Results 211 to 220 of about 68,847 (256)
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Lecture Notes in Mathematics, 1994
We will study Caratheodory convergence, which is the convergence theory for domains corresponding to uniform convergence on compact sets for analytic functions, and we will use this convergence to develop Loewner theory. This theory gives, for an injective analytic map f0 on D, a family ft, 0 ≤ t < ∞, of such maps, such that fs(D) ⊂ ft(D) for s ≤ t and
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We will study Caratheodory convergence, which is the convergence theory for domains corresponding to uniform convergence on compact sets for analytic functions, and we will use this convergence to develop Loewner theory. This theory gives, for an injective analytic map f0 on D, a family ft, 0 ≤ t < ∞, of such maps, such that fs(D) ⊂ ft(D) for s ≤ t and
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Hypergeometric functions in the geometric function theory
Applied Mathematics and Computation, 2007This is a survey paper of the authors work in geometric function theory and the role played by (generalized) hypergeometric functions therein. After 3 pages of introductory notations and definitions, the following is covered: section 2 [1 page]: two theorems on an integral operator and its use in transference of (close to) convexity, section 3 [1/2 ...
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Geometric Theory of the Spin‐Weighted Functions
Journal of Mathematical Physics, 1967The spin‐weighted functions introduced recently are shown to be eigenfunctions of the total angular momentum for appropriately defined geometric objects on the sphere, namely the Pensov objects.
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