Bernoulli inequality and hypergeometric functions
  Bernoulli type inequalities for functions of logarithmic type are given. These functions include, in particular, Gaussian hypergeometric functions in the zero-balanced case $F(a,b;a+b;x)\,.$ 
Riku Kl\'en, Vesna Manojlovi\'c, Slavko Simi\'c, and Matti Vuorinen
math.CA math.CV