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The Youngnam Mathematical Society (영남수학회)
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NOTE ON MODULAR RELATIONS FOR THE ROGER-RAMANUJAN TYPE IDENTITIES AND REPRESENTATIONS FOR JACOBIAN IDENTITY

  • CHAUDHARY, M.P. (INTERNATIONAL SCIENTIFIC RESEARCH AND WELFARE ORGANIZATION) ;
  • CHOI, JUNESANG (DEPARTMENT OF MATHEMATICS, DONGGUK UNIVERSITY)
  • Received : 2015.07.06
  • Accepted : 2015.09.07
  • Published : 2015.09.30
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Abstract

Combining and specializing some known results, we establish six identities which depict six modular relations for the Roger-Ramanujan type identities and two equivalent representations for Jacobian identity expressed in terms of combinatorial partition identities and Ramanujan-Selberg continued fraction. Two q-product identities are also considered.

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References

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