5 citations · 13 across the 18 of their papers we have counts for
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math.CV2013
Differential inequalities and quasi-normal families
Roi Bar, Jürgen Grahl, Shahar Nevo
We show that a family of meromorphic functions in a domain satisfying $$\frac{|f^{(k)}|}{1+|f^{(j)}|^α}(z)\ge C \qquad \mbox{for all} z\in D \mbox{and all} f\in {\ca…
math.CV2013
An extension of one direction in Marty's normality criterion
J. Grahl, S. Nevo
We prove an extension of one direction in Marty's theorem where the spherical derivative is replaced by a more general quantity involving higher derivatives.
math.HO2013
Some counterexamples on the behaviour of real-valued functions and their derivatives
Juergen Grahl, Shahar Nevo
We discuss some surprising phenomena from basic calculus related to oscillating functions and to the theorem on the differentiability of inverse functions. Among other things, we s…