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- Ryu Sasaki

Mathematics

Japan

2023

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
49
Citations
7,285
194
World Ranking
854
National Ranking
10

2023 - Research.com Mathematics in Japan Leader Award

2022 - Research.com Mathematics in Japan Leader Award

- Quantum mechanics
- Algebra
- Mathematical analysis

Ryu Sasaki mostly deals with Pure mathematics, Quantum mechanics, Mathematical physics, Orthogonal polynomials and Laguerre polynomials. The various areas that Ryu Sasaki examines in his Pure mathematics study include Simple and Gravitational singularity. His Mathematical physics study integrates concerns from other disciplines, such as Quantum, Creation and annihilation operators and Wave function.

His studies in Quantum integrate themes in fields like Supersymmetry, Conserved quantity and Integrable system. Ryu Sasaki works mostly in the field of Orthogonal polynomials, limiting it down to concerns involving Eigenfunction and, occasionally, Hamiltonian. His Laguerre polynomials research integrates issues from Linear subspace, Hermite polynomials, Factorization, Invariant and Jacobi polynomials.

- Affine Toda field theory and exact S-matrices (276 citations)
- Infinitely many shape invariant potentials and new orthogonal polynomials (259 citations)
- Soliton equations and pseudospherical surfaces (174 citations)

His primary scientific interests are in Mathematical physics, Pure mathematics, Quantum mechanics, Orthogonal polynomials and Quantum. His Mathematical physics research includes themes of Eigenvalues and eigenvectors and Affine transformation. His study in Pure mathematics is interdisciplinary in nature, drawing from both Simple, Gravitational singularity and Virtual state.

In his research on the topic of Orthogonal polynomials, Askey scheme is strongly related with Hypergeometric distribution. His Quantum study combines topics in areas such as Supersymmetry, Lax pair and Eigenfunction. He combines subjects such as Laguerre polynomials and Invariant, Algebra with his study of Jacobi polynomials.

- Mathematical physics (47.04%)
- Pure mathematics (30.43%)
- Quantum mechanics (23.32%)

- Pure mathematics (30.43%)
- Orthogonal polynomials (21.34%)
- Laguerre polynomials (17.39%)

His primary areas of study are Pure mathematics, Orthogonal polynomials, Laguerre polynomials, Eigenfunction and Jacobi polynomials. His Pure mathematics research includes elements of Eigenvalues and eigenvectors, Mathematical analysis and Virtual state. Classical orthogonal polynomials and Wilson polynomials are the core of his Orthogonal polynomials study.

His Laguerre polynomials study deals with Wave function intersecting with Simple and Mathematical physics. His Eigenfunction research is multidisciplinary, incorporating elements of Quantum and Conjecture. His Jacobi polynomials research incorporates themes from Gravitational singularity, Polynomial, Singularity and Differential equation.

- Krein–Adler transformations for shape-invariant potentials and pseudo virtual states (65 citations)
- Multi-indexed Wilson and Askey-Wilson polynomials (50 citations)
- Extensions of solvable potentials with finitely many discrete eigenstates (45 citations)

- Quantum mechanics
- Algebra
- Mathematical analysis

His main research concerns Pure mathematics, Laguerre polynomials, Quantum, Orthogonal polynomials and Virtual state. His Pure mathematics research is multidisciplinary, incorporating perspectives in Eigenvalues and eigenvectors and Eigenfunction. His research in Laguerre polynomials intersects with topics in Wave function and Mathematical physics.

His studies examine the connections between Quantum and genetics, as well as such issues in Schrödinger equation, with regards to Supersymmetry, Bound state, Range and Norm. His study in Jacobi polynomials, Wilson polynomials, Askey–Wilson polynomials and Discrete orthogonal polynomials is carried out as part of his studies in Orthogonal polynomials. The study incorporates disciplines such as Polynomial and Classical orthogonal polynomials in addition to Jacobi polynomials.

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.

Affine Toda field theory and exact S-matrices

H.W. Braden;E. Corrigan;P.E. Dorey;R. Sasaki.

Nuclear Physics **(1990)**

434 Citations

Affine Toda field theory and exact S-matrices

H.W. Braden;E. Corrigan;P.E. Dorey;R. Sasaki.

Nuclear Physics **(1990)**

434 Citations

Infinitely many shape invariant potentials and new orthogonal polynomials

Satoru Odake;Ryu Sasaki.

Physics Letters B **(2009)**

399 Citations

Infinitely many shape invariant potentials and new orthogonal polynomials

Satoru Odake;Ryu Sasaki.

Physics Letters B **(2009)**

399 Citations

Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal polynomials

Satoru Odake;Ryu Sasaki.

Physics Letters B **(2011)**

270 Citations

Soliton equations and pseudospherical surfaces

R. Sasaki.

Nuclear Physics **(1979)**

270 Citations

Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal polynomials

Satoru Odake;Ryu Sasaki.

Physics Letters B **(2011)**

270 Citations

Soliton equations and pseudospherical surfaces

R. Sasaki.

Nuclear Physics **(1979)**

270 Citations

Another set of infinitely many exceptional (X_{ll}) Laguerre polynomials

Satoru Odake;Ryu Sasaki.

Physics Letters B **(2010)**

257 Citations

Another set of infinitely many exceptional (X_{ll}) Laguerre polynomials

Satoru Odake;Ryu Sasaki.

Physics Letters B **(2010)**

257 Citations

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