{
  "id": "1609.06895",
  "version": "v1",
  "published": "2016-09-22T10:13:06.000Z",
  "updated": "2016-09-22T10:13:06.000Z",
  "title": "Short proofs for $q$-Raabe formula and integrals for Jacobi theta functions",
  "authors": [
    "Mohamed El Bachraoui"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We shall answer a question of Mez\\H{o} on the $q$-analogue of the Raabe's integral formula for $0<q<1$ and we shall evaluate an integral involving the first theta function. Moreover, we will reproduce short proofs for some identities of Mez\\H{o}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-22T10:13:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "jacobi theta functions",
      "raabe formula",
      "raabes integral formula",
      "reproduce short proofs",
      "first theta function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}