"Jackson integral" meaning in English

{
  "etymology_text": "Introduced by Frank Hilton Jackson.",
  "forms": [
    {
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      "tags": [
        "plural"
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  "lang_code": "en",
  "pos": "noun",
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      "examples": [
        {
          "ref": "1993, D. B. Fuks, Unconventional Lie Algebras, page 52",
          "text": "The Jackson integral enjoys several elementary properties of the usual integral.",
          "type": "quotation"
        },
        {
          "ref": "2001, Publications of the Research Institute for Mathematical Sciences, page 72",
          "text": "By taking residues, we can represent this integral in terms of a Jackson integral.",
          "type": "quotation"
        },
        {
          "ref": "2012, Simon Gindikin, James Lepowsky, Robert Wilson, Functional Analysis on the Eve of the 21st Century, page 11",
          "text": "We can find elliptic solutions to Yang-Baxter equations as connection functions among Jackson integrals giving asymptotics corresponding to asymptotic regions […]",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The series expansion ∫₀ᵃf(x),rm d_qx=(1-q),a∑ₖ₌₀ ᪲qᵏf(qᵏa). for real variable a and function of a real variable f(x)."
      ],
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      "raw_glosses": [
        "(mathematics) The series expansion ∫₀ᵃf(x),rm d_qx=(1-q),a∑ₖ₌₀ ᪲qᵏf(qᵏa). for real variable a and function of a real variable f(x)."
      ],
      "topics": [
        "mathematics",
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      "wikipedia": [
        "Frank Hilton Jackson"
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    }
  ],
  "word": "Jackson integral"
}

{
  "etymology_text": "Introduced by Frank Hilton Jackson.",
  "forms": [
    {
      "form": "Jackson integrals",
      "tags": [
        "plural"
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      "examples": [
        {
          "ref": "1993, D. B. Fuks, Unconventional Lie Algebras, page 52",
          "text": "The Jackson integral enjoys several elementary properties of the usual integral.",
          "type": "quotation"
        },
        {
          "ref": "2001, Publications of the Research Institute for Mathematical Sciences, page 72",
          "text": "By taking residues, we can represent this integral in terms of a Jackson integral.",
          "type": "quotation"
        },
        {
          "ref": "2012, Simon Gindikin, James Lepowsky, Robert Wilson, Functional Analysis on the Eve of the 21st Century, page 11",
          "text": "We can find elliptic solutions to Yang-Baxter equations as connection functions among Jackson integrals giving asymptotics corresponding to asymptotic regions […]",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The series expansion ∫₀ᵃf(x),rm d_qx=(1-q),a∑ₖ₌₀ ᪲qᵏf(qᵏa). for real variable a and function of a real variable f(x)."
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      "raw_glosses": [
        "(mathematics) The series expansion ∫₀ᵃf(x),rm d_qx=(1-q),a∑ₖ₌₀ ᪲qᵏf(qᵏa). for real variable a and function of a real variable f(x)."
      ],
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        "Frank Hilton Jackson"
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