{
  "id": "1706.08039",
  "version": "v1",
  "published": "2017-06-25T05:52:13.000Z",
  "updated": "2017-06-25T05:52:13.000Z",
  "title": "Fractional Calculus and certain integrals of Generalized multiindex Bessel function",
  "authors": [
    "K. S. Nisar",
    "S. D. Purohit",
    "R K. Parmar"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We aim to introduce the generalized multiindex Bessel function $J_{\\left( \\beta _{j}\\right) _{m},\\kappa ,b}^{\\left( \\alpha _{j}\\right)_{m},\\gamma ,c}\\left[ z\\right] $ and to present some formulas of the Riemann-Liouville fractional integration and differentiation operators. Further, we also derive certain integral formulas involving the newly defined generalized multiindex Bessel function $J_{\\left( \\beta _{j}\\right) _{m},\\kappa ,b}^{\\left( \\alpha _{j}\\right)_{m},\\gamma ,c}\\left[ z\\right] $. We prove that such integrals are expressed in terms of the Fox-Wright function $_{p}\\Psi_{q}(z)$. The results presented here are of general in nature and easily reducible to new and known results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-25T05:52:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C20",
      "33B15"
    ],
    "keywords": [
      "fractional calculus",
      "riemann-liouville fractional integration",
      "defined generalized multiindex bessel function",
      "fox-wright function",
      "differentiation operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}