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Quantum fields presentation and generating functions of symplectic Schur functions and symplectic universal characters

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Chinese Physics B 2022年第8期31卷 197-206页

作者： Denghui Li Fei Wang Zhaowen Yan School of Mathematical Sciences Inner Mongolia UniversityHohhot 010021China

This paper is concerned with construction of quantum fields presentation and generating functions of symplectic Schur functions and symplectic universal *** boson-fermion correspondence for these symmetric functions have been *** virtue of quantum fields,we derive a series of infinite order nonlinear integrable equations,namely,universal character hierarchy,symplectic KP hierarchy and symplectic universal character hierarchy,*** addition,the solutions of these integrable systems have been discussed.

关键词： quantum fields generating functions integrable systems symmetric functions boson–fermion correspondence

Multiparameter generalized universal characters and multiparameter generalized B-type universal characters

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Chinese Physics B 2025年第1期34卷 215-226页

作者： Jingfan Wang Zhaowen Yan School of Mathematical Sciences Inner Mongolia UniversityHohhot 010021China

We construct the quantum fields presentation of the generalized universal character and the generalized B-type universal character,and by acting the quantum fields presentations to the constant 1,the generating functions are ***,we introduce two integrable systems known as the generalized UC(GUC)hierarchy and the generalized Btype UC(GBUC)hierarchy satisfied by the generalized universal character and the generalized B-type universal character,*** on infinite sequences of complex numbers,we further establish the multiparameter generalized universal character and the multiparameter generalized B-type universal character,which have been proved to be solutions of the GUC hierarchy and the GBUC hierarchy,respectively.

关键词： symmetric functions quantum fields generating functions multiparameter generalized universal characters

Diagonal Slices of 3D Young Diagrams in the Approach of Maya Diagrams

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Chinese Physics Letters 2014年第9期31卷 17-19页

作者：蔡立强王丽芳吴可杨洁 Department of Mathematics Jilin University Changchun 130012 School of Mathematical Sciences Capital Normal University Beijing 100048 Beijing Center for Mathematics and Information Interdisciplinary Sciences Beijing 100190

According to the correspondence between 2D Young diagrams and Maya diagrams and the relation between 21） and 3D Young diagrams, we construct 3D Young diagrams in the approach of Maya diagrams. Moreover, we formulate ... 详细信息

关键词： CHARTS, diagrams, etc. INTEGERS RESEARCH generating functions STATISTICAL physics HAMILTONIAN mechanics

Approximation by Sz´asz Type Operators Involving Apostol-Genocchi Polynomials

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Computer Modeling in Engineering & Sciences 2022年第1期130卷 287-297页

作者： Mine Menekse Yılmaz Department of Mathematics Faculty of Arts and ScienceUniversity of GaziantepGaziantepTR-27310Turkey

The goal of this paper is to give a form of the operator involving the generating function of Apostol-Genocchi polynomials of orderα.Applying the Korovkin theorem,we arrive at the convergence of the operator with the aid of moments and central *** determine the rate of convergence of the operator using several tools such as K-functional,modulus of continuity,second modulus of *** also give a type of Voronovskaya theorem for estimating ***,we investigate some results about convergence properties of the operator in a weighted ***,we give numerical examples to support our theorems by using the Maple.

关键词： Apostol-Genocchi polynomials rate of convergence Korovkin theorem modulus of continuity Sz´asz type operators generating functions

CONTACT ALGORITHMS FOR CONTACT DYNAMICAL SYSTEMS

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Journal of Computational Mathematics 1998年第1期16卷 1-14页

作者： Kang Feng 中科院计算数学与科学工程计算所北京

In this paper, we develop a general way to construct contact algorithms for contact dynamical systems. Such an algorithm requires the corresponding step transition map preserve the contact structure of the underlying contact phase space. The constructions are based on the correspondence between the contact geometry of R2n+1 and the conic symplectic one of R2n+2 and therefore, the algorithms are derived naturally from the symplectic algorithms of Hamiltonian systems.

关键词： contact algorithms contact systems conic symplectic geometry generating functions

THE ENUMERATION OF SEVERAL CLASSES OF HEXAGONAL SYSTEMS

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Acta Mathematicae Applicatae Sinica 1999年第1期15卷 65-71页

作者：张福基郭晓峰 Department of Mathematics Xiamen University Xiamen China Institute of Mathematics and Physics Xinjiang University Wulumuqi China

In [1], we introduced the concept of z-transformation graphs of perfect matchings of hexagonal systems and showed that the z-transformation graph of perfect matchings of a hexagonal system has at most two vertices of degree one. In this paper, we enumerate the hexagonal systems whose z-transformation graphs have a vertex of degree one. In particular, such hexagonal systems with various symmetries are also enumerated.

关键词： Hexagonal Systems z-transformation graphs generating functions partitions

The Moments of First Entrance Time Distributions of Markov Chains in Random Environments

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Chinese Quarterly Journal of Mathematics 2011年第1期26卷 51-55页

作者： LI Shou-wei ZHU Dong-jin School of Economics and Management Southeast UniversityNanjing 211189China Department of Mathematics Anhui Normal UniversityWuhu 241003China

After defining generating functions,this paper discusses their properties,and then provides a sufFcient and necessary condition for a finite property of the moments of first entrance time distributions of Markov chains in random environments by generating ***,the paper obtains relevant conclusions of the moments of first entrance time distributions.

关键词： random environments taboo set generating functions

Some Remarks for the Relationships between the Generalized Bernoulli and Euler Polynomials

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Chinese Quarterly Journal of Mathematics 2010年第1期25卷 16-22页

作者： LUO Qiu-ming GE Shu-mei Department of Mathematics East China Normal University Shanghai 200241 China Department of Mathematics Jiaozuo University Jiaozuo 454003 China

In this paper,we prove the Srivastava-Pint'er's addition theorems(see Applied Mathematic Lett.17(2004),375-380) by applying the another *** also provide some analoges of these addition theorems and deduce the correspo... 详细信息

关键词： Bernoulli polynomials and numbers Euler polynomials and numbers generalized Bernoulli polynomials and numbers generalized Euler polynomials and numbers generating functions Srivastava-Pinter's addition theorem

PERFORMANCE ANALYSIS FOR THE RECEIVER WITH ISI

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Transactions of Nanjing University of Aeronautics and Astronautics 1995年第2期12卷 212-217页

作者：仰枫帆毕光国东南大学无线电工程系

In this paper we use trellis coded amplitude modulation (TC-AM) as models to analyze the receivers with intersymbol interference (ISI) under BPSK and π/4-QPSK *** the modified generating function and the weight profile function of the TC-AM,the bit error probability for both cases is evaluated in the sense of maximum likelihood *** numerical result is given.

关键词： intersymbol interferences maximum-likelihood decoding generating functions weight profile functions trellis coded modulation