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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2018.1
- 수록면
- 599 - 613 (15page)
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We study a generalization of the classical Pentagonal Number Theorem and its applications. We derive new identities for certain in nite 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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참고문헌 (12)
참고문헌 신청
G. Andrews / 1983 / Euler's pentagonal number theorem / Math. Mag 56(5):279~284
J. Bell / 2010 / A summary of Euler's work on the pentagonal number theorem / Arch. Hist. Exact Sci 64(3):301~373
S. Bouroubi / 2009 / A new identify for complete Bell polynomials based on a formula of Ramanujan / J. Integer Seq 12:6
T.R. Chandrupatla / 2007 / Surprising connections between parti-tions and divisors / College Math. J 38(4):278~287
W.-S. Chaou / 2006 / Application of Fa adi Bruno's formula in characterization of inverse relations / J. Comput. Appl. Math 190:151~169
J. Bell / 2010 / A summary of Euler's work on the pentagonal number theorem / Arch. Hist. Exact Sci 64(3):301~373
S. Bouroubi / 2009 / A new identify for complete Bell polynomials based on a formula of Ramanujan / J. Integer Seq 12:6
T.R. Chandrupatla / 2007 / Surprising connections between parti-tions and divisors / College Math. J 38(4):278~287
W.-S. Chaou / 2006 / Application of Fa adi Bruno's formula in characterization of inverse relations / J. Comput. Appl. Math 190:151~169
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