Results 11 to 20 of about 169 (23)

Specific wave profiles and closed-form soliton solutions for generalized nonlinear wave equation in (3+1)-dimensions with gas bubbles in hydrodynamics and fluids

open access: yesJournal 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
doaj  

Computing periods of rational integrals [PDF]

open access: yes, 2014
A period of a rational integral is the result of integrating, with respect to one or several variables, a rational function over a closed path.
Lairez, Pierre
core   +7 more sources

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

open access: yes, 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
core  

"Divergent" Ramanujan-type supercongruences

open access: yes, 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
core   +2 more sources

Interlacing Log-concavity of the Boros-Moll Polynomials [PDF]

open access: yes, 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
core  

The Abel-Zeilberger Algorithm [PDF]

open access: yes, 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
core  

Computational methods in algebra and analysis [PDF]

open access: yes, 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
core  

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  

A generalization of Kummer's identity

open access: yes, 2000
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  

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  

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