Dr Eleanor F Lingham

Eleanor’s main research area is complex analysis. One topic that she is particularly interested in is function theory, which is the study of the properties of different types of functions.

Other topics in complex analysis that she is interested in are complex dynamics, composite functions, Nevanlinna theory and normal families.

Eleanor is currently co-authoring a book entitled ‘Research Problems in Function Theory’ with Prof. Walter K. Hayman. This project involves researching the development of a list of over 500 complex analysis problems that range over nine areas of complex analysis.

Eleanor is a Fellow of the Higher Education Academy and a member of the London Mathematical Society.

Specialist areas of interest

• Complex analysis
• Theory of analytic and meromorphic functions
• Nevanlinna theory
• Normal families
• Composite functions

Modules

Foundation Mathematics 2 (Level 3) Eng Foundation Year (Module Leader)
Mathematical Analysis  (Level 5) BSc Maths
Mathematical Methods (Level 4) BSc Maths
Placements Tutor

Eleanor is currently researching Hayman’s List of 'Research Problems in Function Theory.' She is co-authoring a new edition of the book with Professor Walter K Hayman (Imperial College)

Journal articles

Fenton, P.C., & Lingham, E. (2016). The size of Wiman–Valiron discs for subharmonic functions of a certain type. Complex Variables and Elliptic Equations, 61 (4), 456-468. http://doi.org/10.1080/17476933.2015.1095186

Lingham, E.F., & Baughan, A. (2015). A proactive collaborative workshop approach to supporting student preparation for graduate numerical reasoning tests. MSOR Connections, 14 (1), 39. http://doi.org/10.21100/msor.v14i1.249

Lingham, E., & Langley, J.K. (2007). On the derivatives of composite functions. New Zealand Journal of Mathematics, 36, 57-61.

Clifford, E.F. (2005). Normal families and value distribution in connection with composite functions. Journal of Mathematical Analysis and Applications, 312 (1), 195-204. http://doi.org/10.1016/j.jmaa.2005.03.045

Clifford, E.F. (2005). Two New Criteria for Normal Families. Computational Methods and Function Theory, 5 (1), 65-76. http://doi.org/10.1007/bf03321086

Clifford, E.F. (2005). Extending a Theorem of Bergweiler and Langley Concerning Non-Vanishing Derivatives. Computational Methods and Function Theory, 4 (2), 327-339. http://doi.org/10.1007/bf03321073

Clifford, E.F. (2005). Extending Two Fixpoint Theorems of Langley and Zheng. Results in Mathematics, 47 (1-2), 45-54. http://doi.org/10.1007/bf03323011

Lingham, E., & Seda, A.K. (2000). Uniqueness of fixpoints of single-step operators determined by Belnap's four-valued logic. Journal of Electrical Engineering, 51 (12/s).

• Invited reviewer for Ireland’s Delta awards (Disciplinary Excellence in Learning, Teaching and Assessment)
• LMS Representative at Sheffield Hallam