On the Transformation of a Functional Equation to Simpler Form

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 (k)(z + xi)d 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 f(z) 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).

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Document Details

Document Type
Technical Report
Publication Date
Feb 24, 1971
Accession Number
AD0735506

Entities

People

  • A. F. Leontev

Organizations

  • Johns Hopkins University

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Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Classification
  • Coefficients
  • Convergence
  • Difference Equations
  • Equations
  • Exponential Functions
  • Identities
  • Inequalities
  • Integrals
  • Intervals
  • Mathematical Analysis
  • Mathematics
  • Notation
  • Plastic Explosives
  • Polynomials
  • Reasoning
  • Security

Fields of Study

  • Mathematics

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  • Analytical Mechanics
  • Linear Algebra