论文信息 - Dougall–Dixon formula and harmonic number identities - 字舞流文

Dougall–Dixon formula and harmonic number identities

Abstract The Dougall–Dixon summation formula is reformulated in terms of binomial sums. By computing their second derivatives, we establish several harmonic number identities.

Wenchang Chu | Amy M. Fu

[1] J.A.C. Weideman,et al. Padé Approximations to the Logarithm I: Derivation Via Differential Equations , 2005 .

[2] Wenchang Chu,et al. Harmonic number identities and Hermite-Padé approximations to the logarithm function , 2005, J. Approx. Theory.

[3] W. N. Bailey,et al. Generalized hypergeometric series , 1935 .

[4] Wenchang Chu,et al. A Binomial Coefficient Identity Associated with Beukers' Conjecture on Apery numbers , 2004, Electron. J. Comb..

[5] Helmut Prodinger,et al. Padé approximations to the logarithm II: Identities, recurrences, and symbolic computation , 2006 .

[6] A. Benjamin,et al. A Stirling Encounter with Harmonic Numbers , 2002 .

[7] Wenchang Chu,et al. Hypergeometric series and harmonic number identities , 2005, Adv. Appl. Math..

[8] Helmut Prodinger,et al. Padé approximations to the logarithm III: Alternative methods and additional results , 2006 .

[9] K. Stromberg. Introduction to classical real analysis , 1981 .

[10] Carsten Schneider,et al. Computer proofs of a new family of harmonic number identities , 2003, Adv. Appl. Math..