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

Link

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

Cited by

3 citations across 3 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.
• 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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