Journal of East China Normal University(Natural Sc ›› 2009, Vol. 2009 ›› Issue (1): 78-83.

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Gould-Hsu inversions and Hagen-Rothe type convolutions(Chinese)

WEI Chuan-an   

  1. Department of Information Technology, Hainan Medical College, Haikou 571101, China
  • Received:2008-04-18 Revised:2008-06-05 Online:2009-01-25 Published:2009-01-25

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Abstract:

Four kinds of Hagen-Rothe type convolutions were defined
by introducing denominator factors. They have no closed expressions
themselves. Two identities due to Andrews and Burge produced other
four convolution formulas by means of reversals and linear
combinations. Starting from these four formulae and using Gould-Hsu
inversions, four pairs of reciprocal formulas with respect to
Hagen-Rothe type convolutions were established.

Key words: Hagen-Rothe convolutions, Hagen-Rothe type convolutions, Gould-Hsu inversions, Hagen-Rothe convolutions, Hagen-Rothe type convolutions

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