102,208 research outputs found

    Sheffer operation in ortholattices

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    summary:We introduce the concept of Sheffer operation in ortholattices and, more generally, in lattices with antitone involution. By using this, all the fundamental operations of an ortholattice or a lattice with antitone involution are term functions built up from the Sheffer operation. We list axioms characterizing the Sheffer operation in these lattices

    Sheffer and Non-Sheffer Polynomial Families

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    By using the integral transform method, we introduce some non-Sheffer polynomial sets. Furthermore, we show how to compute the connection coefficients for particular expressions of Appell polynomials

    C-0412: 107 East 200 North, Smithfield, Utah, Euphemia G. Sheffer/Mabel G. Monk/Erma G. Griffin/John E. Sheffer residence. Lot 2 Block 30 Plat A. Built 1914

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    C-0412: 107 East 200 North, Smithfield, Utah, Euphemia G. Sheffer/Mabel G. Monk/Erma G. Griffin/John E. Sheffer residence. Lot 2 Block 30 Plat A. Built 191

    Recurrence relations for the Sheffer sequences

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    AbstractIn this paper, using the production matrix of an exponential Riordan array [g(t),f(t)], we give a recurrence relation for the Sheffer sequence for the ordered pair (g(t),f(t)). We also develop a new determinant representation for the general term of the Sheffer sequence. As applications, determinant expressions for some classical Sheffer polynomial sequences are derived

    Sheffer and Non-Sheffer Polynomial Families

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    By using the integral transform method, we introduce some non-Sheffer polynomial sets. Furthermore, we show how to compute the connection coefficients for particular expressions of Appell polynomials

    Multivariate Expansion Associated with Sheffer-type Polynomials and Operators

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    With the aid of multivariate Sheffer-type polynomials and differential operators, this paper provides two kinds of general expansion formulas, called respectively the first expansion formula and the second expansion formula, that yield a constructive solution to the problem of the expansion of A(ˆt)f([g(t)) (a composition of any given formal power series) and the expansion of the multivariate entire functions in terms of multivariate Sheffer-type polynomials, which may be considered an application of the first expansion formula and the Sheffer-type operators. The results are applicable to combinatorics and special function theory

    The zero locus and some combinatorial properties of certain exponential Sheffer sequences

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    We present combinatorial and analytical results concerning a Sheffer sequence with an exponential generating function of the form G(s,z)=eczs+αz2+βz4G(s,z)=e^{czs+\alpha z^{2}+\beta z^{4}}, where α,β,cR\alpha, \beta, c \in \mathbb{R} with β<0\beta<0 and c0c\neq 0. We demonstrate that the zeros of all polynomials in such a Sheffer sequence are either real, or purely imaginary. Additionally, using the properties of Riordan matrices we show that our Sheffer sequence satisfies a three-term recurrence relation of order 4, and we also exhibit a connection between the coefficients of these Sheffer polynomials and the number of nodes with a a given label in certain marked generating trees

    BI-G-STARLIKE FUNCTION ASSOCIATED WITH NORMALIZED ONE VARIABLE GEGENBAUER AND BELL-SHEFFER POLYNOMIALS INVOLVING GREGORY COEFFICIENTS

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    In this enquiry, applying normalized one variable Gegenbauer and Bell-Sheffer Polynomials, the authors introduce a new class of bi-G-starlike functions defined by Gregory and Caratheodory coefficients. Coefficient bounds for the new class were obtained and were consequently used to investigate the concept of Fekete-Szego functional and Toeplitz determinant in this direction

    Analysis of the readout of a high rate MWPC

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    An analytical method to reduce the raw data supplied by a high-speed multiwire proportional chamber (MWPC) is presented. The results obtained with the MWPC and the associated readout system, LeCroy PCOS III, when monitoring a high-intensity flux of positive pions delivered by the M11 channel at TRIUMF are discussed. The method allows the flux intensity, the beam envelope and the detector efficiency to be determined with little uncertainty (few %) at intense particle beams ( > 107 particles/s)

    On the approximation properties of Bernstein-Sheffer operator

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    前言主要介绍一维Bernstein算子的研究成果和各类Bernstein型算子的推广 2Sheffer序列的定义及其有关性质利用幂级数G(t)=DD(n=0DD)g ntn(g0)H(t)=t+ht2和exH(t)=DD(n=0DD)P n(x)S X(tnn!SX)G(x)exH(t)=DD(n=0DD)Sn(x)SX( t nn!SX)定义并给出了Sheffer序列Pn(x)Sn(x)及其具体表 示式证明了 HTH定理2.1HT当h0时对x(01有SX(Pn(x)Pn+1 (x) SX)SX(1xSX) HTH定理2.2HT当h0时对x(01有SX(Pn-2(x)P ...Bernstein-Sheffer operator is defined as B H n(f(t),x)=SX(1 P n(1) SX)DD(n k=0 DD)f JB((SX(k n SX)JB))JB((n k JB))P n(x)P n-k (1-x)(P n(1)0) This thesis includes six sections. Section 1 is an introduction in which some results about 1-dimention and various others Bernstein operators are introduced.Bernstein operator is generalized in a different perspective. Section 2 presents the definatio...学位:理学硕士院系专业:数学系_基础数学学号:19952300
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