DIFFERENTIAL-OPERATORS AND THE LAGUERRE TYPE POLYNOMIALS

被引：8

作者：

EVERITT, WN

KRALL, AM

LITTLEJOHN, LL

ONYANGOOTIENO, VP

机构：

[1] EGERTON UNIV,DEPT PHYS SCI,NJORO,KENYA

[2] UTAH STATE UNIV,DEPT MATH,LOGAN,UT 84322

[3] PENN STATE UNIV,DEPT MATH,UNIV PK,PA 16802

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1992年 / 23卷 / 03期

关键词：

ORTHOGONAL POLYNOMIALS; DIFFERENTIAL EQUATIONS; RIGHT-DEFINITE BOUNDARY VALUE PROBLEM; LEFT-DEFINITE BOUNDARY VALUE PROBLEMS; SELF-ADJOINT OPERATORS;

D O I：

10.1137/0523037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In 1940, all fourth-order differential equations which have a sequence of orthogonal polynomial eigenfunctions were classified by H. L. Krall, up to a linear change of variable. One of these equations was subsequently named the Laguerre type equation and various properties of the orthogonal polynomial solutions and the right-definite boundary value problem were studied by A. M. Krall in 1981. In this paper, the Laguerre type expression is further studied in the right-definite setting and the appropriate left-definite problem associated with the fourth-order Laguerre type differential expression is discussed in detail.

引用

页码：722 / 736

页数：15

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