N. Gurappa, Pankaj K. Jha, Prasanta K. Panigrahi, “On the Applications of a New Technique to Solve Linear Differential Equations, with and without Source”, SIGMA, 2007, Volume 3,057, 6 pp.

This article is cited in 3 papers

On the Applications of a New Technique to Solve Linear Differential Equations, with and without Source

N. Gurappa^a, Pankaj K. Jha^b, Prasanta K. Panigrahi^c

^a Saha Institute of Nuclear Physics, Bidhannagar, Kolkata 700 064, India
^b Department of Physics, Texas A M University, TX 77843, USA
^c Physical Research Laboratory, Navrangpura, Ahmedabad 380 009, India

Abstract: A general method for solving linear differential equations of arbitrary order, is used to arrive at new representations for the solutions of the known differential equations, both without and with a source term. A new quasi-solvable potential has also been constructed taking recourse to the above method.

Keywords: Euler operator; monomials; quasi-exactly solvable models.

MSC: 33C99; 81U15

Received: November 1, 2006; in final form March 29, 2007; Published online April 20, 2007

Language: English

DOI: 10.3842/SIGMA.2007.057