{
  "id": "1910.08957",
  "version": "v1",
  "published": "2019-10-20T12:04:22.000Z",
  "updated": "2019-10-20T12:04:22.000Z",
  "title": "Asymptotic expansion of the modified exponential integral involving the Mittag-Leffler function",
  "authors": [
    "R B Paris"
  ],
  "comment": "10 pages, 0 figures",
  "categories": [
    "math.CA"
  ],
  "abstract": "We consider the asymptotic expansion of the generalised exponential integral involving the Mittag-Leffler function introduced recently by Mainardi and Masina [{\\it Fract. Calc. Appl. Anal.} {\\bf 21} (2018) 1156--1169]. We extend the definition of this function using the two-parameter Mittag-Leffler function. The expansions of the similarly extended sine and cosine integrals are also discussed. Numerical examples are presented to illustrate the accuracy of each type of expansion obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-20T12:04:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30E15",
      "30E20",
      "33E20",
      "34E05"
    ],
    "keywords": [
      "modified exponential integral",
      "asymptotic expansion",
      "two-parameter mittag-leffler function",
      "generalised exponential integral",
      "cosine integrals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}