Operational methods and differential equations with applications to initial-value problems

G. Dattoli, H.M. Srivastava, K. Zhukovsky

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

The authors present and develop a general method of operational nature in order to explore and investigate such families of orthogonal polynomials and functions as the classical and generalized Hermite and Laguerre polynomials, as well as their higher-order and multi-index cases. They also consider several applications of these operational techniques to the solutions of a wide class of partial differential equations, including (for example) the heat, wave, and transport equations, some of which involve second-order Laguerre derivatives. © 2006 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)979 - 1001
Number of pages23
JournalApplied Mathematics and Computation
Volume184
Issue number2
DOIs
Publication statusPublished - 15 Jan 2007
Externally publishedYes

    Fingerprint

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this