Kyungpook Mathematical Journal

  • 제58권4호
  • /
  • Pages.599-613
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  • 2018
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  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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On a Generalization of the Pentagonal Number Theorem

  • Leung, Ho-Hon (Department of Mathematical Sciences, United Arab Emirates University)
  • 투고 : 2018.04.03
  • 심사 : 2018.08.27
  • 발행 : 2018.12.23
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초록

We study a generalization of the classical Pentagonal Number Theorem and its applications. We derive new identities for certain infinite series, recurrence relations and convolution sums for certain restricted partitions and divisor sums. We also derive new identities for Bell polynomials.

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과제정보

연구 과제 주관 기관 : UAEU

참고문헌

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