Functions of One Complex Variable I

Conway, J. B. (1978). Functions of One Complex Variable I. Springer.

Type

Book

Intellectual base

Review or monograph

Year

1978

DOI

10.1007/978-1-4612-6313-5

ISBN

9780387942346

DOI registrant

Springer Nature

Link

https://doi.org/10.1007/978-1-4612-6313-5

Cited by

6 citations across 6 artifacts.

Domain-specific

• Harmonic conjugate
  • Away from critical points, level curves of (u) and (v) meet orthogonally because their gradients are perpendicular and have equal magnitude.
• Lacunary value
  • … and image, candidate complex value, nonmembership proof, holomorphic meromorphic or general function class, singularities and extension conditions, Picard or related bound and examples are explicit. to An applied instance preserves the invariant under changed notation, scale, dataset, jurisdiction, or implementation..
• Normal convergence
  • … condition, uniform Cauchy control and absolute pointwise consequence, rearrangement invariance, completeness and continuity or integration consequences and local-on-compact variant are explicit. to An applied instance preserves the invariant under changed notation, scale, dataset, jurisdiction, or implementation..
• Residue (complex analysis)
  • … domain and function, isolated singularity, Laurent annulus and coefficient convention, contour orientation, residue value, computation method and relation to contour integrals are explicit. to An applied instance preserves the same invariant under changed scale, notation, dataset, jurisdiction, or implementation..
• Root Test
  • Applied to \(\sum c_n(z-z_0)^n\), it yields the Cauchy–Hadamard radius \(R^{-1}=\limsup |c_n|^{1/n}\), with extended-value conventions.
• Subharmonic function
  • … that the domain and dimension, upper semicontinuity, allowed balls or spheres, local integrability and mean-value or comparison inequality are explicit under the selected convention. to An applied instance preserves the same invariant under a changed scale, notation, jurisdiction, dataset, or implementation..

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Registry ID ref:9295ff23f37b · see in the full table