30Dxx Entire and meromorphic functions
This subtopic studies entire and meromorphic functions, focusing on growth, value distribution, and the behavior of singularities and poles.
Specific topics
30D05 Functional equations in the complex domain
Overview
30D05 studies functional equations in the complex domain in entire and meromorphic functions. It studies entire and meromorphic functions, their singularities, growth, and value-distribution properties.
Related Wikipedia Page
Entire And Meromorphic Functions (Wikipedia)
Useful Links
Key Ideas
- Canonical formulations and representative examples for functional equations in the complex domain
- How structural, local, and computational viewpoints interact in the subject
- Standard theorem patterns and invariants used in current research practice
Typical Uses
Used in complex analysis and value-distribution theory.
Applications
- Growth and order
- Singularity theory
- Value distribution and Nevanlinna theory
References
Recommended Textbooks
30D10 Representations of entire functions
Overview
30D10 studies representations of entire functions in entire and meromorphic functions. It studies entire and meromorphic functions, their singularities, growth, and value-distribution properties.
Related Wikipedia Page
Entire And Meromorphic Functions (Wikipedia)
Useful Links
Key Ideas
- Canonical formulations and representative examples for representations of entire functions
- How structural, local, and computational viewpoints interact in the subject
- Standard theorem patterns and invariants used in current research practice
Typical Uses
Used in complex analysis and value-distribution theory.
Applications
- Growth and order
- Singularity theory
- Value distribution and Nevanlinna theory
References
Recommended Textbooks
30D15 Special classes of entire functions and growth estimates
Overview
30D15 studies special classes of entire functions and growth estimates in entire and meromorphic functions. It studies entire and meromorphic functions, their singularities, growth, and value-distribution properties.
Related Wikipedia Page
Entire And Meromorphic Functions (Wikipedia)
Useful Links
Key Ideas
- Canonical formulations and representative examples for special classes of entire functions and growth estimates
- How structural, local, and computational viewpoints interact in the subject
- Standard theorem patterns and invariants used in current research practice
Typical Uses
Used in complex analysis and value-distribution theory.
Applications
- Growth and order
- Singularity theory
- Value distribution and Nevanlinna theory
References
Recommended Textbooks
30D20 Entire functions of one complex variable, growth and distribution of values
Overview
30D20 studies entire functions of one complex variable, growth and distribution of values in entire and meromorphic functions. It studies entire and meromorphic functions, their singularities, growth, and value-distribution properties.
Related Wikipedia Page
Entire And Meromorphic Functions (Wikipedia)
Useful Links
Key Ideas
- Canonical formulations and representative examples for entire functions of one complex variable, growth and distribution of values
- How structural, local, and computational viewpoints interact in the subject
- Standard theorem patterns and invariants used in current research practice
Typical Uses
Used in complex analysis and value-distribution theory.
Applications
- Growth and order
- Singularity theory
- Value distribution and Nevanlinna theory
References
Recommended Textbooks
30D30 Meromorphic functions of one complex variable, general theory
Overview
30D30 studies meromorphic functions of one complex variable, general theory in entire and meromorphic functions. It studies entire and meromorphic functions, their singularities, growth, and value-distribution properties.
Related Wikipedia Page
Entire And Meromorphic Functions (Wikipedia)
Useful Links
Key Ideas
- Canonical formulations and representative examples for meromorphic functions of one complex variable, general theory
- How structural, local, and computational viewpoints interact in the subject
- Standard theorem patterns and invariants used in current research practice
Typical Uses
Used in complex analysis and value-distribution theory.
Applications
- Growth and order
- Singularity theory
- Value distribution and Nevanlinna theory
References
Recommended Textbooks
30D35 Value distribution of meromorphic functions; Nevanlinna theory
Overview
30D35 studies value distribution of meromorphic functions; nevanlinna theory in entire and meromorphic functions. It studies entire and meromorphic functions, their singularities, growth, and value-distribution properties.
Related Wikipedia Page
Entire And Meromorphic Functions (Wikipedia)
Useful Links
Key Ideas
- Canonical formulations and representative examples for value distribution of meromorphic functions; nevanlinna theory
- How structural, local, and computational viewpoints interact in the subject
- Standard theorem patterns and invariants used in current research practice
Typical Uses
Used in complex analysis and value-distribution theory.
Applications
- Growth and order
- Singularity theory
- Value distribution and Nevanlinna theory
References
Recommended Textbooks
30D40 Cluster sets, prime ends, boundary behavior
Overview
30D40 studies cluster sets, prime ends, boundary behavior in entire and meromorphic functions. It studies entire and meromorphic functions, their singularities, growth, and value-distribution properties.
Related Wikipedia Page
Entire And Meromorphic Functions (Wikipedia)
Useful Links
Key Ideas
- Canonical formulations and representative examples for cluster sets, prime ends, boundary behavior
- How structural, local, and computational viewpoints interact in the subject
- Standard theorem patterns and invariants used in current research practice
Typical Uses
Used in complex analysis and value-distribution theory.
Applications
- Growth and order
- Singularity theory
- Value distribution and Nevanlinna theory
References
Recommended Textbooks
30D45 Normal functions of one complex variable, normal families
Overview
30D45 studies normal functions of one complex variable, normal families in entire and meromorphic functions. It studies entire and meromorphic functions, their singularities, growth, and value-distribution properties.
Related Wikipedia Page
Entire And Meromorphic Functions (Wikipedia)
Useful Links
Key Ideas
- Canonical formulations and representative examples for normal functions of one complex variable, normal families
- How structural, local, and computational viewpoints interact in the subject
- Standard theorem patterns and invariants used in current research practice
Typical Uses
Used in complex analysis and value-distribution theory.
Applications
- Growth and order
- Singularity theory
- Value distribution and Nevanlinna theory
References
Recommended Textbooks
30D60 Quasi-analytic and other classes of functions of one complex variable
Overview
30D60 studies quasi-analytic and other classes of functions of one complex variable in entire and meromorphic functions. It studies entire and meromorphic functions, their singularities, growth, and value-distribution properties.
Related Wikipedia Page
Entire And Meromorphic Functions (Wikipedia)
Useful Links
Key Ideas
- Canonical formulations and representative examples for quasi-analytic and other classes of functions of one complex variable
- How structural, local, and computational viewpoints interact in the subject
- Standard theorem patterns and invariants used in current research practice
Typical Uses
Used in complex analysis and value-distribution theory.
Applications
- Growth and order
- Singularity theory
- Value distribution and Nevanlinna theory
References
Recommended Textbooks