• Title/Summary/Keyword: Cahen formula

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MATHIEU-TYPE SERIES BUILT BY (p, q)-EXTENDED GAUSSIAN HYPERGEOMETRIC FUNCTION

  • Choi, Junesang;Parmar, Rakesh Kumar;Pogany, Tibor K.
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.3
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    • pp.789-797
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    • 2017
  • The main purpose of this paper is to present closed integral form expressions for the Mathieu-type a-series and its associated alternating version whose terms contain a (p, q)-extended Gauss' hypergeometric function. Certain upper bounds for the two series are also given.