Results 11 to 20 of about 176 (41)

"Divergent" Ramanujan-type supercongruences

open access: yes
"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
core   +2 more sources

Lacunary generating functions of Hermite polynomials and symbolic methods [PDF]

open access: yes
We employ an umbral formalism to reformulate the theory of Hermite polynomials and the derivation of the associated lacunary generating ...
D. Babusci   +4 more
core  

Computation of the unipotent radical of the differential Galois group for a parameterized second-order linear differential equation

open access: yes
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.
core   +2 more sources

Unemployment Insurance and Household Welfare: Microeconomic Evidence 1980-93 [PDF]

open access: yes
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
core  

Computational methods in algebra and analysis [PDF]

open access: yes
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
core  

The Gold Standard as a `Good Housekeeping Seal of Approval' [PDF]

open access: yes
In this paper we argue that adherence to the gold standard rule of convertibility of national currencies into a fixed weight of gold served as a `good housekeeping seal of approval' which facilitated access by peripheral countries to foreign capital from
Michael D. Bordo
core  

Interlacing Log-concavity of the Boros-Moll Polynomials

open access: yes
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
core   +1 more source

The Abel-Zeilberger Algorithm

open access: yes
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
core   +1 more source

A generalization of Kummer's identity

open access: yes
The well-known Kummer's formula evaluates the hypergeometric series 2F1(A,B;C;-1) when the relation B-A+C=1 holds. This paper deals with evaluation of 2F1(-1) series in the case when C-A+B is an integer.
Vidunas, Raimundas
core   +1 more source

Harmonic interpolation based on Radon projections along the sides of regular polygons

open access: yesOpen Mathematics, 2013
Georgieva Irina   +4 more
doaj   +1 more source

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