Operational methods, special polynomial and functions and solution of partial differential equations

被引：20

作者：

Dattoli, G

Ricci, PE

Khomasuridze, I

机构：

[1] ENEA, Unita Tecn Sci Tecnol Fis Avanzate, Ctr Ric Franscati, I-00044 Frascati, Rome, Italy

[2] Univ Rome, Dipartimento Matemat, I-00185 Rome, Italy

[3] Tbilisi State Univ, Inst Appl Math, GE-380043 Tbilisi, Georgia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2004年 / 15卷 / 04期

关键词：

monomiality; operational methods; partial differential equations; evolution operators; integral transforms; Tricomi functions;

D O I：

10.1080/10652460410001673013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss an operational method aimed at providing explicit solutions for families of partial differential equations including those of Heat and D'Alembert type. The combination of the monomiality principle and of the methods proposed in this article will be shown to be a useful tool for the solution of equations, hardly solvable with conventional means.

引用

页码：309 / 321

页数：13