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)

A list of publications is available from the institutional repository, SHURA

Fenton, P.C.; Lingham, E.F. The size of Wiman-Valiron discs for subharmonic functions of a certain type. Complex Var. Elliptic Equ. 61, No. 4, 456-468 (2016).

Langley, J.K.; Lingham, E.F. On the derivatives of composite functions. N. Z. J. Math. 36, 57-61 (2007).

Clifford, Eleanor F. Two new criteria for normal families. Comput. Methods Funct. Theory 5, No. 1, 65-76 (2005).

Clifford, E.F. Normal families and value distribution in connection with composite functions. J. Math. Anal. Appl. 312, No. 1, 195-204 (2005).

Clifford, E.F. Extending two fixpoint theorems of Langley and Zheng. Result. Math. 47, No. 1-2, 45-54 (2005).

Clifford, Eleanor F. Extending a theorem of Bergweiler and Langley concerning non-vanishing derivatives. Comput. Methods Funct. Theory 4, No. 2, 327-339 (2004).

Clifford, Eleanor; Seda, Anthony Karel Uniqueness of the fixed points of single-step operators determined by Belnap’s four-valued logic. J. Electr. Eng. 51, 12/s, 54-58 (2000)

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