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On two identities of Fu and Lascoux

Z. Zhang|J. Yang
장전수학회 (Jangjeon Mathematical Society)|2009.01|Advanced Studies in Contemporary Mathematics|제18권 제1호|pp. 59-67

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참고문헌

키워드

reciprocal relationq-series identityq{exponential operator
주제분류수학

초록

The purpose of this note is to give some generalizations of two identities of Fu and Lascoux.

Abstract

The purpose of this note is to give some generalizations of two identities of Fu and Lascoux.

참고문헌 (16)

  1. C. Adiga, "Modular equations in the theory of signature 3 and P-Q identities", Advanced Studies in Contemporary Mathematics, 7(1), pp.33~40 (2003)
  2. S. Corteel, "Overpartitions", Trans. Amer. Math. Soc., 356, pp.1623~1635 (2004)
  3. W. Y. C. Chen, "homogeneous q-difference operator", Adv. Appl. Math., 31, pp.659~668 (2003)
  4. W. Y. C. Chen, "Parameter augmentation for basic hypergeometric series, II", J. Comb. Theory, Ser. A, 80, pp.175~195 (1997)
  5. W. Y. C. Chen, "Parameter augmentation for basic hypergeometric series, I, in Mathematical Essays in honor of Gian-Carlo Rota", pp.111~129 (1998), Birkauser
  6. A. M. Fu, "q-identities related to overppartitions and divisor functions", Electr. J. Comb., 12 (2005)
  7. Taekyun Kim, "The modified q-Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 16(2), pp.161~170 (2008), 장전수학회
  8. T. Kim, "q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients", Russ. J. Math. Phys., 15(1), pp.51~57 (2008)
  9. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys., 9(3), pp.288~299 (2002)
  10. T. Kim, "On a generalization of Jacobi's triple product identity and its applications", Advanced Studies in Contemporary Mathematics, 9(2), pp.165~174 (2004)
  11. J. Riordan, "An Introduction to Combinatorial Analysis" (1978), Princeton University Press
  12. J. Goldman, "On the foundations of combinatorial theory IV: finite functions", Studies in Appl. Math., 49, pp.239~258 (1970)
  13. J. Zeng, "On some q-identities related to divisor functions", Adv. Appl. Math., 34(2), pp.313~315 (2005)
  14. Z. Z. Zhang, "Several identities relatrd to Mercier's", Mathematica Montisnigri, 11, pp.159~171 (1999)
  15. Z. Z. Zhang, "Two operator identities and their applications to terminating basic hypergeometric series and q-integrals", J. Math. Anal. Appl., 312(2), pp.653~665 (2005)
  16. Z. Z. Zhang, "identities involving the bivariate Rogers-Szego polynomials and their applications to the multiple q-series identities", J. Math. Anal. Appl., 343(2), pp.884~903 (2008)

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