SUMS

作品数：166被引量：230H指数：8
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相关机构：沈阳化工学院中国人民解放军海军工程学院浙江工商大学上海工程技术大学更多>>
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Obtaining Simply Explicit Form and New Properties of Euler Polynomials by Differential Calculus
《Applied Mathematics》2023年第7期460-480,共21页Do Tan Si 
Utilization of the shift operator to represent Euler polynomials as polynomials of Appell type leads directly to its algebraic properties, its relations with powers sums;may be all its relations with Bernoulli polynom...
关键词：Obtaining Appell Type Euler Numbers and Polynomials Relations Euler-Bernoulli Polynomials Sums over km Series on k-m Euler Series of Functions 
Selection of Coherent and Concise Formulae on Bernoulli Polynomials-Numbers-Series and Power Sums-Faulhaber Problems
《Applied Mathematics》2022年第10期799-821,共23页Do Tan Si 
Utilizing the translation operator to represent Bernoulli polynomials and power sums as polynomials of Sheffer-type, we obtain concisely almost all their known properties as so as many new ones, especially new recursi...
关键词：Bernoulli Numbers Bernoulli Polynomials Powers Sums Zeta Function Faulhaber Conjecture 
The Powers Sums, Bernoulli Numbers, Bernoulli Polynomials Rethinked被引量：1
《Applied Mathematics》2019年第3期100-112,共13页Do Tan Si 
Utilizing translation operators we get the powers sums on arithmetic progressions and the Bernoulli polynomials of order munder the form of differential operators acting on monomials. It follows that (d/dn-d/dz) appli...
关键词：BERNOULLI Numbers BERNOULLI POLYNOMIALS POWERS SUMS Faulhaber CONJECTURE Shift OPERATOR OPERATOR Calculus 
Complete Convergence of Weighted Sums for Asymptotically Almost Negatively Associated Sequences
《Applied Mathematics》2017年第11期1662-1670,共9页Jun An 
For weighted sums of asymptotically almost negatively associated (AANA) random variables sequences, we use the Rosenthal type moment inequalities and prove the Marcinkiewicz-Zygmund type complete convergence and obtai...
关键词：ASYMPTOTICALLY ALMOST Negatively Associated Weighted SUMS COMPLETE CONVERGENCE 
On a Class of Supereulerian Digraphs被引量：10
《Applied Mathematics》2016年第3期320-326,共7页Khalid A. Alsatami Xindong Zhang Juan Liu Hong-Jian Lai 
The 2-sum of two digraphs and , denoted , is the digraph obtained from the disjoint union of and by identifying an arc in with an arc in . A digraph D is supereulerian if D contains a spanning eulerian subdigraph. It ...
关键词：Supereulerian Digraph 2-Sums Arc-Strong-Connectivity Hamiltonian-Connected Digraphs 
Independence of the Residual Quadratic Sums in the Dispersion Equation with Noncentral χ<sup>2</sup>-Distribution被引量：1
《Applied Mathematics》2011年第10期1303-1308,共6页Nikolay I. Sidnyaev Kristina S. Andreytseva 
A model adequacy test should be carried out on the basis of accurate aprioristic ideas about a class of adequate models, as in solving of practical problems this class is final. In article, the quadratic sums entering...
关键词：Noncentral χ2--Distribution Dispersion Analysis ADEQUATE Models QUADRATIC SUMS 
A Precise Asymptotic Behaviour of the Large Deviation Probabilities for Weighted Sums
《Applied Mathematics》2011年第9期1175-1181,共7页Gooty Divanji Kokkada Vidyalaxmi 
Let {Xn, n ≥ 1} be a sequence of independent and identically distributed positive valued random variables with a common distribution function F. When F belongs to the domain of partial attraction of a semi stable law...
关键词：Large DEVIATIONS LAW of ITERATED LOGARITHM Semi-Stable LAW Domain of Partial ATTRACTION Weighted SUMS 
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