{
  "abstract": "In this paper, we introduce a generalized framework for star products that preserve associativity while not necessarily obeying the canonical commutation relations. Within this framework, we formulate the augmented star product and investigate the associated augmented star exponentials. We further demonstrate several applications of these constructions to special functions and to problems arising in quantum physics.",
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  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.28220",
  "author_total": 1,
  "authors": [
    {
      "name": "Naoya Miyazaki"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/54fregaqabeq5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.28220",
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  "id": "54fregaqabeq5",
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  "landing_url": "https://arxiv.org/abs/2608.28220",
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  "pdf_url": "https://arxiv.org/pdf/2608.28220",
  "pmcid": null,
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  "published": "2026-08-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/54fregaqabeq5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:22Z",
      "native_id": "2608.28220",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.28220"
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  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
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    {
      "field": "mathematics",
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    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
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  "title": "Augmented Star Products and their Applications",
  "title_text": "Augmented Star Products and their Applications",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:28Z",
  "url": "https://research.draconitic.com/paper/54fregaqabeq5",
  "venue": "arXiv",
  "versions": []
}