{
  "id": "2407.12885",
  "version": "v1",
  "published": "2024-07-16T20:33:51.000Z",
  "updated": "2024-07-16T20:33:51.000Z",
  "title": "On closed forms of some trigonometric series",
  "authors": [
    "Slobodan B. Tričković",
    "Miomir S. Stanković"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We have derived alternative closed-form formulas for the trigonometric series over sine or cosine functions when the immediate replacement of the parameter appearing in the denominator with a positive integer gives rise to a singularity. By applying the Choi-Srivastava theorem, we reduce these trigonometric series to expressions over Hurwitz's zeta function derivative.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-16T20:33:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M41",
      "33B15"
    ],
    "keywords": [
      "trigonometric series",
      "closed forms",
      "derived alternative closed-form formulas",
      "hurwitzs zeta function derivative",
      "choi-srivastava theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}