Значення

значень: 2
  1. (без ступенів порівняння)Complex-differentiable on an open set around every point in its domain.

    1998, Robert Friedman, Algebraic Surfaces and Holomorphic Vector Bundles, Springer, page 303, A holomorphic 1-form on X is closed, and so 0=dη₁=df and η₂.

    holomorph

    голоморфныйgolomorfnyj

  2. (без ступенів порівняння)Having holohedral symmetry.

Приклади

речень: 5
  1. Holomorphic functions have several agreeable properties, making them easy to work with.

  2. If a holomorphic function has an infinite sequence of zeroes with an accumulation point, then it is identically zero.

  3. A holomorphic function can be expressed as a convergent power series in a neighborhood of any point in its domain.

  4. If two holomorphic functions with the same domain agree at infinitely many points in a bounded set, then they are identical.

  5. If you can show directly that this function's complex derivatives exist everywhere in its domain, then you can conclude that it's holomorphic.

Русский
За значеннями 1
of a complex function:
Deutsch
За значеннями 1
of a complex function:

Походження

From holo- + -morphic.

From holo- + -morphic.

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