holomorphic function

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holomorphic function

[¦häl·ō¦mȯr·fik ′fəŋk·shən]
(mathematics)
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Now assume that we have constructed holomorphic functions [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.
By the Noetherian property of the ring of holomorphic functions, we can choose finitely many points ['z.
Matos, On Malgrange Theorem for nuclear holomorphic functions in open balls of a Banach space.
Keywords: Holomorphic function, subharmonic function, Hausdorff measure, exceptional sets.
1) define holomorphic functions with respect to t near a movable singularity [t.
k] ([zeta]) are holomorphic functions in U for k [greater than or equal to] n + 1, and
Let H(B) be the class of all holomorphic functions in B and Rf(z) = [[summation].
J, Compact Composition Operators on Spaces of Boundary-regular Holomorphic Functions, Proc.
This representation allows us to construct any minimal surface in the three-dimensional Euclidean space R via two holomorphic functions.
One example of operator is the Rodriguez operator operating on holomorphic functions, this is a generalization of the Rodriguez formula for Laguerre and Jacobi polynomials.
Zampieri takes graduate students through the material in remarkably gentle fashion, first covering complex variables such as Cauchy formulas in polydiscs, Levi forms and the logarithmic supermean of the Taylor radius of holomorphic functions, real structures, including Euclidean spaces, real synthetic spaces (the Frobenius-Darboux theorem), and real/complex structures such as CR manifolds and mappings, real/complex symplectic spaces, iterated commutators (Bloom-Graham normal forms) and separate real analyticity.
theta]](N') the space of holomorphic functions on N0 with exponential growth of order [theta] and of minimal type.