On the sum or integral of the product of two functions |
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| Authors: | J. F. Steffensen |
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| Abstract: | Abstract The present paper is a sequel to an earlier paper of mine1 which will be quoted below as >2First Paper>2. Since then, several important contributions to the subject have appeared, in particular papers by RAGNAR FRISCH 2, A. W. JOSEPH 3, and G. J. LIDSTONE 4 whereby the problem of expanding the product-sum or product-integral in what may be termed Tchebychef and Legendre Moments of the two functions may be considered to have been solved. Also certain valuable papers on orthogonal polynomials by A. C. AITKEN 5, G. J. LIDSTONE 6, DUNCAN C. FRASER 7, and L. TRUKSA 8 have a bearing on the subject. — Since this was written a further paper by A. W. JOSEPH has appeared.9 |
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