to be studied."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "exponential generating function"
}

{
  "forms": [
    {
      "form": "exponential generating functions",
      "tags": [
        "plural"
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      "expansion": "exponential generating function (plural exponential generating functions)",
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      "word": "generating function"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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      "examples": [
        {
          "text": "Exponential generating functions are generally more convenient than ordinary generating functions for combinatorial enumeration problems that involve labelled objects.",
          "type": "example"
        }
      ],
      "glosses": [
        "A formal power series with one indeterminate, whose coefficients are fractions with factorial denominators (of index corresponding to the power of the indeterminate) and numerators which represent a sequence of numbers that is to be studied."
      ],
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        "(mathematics) A formal power series with one indeterminate, whose coefficients are fractions with factorial denominators (of index corresponding to the power of the indeterminate) and numerators which represent a sequence of numbers that is to be studied."
      ],
      "topics": [
        "mathematics",
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  "word": "exponential generating function"
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