Graziano Gentili

Applied Mathematics · 2006–2013

A researcher in the Science corpus: 14 papers; trusts 7 researchers and is trusted by 15 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 36 citations into it; #428 of 7,620 by trust here, #308 by citations
• Geometry and Topology — 20 citations into it; #671 of 7,422 by trust here, #615 by citations
• Algebra and Number Theory — 19 citations into it; #169 of 2,864 by trust here, #154 by citations
• Mathematical Physics — 11 citations into it

Whom Graziano Gentili trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Daniele C. Struppa
2. Fabrizio Colombo
3. Caterina Stoppato
4. Irene Sabadini
5. M. Shapiro
6. David A. Cox
7. F. Sommen
8. John C. Baez
9. Igor Dolgachev
10. Kit Ian Kou

Who trusts Graziano Gentili overall

1. Caterina Stoppato
2. Fabrizio Colombo
3. Riccardo Ghiloni
4. Daniele C. Struppa
5. Irene Sabadini
6. A. Perotti
7. S. Salamon
8. Daniel Alpay
9. J. González‐Cervantes
10. F. Sommen

Papers from Graziano Gentili's perspective

Ordered by how strongly the researchers Graziano Gentili trusts endorse each paper. Same corpus, a different order for every researcher.

1. A Cauchy kernel for slice regular functions
2. Analysis of Dirac Systems and Computational Algebra
3. Zeros of regular functions and polynomials of a quaternionic variable
4. Regular Moebius transformations of the space of quaternions
5. A new series expansion for slice regular functions
6. The open mapping theorem for regular quaternionic functions
7. Extension results for slice regular functions of a quaternionic variable
8. Generalizations of Fueter’s theorem
9. Slice monogenic functions
10. On Some Properties of the Quaternionic Functional Calculus

Their papers

• Non Commutative Functional Calculus: Bounded Operators (2007) — 48 citations
• Regular Functions of a Quaternionic Variable (2013) — 235 citations
• Twistor transforms of quaternionic functions and orthogonal complex structures (2012) — 66 citations
• Regular Functions on the Space of Cayley Numbers (2010) — 94 citations
• Power series and analyticity over the quaternions (2009) — 66 citations
• Extension results for slice regular functions of a quaternionic variable (2009) — 141 citations
• A Cauchy kernel for slice regular functions (2009) — 79 citations
• The fundamental theorem of algebra for Hamilton and Cayley numbers (2008) — 51 citations
• Zeros of regular functions and polynomials of a quaternionic variable (2008) — 138 citations
• On the Multiplicity of Zeroes of Polynomials with Quaternionic Coefficients (2008) — 82 citations
• M\"obius transformations and the Poincar\'e distance in the quaternionic setting (2008) — 71 citations
• The open mapping theorem for regular quaternionic functions (2008) — 48 citations
• A New Theory of Regular Functions of a Quaternionic Variable (2007) — 473 citations
• A new approach to Cullen-regular functions of a quaternionic variable (2006) — 235 citations