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ON THE SPECIAL VALUES OF TORNHEIM'S MULTIPLE SERIES
ON THE SPECIAL VALUES OF TORNHEIM'S MULTIPLE SERIES
Journal of applied mathematics & informatics. 2015. May, 33(3_4): 305-315
  • Received : January 12, 2015
  • Published : May 30, 2015
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KIM MIN-SOO

Abstract
Recently, Jianxin Liu, Hao Pan and Yong Zhang in [On the integral of the product of the Appell polynomials, Integral Transforms Spec. Funct. 25 (2014), no. 9, 680-685] established an explicit formula for the integral of the product of several Appell polynomials. Their work generalizes all the known results by previous authors on the integral of the product of Bernoulli and Euler polynomials. In this note, by using a special case of their formula for Euler polynomials, we shall provide several reciprocity relations between the special values of Tornheim's multiple series.
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