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Majorization-Subordination Theorems for Locally Univalent Functions. III

✍ Scribed by Douglas Michael Campbell

Book ID
125686119
Publisher
American Mathematical Society
Year
1974
Tongue
English
Weight
584 KB
Volume
198
Category
Article
ISSN
0002-9947

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Ann. 159, 81᎐93 asserts that if the Jacobian matrix of a differentiable function from a closed rectangle K in R n into R n is a P-matrix at each point of K, then f is one-to-one on K. In this paper, by introducing the concepts of H-differentiabil-Ž . ity and H-differential of a function as a set of