{
  "id": "1510.00406",
  "version": "v1",
  "published": "2015-09-28T03:59:33.000Z",
  "updated": "2015-09-28T03:59:33.000Z",
  "title": "Notes on the q-Analogues of the Natural Transforms and Some Further Applications",
  "authors": [
    "S. K. Q. Al-Omari",
    "A. Kilicman"
  ],
  "comment": "17 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "As an extension to the Laplace and Sumudu transforms the classical Natural transform was proposed to solve certain fluid flow problems. In this paper, we investigate q-analogues of the q-Natural transform of some special functions. We derive the q-analogues of the q-integral transform and further apply to some general special functions such as : the exponential functions, the q-trigonometric functions, the q-hyperbolic functions and the Heaviside Function. Some further results involving convolutions and differentiations are also obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-28T03:59:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "q-analogues",
      "applications",
      "fluid flow problems",
      "general special functions",
      "q-natural transform"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}