"ultraholomorphic" meaning in All languages combined

{
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    {
      "args": {
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        "2": "ultra",
        "3": "holomorphic"
      },
      "expansion": "ultra- + holomorphic",
      "name": "prefix"
    }
  ],
  "etymology_text": "ultra- + holomorphic",
  "head_templates": [
    {
      "args": {
        "1": "-"
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      "expansion": "ultraholomorphic (not comparable)",
      "name": "en-adj"
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
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          "source": "w"
        },
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          "kind": "other",
          "name": "English terms prefixed with ultra-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
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        }
      ],
      "examples": [
        {
          "ref": "2015, Javier Jiménez-Garrido, Javier Sanz, “Strongly regular sequences and proximate orders”, in arXiv",
          "text": "Under this assumption, and through the characterization of strongly regular sequences in terms of so-called regular variation, we show that the growth index #x5C;gamma(#x5C;mathbb#x7B;M#x7D;) defined by V.Thilliez (Division by flat ultradifferentiable functions and sectorial extensions, Results Math. 44 (2003), 169--188) and the order of quasianalyticity #x5C;omega(#x5C;mathbb#x7B;M#x7D;) introduced by the second author (Flat functions in Carleman ultraholomorphic classes via proximate orders, J.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Holomorphic and such that all derivatives are uniformly bounded by a constant multiple of the argument that can be associated with the order of the derivative."
      ],
      "id": "en-ultraholomorphic-en-adj-wU0oPZOP",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Holomorphic",
          "holomorphic"
        ],
        [
          "derivative",
          "derivative"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Holomorphic and such that all derivatives are uniformly bounded by a constant multiple of the argument that can be associated with the order of the derivative."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "ultraholomorphic"
}

{
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    {
      "args": {
        "1": "en",
        "2": "ultra",
        "3": "holomorphic"
      },
      "expansion": "ultra- + holomorphic",
      "name": "prefix"
    }
  ],
  "etymology_text": "ultra- + holomorphic",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "ultraholomorphic (not comparable)",
      "name": "en-adj"
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
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        "en:Mathematics"
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      "examples": [
        {
          "ref": "2015, Javier Jiménez-Garrido, Javier Sanz, “Strongly regular sequences and proximate orders”, in arXiv",
          "text": "Under this assumption, and through the characterization of strongly regular sequences in terms of so-called regular variation, we show that the growth index #x5C;gamma(#x5C;mathbb#x7B;M#x7D;) defined by V.Thilliez (Division by flat ultradifferentiable functions and sectorial extensions, Results Math. 44 (2003), 169--188) and the order of quasianalyticity #x5C;omega(#x5C;mathbb#x7B;M#x7D;) introduced by the second author (Flat functions in Carleman ultraholomorphic classes via proximate orders, J.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Holomorphic and such that all derivatives are uniformly bounded by a constant multiple of the argument that can be associated with the order of the derivative."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Holomorphic",
          "holomorphic"
        ],
        [
          "derivative",
          "derivative"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Holomorphic and such that all derivatives are uniformly bounded by a constant multiple of the argument that can be associated with the order of the derivative."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
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    }
  ],
  "word": "ultraholomorphic"
}