The Hadamard product and related dilations

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Product of Four Hadamard Matrices

We prove that if there exist Hadamard matrices of order 4m, 4n, 4p, and 4q then there exists an Hadamard matrix of order 16mnpq. This improves and extends the known result of Agayan that there exists a Hadamard matrix of order 8mn if there exist Hadamard matrices of order 4m and 4n. Disciplines Physical Sciences and Mathematics Publication Details R. Craigen, Jennifer Seberry and Xian-Mo Zhang,...

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The Product of Four Hadamard Matrices

We prove that if there exist Hadamard matrices of order 4m, 4n, 4p, 4q then there exists an Hadamard matrix of order 16mnpq. This improves and extends the known result of Agayan that there exists an Hadamard matrix of order 8mn if there exist Hadamard matrices of order 4m and 4n.

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The quasi-Hadamard product of certain starlike and convex functions

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ژورنال

عنوان ژورنال: Colloquium Mathematicum

سال: 1984

ISSN: 0010-1354,1730-6302

DOI: 10.4064/cm-48-1-95-102