Bulletin of the Korean Mathematical Society (대한수학회보)

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

  • Choi, Junesang (Department of Mathematics Dongguk University) ;
  • Parmar, Rakesh Kumar (Department of Mathematics Government College of Engineering and Technology) ;
  • Pogany, Tibor K. (Faculty of Maritime Studies University of Rijeka)
  • Received : 2016.04.12
  • Published : 2017.05.31
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Abstract

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.

Keywords

References

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Cited by

  1. (p, q)-Extended Bessel and Modified Bessel Functions of the First Kind vol.72, pp.1-2, 2017, https://doi.org/10.1007/s00025-016-0649-1
  2. Fractional Integration and Differentiation of the Generalized Mathieu Series vol.6, pp.4, 2017, https://doi.org/10.3390/axioms6030018
  3. Generalized Fractional Integral Operators Pertaining to the Product of Srivastava’s Polynomials and Generalized Mathieu Series vol.7, pp.2, 2019, https://doi.org/10.3390/math7020206