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WEI Chuan-an. Gould-Hsu inversions and Hagen-Rothe type convolutions(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2009, (1): 78-83.
Citation:
WEI Chuan-an. Gould-Hsu inversions and Hagen-Rothe type convolutions(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2009, (1): 78-83.
WEI Chuan-an. Gould-Hsu inversions and Hagen-Rothe type convolutions(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2009, (1): 78-83.
Citation:
WEI Chuan-an. Gould-Hsu inversions and Hagen-Rothe type convolutions(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2009, (1): 78-83.
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.
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