Results 11 to 20 of about 162 (24)
Computation of the unipotent radical of the differential Galois group for a parameterized second-order linear differential equation [PDF]
, 2014 We propose a new method to compute the unipotent radical $R_u(H)$ of the differential Galois group $H$ associated to a parameterized second-order homogeneous linear differential equation of the form \[\tfrac{\partial^2}{\partial x^2}Y-qY=0,\] where $q ...
Arreche, Carlos E.
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Journal of Ocean Engineering and Science, 2023 Nonlinear evolution equations (NLEEs) are frequently employed to determine the fundamental principles of natural phenomena. Nonlinear equations are studied extensively in nonlinear sciences, ocean physics, fluid dynamics, plasma physics, scientific ...
Sachin Kumar +2 more
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A Telescoping method for Double Summations [PDF]
, 2005 We present a method to prove hypergeometric double summation identities. Given a hypergeometric term $F(n,i,j)$, we aim to find a difference operator $ L=a_0(n) N^0 + a_1(n) N^1 +...+a_r(n) N^r $ and rational functions $R_1(n,i,j),R_2(n,i,j)$ such that $
Chen, William Y. C. +2 more
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A generic formula for the values at the boundary points of monic classical orthogonal polynomials [PDF]
, 2005 In a previous paper we have determined a generic formula for the polynomial solution families of the well-known differential equation of hypergeometric typeσ(x)yn″(x)+τ(x)yn′(x)-λnyn(x)=0.In this paper, we give another such formula which enables us to ...
Koepf, Wolfram, Masjed-Jamei, Mohammad
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Lacunary generating functions of Hermite polynomials and symbolic methods [PDF]
, 2015 We employ an umbral formalism to reformulate the theory of Hermite polynomials and the derivation of the associated lacunary generating ...
D. Babusci +4 more
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"Divergent" Ramanujan-type supercongruences
, 2010 "Divergent" Ramanujan-type series for $1/\pi$ and $1/\pi^2$ provide us with new nice examples of supercongruences of the same kind as those related to the convergent cases.
Guillera, Jesús, Zudilin, Wadim
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Interlacing Log-concavity of the Boros-Moll Polynomials [PDF]
, 2010 We introduce the notion of interlacing log-concavity of a polynomial sequence $\{P_m(x)\}_{m\geq 0}$, where $P_m(x)$ is a polynomial of degree m with positive coefficients $a_{i}(m)$.
Chen, William Y. C. +2 more
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The Abel-Zeilberger Algorithm [PDF]
, 2011 We use both Abel's lemma on summation by parts and Zeilberger's algorithm to find recurrence relations for definite summations. The role of Abel's lemma can be extended to the case of linear difference operators with polynomial coefficients.
Chen, William Y. C. +2 more
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Computational methods in algebra and analysis [PDF]
, 2007 This paper describes some applications of Computer Algebra to Algebraic Analysis also known as D-module theory, i.e. the algebraic study of the systems of linear partial differential equations.
Castro Jiménez, Francisco Jesús
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Unemployment Insurance and Household Welfare: Microeconomic Evidence 1980-93 [PDF]
This study examines the relative economic well-being of households that receive unemployment insurance (UI) benefits, as measured by consumption flows that are derived from information on households' spending in the Consumer Expenditure Surveys from 1980-
Daniel S. Hamermesh, Daniel T. Slesnick
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