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Shifted harmonic sums of order two

Anthony Sofo
대한수학회 (The Korean Mathematical Society)|2014.04|대한수학회논문집 (Communications of the KMS)|제29권 제2호|pp. 239-255

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참고문헌

키워드

polygamma functionharmonic numbersbinomial coefficients and gamma functionpartial fraction approachhypergeometric identity
주제분류수학

초록

We develop a set of identities for Euler type sums. In particular we investigate products of shifted harmonic numbers of order two and reciprocal binomial coefficients.

Abstract

We develop a set of identities for Euler type sums. In particular we investigate products of shifted harmonic numbers of order two and reciprocal binomial coefficients.

참고문헌 (21)

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  11. E. Munarini, "Riordan matrices and sums of harmonic numbers", Appl. Anal. Discrete Math, 5(2), pp.176~200 (2011)
  12. A. Sofo, "Computational Techniques for the Summation of Series", pp.2003, Kluwer Academic
  13. A. Sofo, "Sums of derivatives of binomial coefficients", Adv. in Appl. Math, 42(1), pp.123~134 (2009)
  14. A. Sofo, "Harmonic sums and integral representations", J. Appl. Anal, 16(2), pp.265~277 (2010)
  15. A. Sofo, "Harmonic number sums in higher powers", J. Math. Anal, 2(2), pp.15~22 (2011)
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  18. A. Sofo, "Finite number sums in higher order powers of harmonic numbers", Bull. Math. Anal. Appl, 5, pp.71~79 (2013)
  19. A. Sofo, "Mixed binomial sum identities", Integral Transforms Spec. Funct, 24(3), pp.187~200 (2013)
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  21. H. M. Srivastava, "Series Associated with the Zeta and Related Functions" (2001), Kluwer Academic Publishers

관련 논문AI추천

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