R. Halburd

Applied Mathematics · 2000–2009

A researcher in the Science corpus: 7 papers; trusts 7 researchers and is trusted by 23 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 19 citations into it; #742 of 7,620 by trust here, #675 by citations
• Geometry and Topology — 9 citations into it; #926 of 7,422 by trust here, #749 by citations

Whom R. Halburd trusts overall

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

1. R. Korhonen
2. Mark J. Ablowitz
3. Y. Chiang
4. Shaoji Feng
5. D. C. Barnett
6. Zhuan Ye
7. Peter A. Clarkson
8. I. Laine
9. M. Ru
10. J. Heittokangas

Who trusts R. Halburd overall

1. R. Korhonen
2. X. Zheng
3. Y. Chiang
4. Zong-Xuan Chen
5. I. Laine
6. J. Heittokangas
7. Kai Liu
8. Shaoji Feng
9. D. C. Barnett
10. Ting-Bin Cao

Papers from R. Halburd's perspective

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

1. Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations
2. Zeros of Solutions of a Functional Equation
3. PAINLEVÉ DIFFERENTIAL EQUATIONS IN THE COMPLEX PLANE (de Gruyter Studies in Mathematics 28)
4. Existence of finite-order meromorphic solutions as a detector of integrability in difference equations
5. On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane
6. On Barnes' Multiple Zeta and Gamma Functions
7. Nevanlinna theory for the $q$-difference operator and meromorphic solutions of $q$-difference equations (Proceedings of the Royal Society of Edinburgh. Section A Mathematics)
8. On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions
9. Meromorphic solutions of generalized Schröder equations
10. Complex Difference Equations of Malmquist Type

Their papers

• Holomorphic curves with shift-invariant hyperplane preimages (2009) — 242 citations
• Nevanlinna theory for the $q$-difference operator and meromorphic solutions of $q$-difference equations (2007) — 136 citations
• Existence of finite-order meromorphic solutions as a detector of integrability in difference equations (2006) — 61 citations
• Finite‐order meromorphic solutions and the discrete Painlevé equations (2005) — 204 citations
• Nevanlinna theory for the difference operator (2005) — 447 citations
• Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations (2005) — 609 citations
• On the extension of the Painlevé property to difference equations (2000) — 235 citations