| 释义 |
holomorphic, a.|hɒləʊˈmɔːfɪk|
[f. holo- + Gr. µορϕ-ή shape, form + -ic.]
1. Cryst. The same as holohedral or holosymmetrical, esp. as distinguished from hemimorphic.
2. Math. Said of a function which is monogenic, uniform, and continuous.
1880G. S. Carr Synops. Math. Index 886 Holomorphic functions. 1893Forsyth Theory of Functions 15 When a function is called holomorphic without any limitation, the usual implication is that the character is preserved over the whole of the plane which is not at infinity.
So holoˈmorphically adv., in such a way as to be or remain holomorphic (in sense 2); ˈholomorphy, ‘the character of being holomorphic’ (Cent. Dict.).
1957Pacific Jrnl. Math. VII. 812 There exist domains..such that all G-holomorphic functions can be continued G-holomorphically into a larger domain. Ibid. 820 If D is a domain of holomorphy, then the set C..belongs to D. 1963Standring & Shutrick tr. Cartan's Elem. Theory of Analytic Functions ii. 73 For functions of a complex variable, there is an equivalence between holomorphy and analyticity. 1966Mathematical Rev. XXXI. 33/2 A closed holomorphic differential p-form in x, holomorphically varying with y. |