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Higher-order convolution identities for Cauchy numbers of the second kind
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Let bcn be the n-th Cauchy number of the second kind, defined by the generating function x/(1 + x) ln(1 + x) = P1 n=0 bcnxn P /n!. We obtain explicit expressions for n!/(k1! · · · km!)bck1 · · · bckm for nonnegative integers k1, . . . , km with k1+· · ·+km = n.
Abstract
Let bcn be the n-th Cauchy number of the second kind, defined by the generating function x/(1 + x) ln(1 + x) = P1 n=0 bcnxn P /n!. We obtain explicit expressions for n!/(k1! · · · km!)bck1 · · · bckm for nonnegative integers k1, . . . , km with k1+· · ·+km = n.
참고문헌 (12)
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