Accession Number:

AD0735506

Title:

On the Transformation of a Functional Equation to Simpler Form

Descriptive Note:

R. E. Gibson Library bulletin translation series

Corporate Author:

JOHNS HOPKINS UNIV LAUREL MD APPLIED PHYSICS LAB

Personal Author(s):

• Leontev, A. F.

Report Date:

1971-02-24

Pagination or Media Count:

30.0

Abstract:

In the present paper the author considers the equation the summation from k 0 to n of the integral from a to b f sup kz xid sigma sup k xi 0, where a,b is a segment of the imaginary axis, sigma sub k xi k 0,1,...,n are functions of bounded variation on a,b. It is assumed that the function fz is defined and has continuous derivatives up to and including the order n on a certain interval a1, b1 subset a,b. The class of such functions is denoted by C sup n a1, b1.

Descriptors:

• *DIFFERENCE EQUATIONS
• USSR
• TRANSFORMATIONS(MATHEMATICS)
• INTEGRAL EQUATIONS
• ANALYTIC FUNCTIONS
• THEOREMS

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE