When Does f-1= 1/f?

Equations concerning functions satisfying f-1=1/f are presented. Cheng et al focus on equations whose domains are more general subsets of the real line R, or of the complex plane C.

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Published in:The American mathematical monthly 1998-10, Vol.105 (8), p.704-717
Main Authors: Cheng, R., Dasgupta, A., Ebanks, B. R., Kinch, L. F., Larson, L. M., McFadden, R. B.
Format: Article
Language:English
Subjects:
Analytic functions
Calculus
College Mathematics
Connected regions
Entire functions
Geometric planes
Logarithms
Mathematical functions
Mathematics
Roots of functions
Simply connected regions
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description Equations concerning functions satisfying f-1=1/f are presented. Cheng et al focus on equations whose domains are more general subsets of the real line R, or of the complex plane C.
doi_str_mv 10.1080/00029890.1998.12004952
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source JSTOR Archival Journals and Primary Sources Collection; Social Science Premium Collection; Taylor and Francis:Jisc Collections:Taylor and Francis Read and Publish Agreement 2024-2025:Science and Technology Collection (Reading list); Education Collection
subjects Analytic functions
Calculus
College Mathematics
Connected regions
Entire functions
Geometric planes
Logarithms
Mathematical functions
Mathematics
Roots of functions
Simply connected regions
title When Does f-1= 1/f?
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