13 citations · 14 across the 13 of their papers we have counts for
13 papers
Asymptotic values, deficiencies and Bank-Laine functions
J. K. Langley
Some results are proved concerning asymptotic and deficient values in connection with the second order linear differential equation , in which the coefficient is…
Non-real zeros of derivatives in the unit disc
James Langley
The main result establishes an estimate for the growth of a real meromorphic function on the unit disc such that: (i) at least one of and has finitely many poles…
Non-real zeros of derivatives
J. K. Langley
A number of results are proved concerning non-real zeros of derivatives of real meromorphic functions. In particular, the paper supersedes the previous arXiv submission "Non-real z…
Bank-Laine functions with real zeros
J. K. Langley
Every real Bank-Laine function of finite order, whose zeros are all real but neither bounded above nor bounded below, either has an explicit representation in terms of trigonometri…
Transcendental singularities for a meromorphic function with logarithmic derivative of finite lower order
J. K. Langley
In this note it is shown that two key results on transcendental singularities for meromorphic functions of finite lower order have refinements which hold under the weaker hypothesi…
Linear differential polynomials in zero-free meromorphic functions
J. K. Langley
The paper determines all meromorphic functions with finitely many zeros in the plane having the property that a linear differential polynomial in the function, of order at least 3…