References
Pólya, G., u.G. Szegö: Aufgaben und Lehrsätze aus der Analysis I, S. 94. Berlin-Göttingen-Heidelberg: Springer 1954.
Haruki, H.: On Ivory's theorem. Mathematica Japonicae1, 151 (1949).
— On the functional equations|f(x)+iy)|=|f(x)+f(iy)| and|f(x+iy)|=|f(x)-f(iy)| and on Ivory's theorem. Canadian Mathematical Bulletin9, 473–480 (1966).
— On certain functional equations connected with two invariant properties under mapping from thez-plane into thew-plane. Glasnik Mat.-Fiz. Astr. Društvo Mat. Fiz. Hrvatske2 (2), 65–71 (1967).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Haruki, H. On parallelogram functional equations. Math Z 104, 358–363 (1968). https://doi.org/10.1007/BF01110427
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01110427