"ultraholomorphic" meaning in All languages combined

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      "expansion": "ultra- + holomorphic",
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  ],
  "etymology_text": "From ultra- + holomorphic.",
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      "expansion": "ultraholomorphic (not comparable)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
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          "kind": "other",
          "name": "English entries with incorrect language header",
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          "source": "w"
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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": "quote"
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      ],
      "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",
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          "mathematics",
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          "Holomorphic",
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          "derivative",
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      "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"
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  "word": "ultraholomorphic"
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  ],
  "etymology_text": "From ultra- + holomorphic.",
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  "lang_code": "en",
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          "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": "quote"
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      ],
      "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."
      ],
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        "(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."
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