Dianxuan Gong

activity

20112018

most citedChu-Vandermonde convolution and harmonic number identities

2 citations · 2 across the 13 of their papers we have counts for

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Showing 2011Show all

4 papers · 1 filter

math.CO2011

Verification of Binomial theorem and Chu-Vandermonde convolution by the finite difference method

Chuanan Wei, Dianxuan Gong

In this note, we show that Binomial theorem and Chu-Vandermonde convolution can both be verified by the finite difference method.

math.CO2011

Summation formulae for $q$ -Watson type $_{4} ϕ_{3}$ -series

Chuanan Wei, Dianxuan Gong, Jianbo Li

According to the method of series rearrangement, we establish two families of summation formulae for $q$ -Watson type $_{4} ϕ_{3}$ -series.

math.CO2011

Derivative operator and harmonic number identities

Chuanan Wei, Dianxuan Gong

By applying the derivative operator to the corresponding hypergeometric form of a $q$ -series transformation due to Andrews [1,Theorem 4], we establish a general harmonic number ide…

math.CO2011

$π$ -formulas with free parameters

Chuan Wei, Dianxuan Gong, Jianbo Li

In terms of the hypergeometric method, we give the extensions of two known series for $π$ . Further, other twenty-nine summation formulas for $π$ , $π^{2}$ and $1/ π$ with free paramete…

Verification of Binomial theorem and Chu-Vandermonde convolution by the finite difference method

Summation formulae for q-Watson type 4​ϕ3​-series

Derivative operator and harmonic number identities

π-formulas with free parameters

Summation formulae for $q$ -Watson type $_{4} ϕ_{3}$ -series

$π$ -formulas with free parameters