On the Transformation of a Functional Equation to Simpler Form
R. E. Gibson Library bulletin translation series
JOHNS HOPKINS UNIV LAUREL MD APPLIED PHYSICS LAB
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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.
- Numerical Mathematics