Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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The Fourth and Eighth Order Mock Theta Functions

  • Received : 2009.07.30
  • Accepted : 2009.09.09
  • Published : 2010.03.31
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Abstract

In the paper we consider deemed three mock theta functions introduced by Hikami. We have given their alternative expressions in double summation analogous to Hecke type expansion. In proving we also give a new Bailey pair relative to $a^2$. I presume they will be helpful in getting fundamental transformations.

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References

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