What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Algebra
- Complex number
Richard Beals mainly focuses on Mathematical physics, Mathematical analysis, Scattering, Inverse scattering problem and Partial differential equation.
His Mathematical physics study incorporates themes from Hamiltonian mechanics, Hamilton–Jacobi equation, Heisenberg group, Heat equation and Lie algebra.
His study deals with a combination of Mathematical analysis and Value.
His Scattering study integrates concerns from other disciplines, such as Inverse, Closed-form expression, Special case, Real line and Peakon.
His Inverse scattering problem study deals with the bigger picture of Inverse problem.
His Partial differential equation study combines topics from a wide range of disciplines, such as Geometry, Surface and Fundamental Resolution Equation.
His most cited work include:
- Scattering and inverse scattering for first order systems (446 citations)
- Multipeakons and the Classical Moment Problem (248 citations)
- Multi-peakons and a theorem of Stieltjes (246 citations)
What are the main themes of his work throughout his whole career to date?
His scientific interests lie mostly in Mathematical analysis, Pure mathematics, Mathematical physics, Inverse scattering problem and Scattering.
His work investigates the relationship between Mathematical analysis and topics such as Degenerate energy levels that intersect with problems in Elliptic operator.
His work deals with themes such as Function and Elliptic function, which intersect with Pure mathematics.
The Mathematical physics study combines topics in areas such as Inverse and Sine.
His Inverse scattering problem research incorporates themes from Partial differential equation and Nonlinear system.
His study in the field of Scattering theory is also linked to topics like Action-angle coordinates.
He most often published in these fields:
- Mathematical analysis (43.79%)
- Pure mathematics (34.64%)
- Mathematical physics (20.92%)
What were the highlights of his more recent work (between 2014-2020)?
- Pure mathematics (34.64%)
- Orthogonal polynomials (5.88%)
- Jacobi polynomials (5.23%)
In recent papers he was focusing on the following fields of study:
Richard Beals mainly investigates Pure mathematics, Orthogonal polynomials, Jacobi polynomials, Classical orthogonal polynomials and Gegenbauer polynomials.
His Pure mathematics research is multidisciplinary, relying on both Elliptic function, Conformal map and Fourier transform.
His Elliptic function study combines topics in areas such as Connection, Jacobi elliptic functions, Upper half-plane and Trigonometric functions.
His Fourier transform study deals with Entire function intersecting with Bounded function and Boundary.
The various areas that Richard Beals examines in his Orthogonal polynomials study include Confluent hypergeometric function, Special functions, Algebra and Generalized hypergeometric function.
Richard Beals interconnects Wilson polynomials and Discrete orthogonal polynomials in the investigation of issues within Gegenbauer polynomials.
Between 2014 and 2020, his most popular works were:
- Special Functions and Orthogonal Polynomials (27 citations)
- Constructing solutions to two-way diffusion problems (1 citations)
- The Schwarzian derivative (1 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Complex number
His main research concerns Pure mathematics, Hypergeometric function, Convolution, Wiener–Hopf method and Fourier transform.
His Pure mathematics research incorporates themes from Line, Mathematical problem and Assertion.
His studies deal with areas such as Special functions, Askey–Wilson polynomials and Orthogonal polynomials as well as Hypergeometric function.
His research ties Of the form and Convolution together.
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