The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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FUNCTIONAL RELATIONS INVOLVING SARAN'S HYPERGEOMETRIC FUNCTIONS FE AND F(3)

  • Kim, Yong-Sup (Department of Mathematics Education, Wonkwang University) ;
  • Hasanov, Anvar (Institute of Mathematics and Information Technology)
  • Received : 2011.10.10
  • Accepted : 2012.02.16
  • Published : 2012.02.28
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Abstract

By simply splitting the hypergeometric Saran function $F_E$ into eight parts, we show how some useful and generalized relations between $F_E$ and Srivas- tava's hypergeometric function $F^{(3)}$ can be obtained. These main results are shown to be specialized to yield certain relations between functions $_0F_1$, $_1F_1$, $_0F_3$, ${\Psi}_2$, and their products including different combinations with different values of parameters and signs of variables.

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References

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