Inverse relations, formal power series and Clodgett-Gessel's type binomial identities

• Autores: Chu Wenchang
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 48, Fasc. 3, 1997, págs. 265-280
• Idioma: inglés
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• Resumen

  • A pair of simple bivariate inverse series relations are used by embedding machinery to produce several double summation formulae on shifted factorials (or binomial coefficients), including the evaluation due to Blodgett-Gessel [2]. Their $q$-analogues are established in the second section. Some generalized convolutions are presented through formal power series manipulation.

• Referencias bibliográficas
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  • L. Carlitz, Some expansion and convolution formulas related to MacMahon’s master theorem, SIAM J. Math. Anal. 8 (1977), 320–336.
  • J. Riordan, Combinatorial Identities, John Wiley & Sons, Inc., New York, 1968.
  • V. Strehl, Zykel-Enumeration bei Lokal-strukturierten Functionen (Preprint), Univ. Erlangen-Nürnberg, 1990.