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- Steven G. Krantz

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
42
Citations
10,954
485
World Ranking
1194
National Ranking
548

2013 - Fellow of the American Mathematical Society

- Mathematical analysis
- Geometry
- Algebra

His primary scientific interests are in Mathematical analysis, Pure mathematics, Holomorphic function, Discrete mathematics and Several complex variables. His study looks at the intersection of Mathematical analysis and topics like Homogeneous space with Type. His studies deal with areas such as Domain and Algebra as well as Pure mathematics.

His research investigates the link between Holomorphic function and topics such as Complex analysis that cross with problems in Complex-valued function, Edge-of-the-wedge theorem, Analyticity of holomorphic functions, Cauchy's integral formula and Identity theorem. Steven G. Krantz has researched Discrete mathematics in several fields, including Hypersurface, Property, Cauchy's integral theorem and Signed distance function. His biological study spans a wide range of topics, including Differential geometry and Cousin problems.

- Function theory of several complex variables (1058 citations)
- A Primer of Real Analytic Functions (533 citations)
- The Implicit Function Theorem (486 citations)

Pure mathematics, Mathematical analysis, Holomorphic function, Discrete mathematics and Automorphism are his primary areas of study. The Pure mathematics study combines topics in areas such as Bounded function and Boundary. Bounded function is closely attributed to Domain in his research.

His research on Mathematical analysis focuses in particular on Unit sphere. He is interested in Identity theorem, which is a branch of Holomorphic function. In the subject of general Automorphism, his work in Outer automorphism group and Inner automorphism is often linked to Complex space, thereby combining diverse domains of study.

- Pure mathematics (33.33%)
- Mathematical analysis (23.91%)
- Holomorphic function (15.22%)

- Pure mathematics (33.33%)
- Mathematical analysis (23.91%)
- Holomorphic function (15.22%)

The scientist’s investigation covers issues in Pure mathematics, Mathematical analysis, Holomorphic function, Boundary and Applied mathematics. The study incorporates disciplines such as Bounded function and Projection in addition to Pure mathematics. Steven G. Krantz works in the field of Mathematical analysis, focusing on Fourier analysis in particular.

His Holomorphic function research integrates issues from Harmonic function, Interval, Order and Type. His work carried out in the field of Applied mathematics brings together such families of science as Partial differential equation and Boundary value problem. His Several complex variables study incorporates themes from Differential geometry and Variable.

- Level of underreporting including underdiagnosis before the first peak of COVID-19 in various countries: Preliminary retrospective results based on wavelets and deterministic modeling. (57 citations)
- Model-based retrospective estimates for COVID-19 or coronavirus in India: continued efforts required to contain the virus spread (13 citations)
- True epidemic growth construction through harmonic analysis (13 citations)

- Mathematical analysis
- Geometry
- Algebra

Steven G. Krantz focuses on Pure mathematics, Discrete mathematics, Domain, Severe acute respiratory syndrome coronavirus 2 and 2019-20 coronavirus outbreak. His study in the field of Holomorphic function and Bergman kernel also crosses realms of Geometric analysis and Index. Steven G. Krantz interconnects Boundary, Bounded function, Interval and Domain in the investigation of issues within Holomorphic function.

His Boundary research is multidisciplinary, incorporating elements of Several complex variables, Fourier analysis, Differential geometry and Hardy space. His Discrete mathematics study combines topics in areas such as Proof theory, Axiomatic system, Internal set theory, Hartogs' extension theorem and Equinumerosity. His Domain research incorporates elements of Completeness, Order, Omega and Bergman space.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Function theory of several complex variables

Steven G. Krantz.

**(1982)**

1961 Citations

A Primer of Real Analytic Functions

Steven G. Krantz;Harold R. Parks.

**(1992)**

1059 Citations

The Implicit Function Theorem

Steven George Krantz;Harold R. Parks.

**(2002)**

829 Citations

Handbook of Complex Variables

Steven G. Krantz.

**(1999)**

425 Citations

Function Theory of One Complex Variable

Robert Everist Greene;Steven G. Krantz.

**(1997)**

420 Citations

Geometric Integration Theory

Steven G. Krantz;Harold R. Parks.

**(2008)**

318 Citations

How to Teach Mathematics

Steven G. Krantz.

**(1993)**

274 Citations

Complex Analysis : The Geometric Viewpoint

Steven G. Krantz.

**(1990)**

243 Citations

Rigidity of holomorphic mappings and a new Schwarz lemma at the boundary

Daniel M. Burns;Steven G. Krantz;Steven G. Krantz.

Journal of the American Mathematical Society **(1994)**

212 Citations

The geometry of domains in space

Steven G. Krantz;Harold R. Parks.

**(1999)**

210 Citations

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