East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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CERTAIN IDENTITIES ASSOCIATED WITH CHARACTER FORMULAS, CONTINUED FRACTION AND COMBINATORIAL PARTITION IDENTITIES

  • Chaudhary, M.P. (International Scientific Research and Welfare Organization) ;
  • Choi, Junesang (Department of Mathematics, Dongguk University)
  • Received : 2015.12.22
  • Accepted : 2016.06.22
  • Published : 2016.09.30
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Abstract

Folsom [10] investigated character formulas and Chaudhary [7] expressed those formulas in terms of continued fraction identities. Andrews et al. [2] introduced and investigated combinatorial partition identities. By using and combining known formulas, we aim to present certain interrelationships among character formulas, combinatorial partition identities and continued partition identities.

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References

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Cited by

  1. NOTE ON SOME CHARACTER FORMULAS vol.38, pp.4, 2016, https://doi.org/10.5831/HMJ.2016.38.4.809
  2. TWO NEW RELATIONS BETWEEN Q-PRODUCT IDENTITIES, THETA FUNCTION IDENTITIES AND COMBINATORIAL PARTITION IDENTITIES vol.39, pp.3, 2017, https://doi.org/10.5831/hmj.2017.39.3.379
  3. A Family of Theta-Function Identities Based upon Combinatorial Partition Identities Related to Jacobi’s Triple-Product Identity vol.8, pp.6, 2016, https://doi.org/10.3390/math8060918
  4. On relationships between q-product identities and combinatorial partition identities vol.24, pp.1, 2016, https://doi.org/10.5937/matmor2001083c