11 citations · 24 across the 10 of their papers we have counts for
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Conformal mapping of circular triangles & classical function theory
Norbert Steinmetz
In the present paper it is discussed to which extend conformal mappings of special circular triangles, which are thoroughly examined by M. Bonk using analytic and classical special…
Algebraic curves and meromorphic functions Sharing pairs of values
Norbert Steinmetz
The 4IM+1CM problem is determining all pairs (f,g) of meromorphic functions in the complex plane that are not Moebius transformations of each other and share five pairs of complex…
Laplace contour integrals and linear differential equations
Norbert Steinmetz
The purpose of this paper is to determine the main properties of Laplace contour integrals $$Λ(z)=\frac1{2πi}\int_\CCϕ_L(t)e^{-zt}\,dt,$$ that solve linear differential equations $…
First order algebraic differential equations of genus zero
Norbert Steinmetz
We utilise recent results about the transcendental solutions to Riccati differential equations to provide a comprehensive description of the nature of the transcendental solutions…
An old new class of meromorphic functions
Norbert Steinmetz
Based on the so-called re-scaling method, we will give a detailed description of the solutions to the Hamiltonian system (\ref{Hsystem}) below, which was discovered only recently b…
A unified approach to the Painleve Transcendents
Norbert Steinmetz
We utilise a recent approach via the so-called re-scaling method to derive a unified and comprehensive theory of the solutions to Painleve's differential equations (I), (II) and (I…