84 citations · 761 across the 57 of their papers we have counts for
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math.CA2011
Turán type inequalities for Tricomi confluent hypergeometric functions
Árpád Baricz, Mourad E. H. Ismail
Some sharp two-sided Turán type inequalities for parabolic cylinder functions and Tricomi confluent hypergeometric functions are deduced. The proofs are based on integral represent…
math.CA2011★ 24 cited
Turán type inequalities for Krätzel functions
Árpád Baricz, Dragana Jankov, Tibor K. Pogány
Complete monotonicity, Laguerre and Turán type inequalities are established for the so-called Krätzel function defined by $$Z_ρ^ν(u)=\int_0^{\infty}t^{ν-1}e^{-t^ρ-\frac{u}…
math.CA2011★ 15 cited
Turán determinants of Bessel functions
Árpád Baricz, Tibor K. Pogány
In this paper first we survey the Turán type inequalities and related problems for the Bessel functions of the first kind. Then we extend the known higher order Turán type inequali…