Q-SERIES

作品数：9被引量：2H指数：1
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相关期刊：《Acta Mathematica Sinica,English Series》《Science China Mathematics》《管理观察》《Acta Mathematica Scientia》更多>>
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SOME NEW IDENTITIES OF ROGERS-RAMANUJAN TYPE
《Acta Mathematica Scientia》2024年第1期129-142,共14页谷晶 张之正 
supported by the National Natural Science Foundation of China(12271234)。
In this paper,we establish two transformation formulas for nonterminating basic hypergeometric series by using Carlitz's inversions formulas and Jackson s transformation formula.In terms of application,by specializing...
关键词：Carlitz's inversion Q-SERIES Rogers-Ramanujan type identities 
A Multiple q-translation Formula and Its Implications
《Acta Mathematica Sinica,English Series》2023年第12期2338-2363,共26页Zhi Guo LIU 
Supported by the National Natural Science Foundation of China(Grant No.11971173);Science and Technology Commission of Shanghai Municipality(Grant No.22DZ2229014)。
Using Hartogs'fundamental theorem for analytic functions in several complex variables,we establish a multiple q-exponential differential operational identity for the analytic functions in several variables,which can b...
关键词：Q-SERIES q-beta integral q-exponential differential operator q-translation Rogers-Szego polynomials 
Some New Transformation Formulas for q-Series through the Bailey Transform
《Advances in Pure Mathematics》2023年第10期651-661,共11页Lijun Hao Liangliang Xu 
In the literature, the Bailey transform has many applications in basic hypergeometric series. In this paper, we derive many new transformation formulas for q-series by means of the Bailey transform. Meanwhile, We also...
关键词：Q-SERIES Bailey Transform Transformation Formulas Rogers-Ramanujan Identities 
A q-operational equation and the Rogers-Szegő polynomials
《Science China Mathematics》2023年第6期1199-1216,共18页Zhiguo Liu 
supported by National Natural Science Foundation of China (Grant No.11971173);Science and Technology Commission of Shanghai Municipality (Grant No.13dz2260400)。
By solving a q-operational equation with formal power series,we prove a new q-exponential operational identity.This operational identity reveals an essential feature of the Rogers-Szegő polynomials and enables us to d...
关键词：Q-SERIES Q-DERIVATIVE q-operational equation q-exponential operator Rogers-Szegőpolynomial 
ON THETA-TYPE FUNCTIONS IN THE FORM(x;q)∞
《Acta Mathematica Scientia》2021年第6期2086-2106,共21页Changgui ZHANG 
The author was supported by Labex CEMPI(Centre Europeen pour les Mathematiques,la Physique et leurs Interaction).
As in our previous work [14], a function is said to be of theta-type when its asymptotic behavior near any root of unity is similar to what happened for Jacobi theta functions. It is shown that only four Euler infinit...
关键词：Q-SERIES Mock theta-functions Stokes phenomenon continued fractions 
Some Rogers-Ramanujan-Bailey Type Identities
《Chinese Quarterly Journal of Mathematics》2010年第3期327-334,共8页ZHANG Zhi-zheng ZHANG Ying 
Supported by the National Natural Science Foundation of China（10771093）
By introducing multiparameter generalization of Bailey pair,the purpose of this paper is to find a number of new Rogers-Ramanujan-Bailey type identities.
关键词：Rogers-Ramanujan identity Bailey pair q-series identity 
Abel’s lemma on summation by parts and partial q-series transformations被引量：1
《Science China Mathematics》2009年第4期720-748,共29页CHU WenChang WANG ChenYing 
supported by National Natural Science Foundation for the Youth (Grant No. 10801026)
The partial sums of basic hypergeometric series are investigated by means of the modified Abel lemma on summation by parts. Several transformation and summation formulae for well-poised, quadratic, cubic and quartic q...
关键词：Abel’s lemma on summation by parts basic hypergeometric series well-poised series quadratic series cubic series quartic series reciprocal relation 33D15 05A15 
A Short Proof of Ramanujan＇s 1ψ1 Formula被引量：1
《Journal of Mathematical Research and Exposition》2008年第1期46-48,共3页CHEN Xiao-fing LIU Qi-qun MA Xin-rong 
the Natural Science Foundation for Universities of Jiangsu Province （No. 07KJB110099）.
In this paper,we give a short proof of the celebrated Ramanujan's 1ψ1 formula.
关键词：q-binomial theorem Ramanujan＇s 1ψ1 formula bilateral q-series. 
中间软件MQ-Series的管理
《管理观察》1999年第11期58-58,共1页李斌 
报道了对中间软件（Middlewares）重新感兴趣的有关情况。由于采用MQ－Series（MQS）梳形端子板的Candle（C）和BooleandBabbage（BB）系统的出现，引起了IBM公司对中间软件的兴趣。新的系统保证在MQS元件按网络分布的基础上对MQS的排...
关键词：软件 组织管理 网络分布 系统保证 端子板 相互联系 IBM公司 BOOLE 兴趣 梳形 
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