5 citations · 13 across the 18 of their papers we have counts for
19 papers
New elementary formulas for any derivative of any rational function
Shahar Nevo, Irina Raichik
In this paper we introduce elementary and completely explicit formulas for the derivative of any order of any function of the type 1/p, where p is a polynomial with known zeros.
Estimates for probabilities of independent events and infinite series
Jürgen Grahl, Shahar Nevo
This paper deals with (finite or infinite) sequences of arbitrary independent events in some probability space. We find sharp lower bounds for the probability of a union of such ev…
Differential inequalities and a Marty-type criterion for quasi-normality
Jürgen Grahl, Tomer Manket, Shahar Nevo
We show that the family of all holomorphic functions in a domain satisfying $$\frac{|f^{(k)}|}{1+|f|}(z)\le C \qquad \mbox{ for all } z\in D$$ (where is a natural numbe…
Quasi-normality induced by differential inequalities
Jürgen Grahl, Shahar Nevo
We show that the family of all meromorphic functions in a domain satisfying $$\frac{|f^{(k)}|}{1+|f|}(z)\ge C \qquad \mbox{ for all } z\in D$$ (where is a…
On the growth of real functions and their derivatives
Jürgen Grahl, Shahar Nevo
We show that for any -times continuously differentiable function , any integer and any the inequality $$\liminf_{x\to\inft…
Differential inequalities and quasi-normal families
Roi Bar, Jürgen Grahl, Shahar Nevo
We show that a family of meromorphic functions in a domain satisfying $$\frac{|f^{(k)}|}{1+|f^{(j)}|^α}(z)\ge C \qquad \mbox{for all} z\in D \mbox{and all} f\in {\ca…