A note on Turán type and mean inequalities for the Kummer function

By Roger W. Barnard, Michael B. Gordy, Kendall C. Richards. 2009

47 citations recorded by the source corpus.

Subfields: Applied Mathematics, Finance

View Paper: https://www.semanticscholar.org/paper/8fe9660c057c6ed16529e2773facba3666fdf239

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Javier Segura
2. Sergei M. Sitnik
3. Dmitrii Karp
4. Diego Ruiz-Antolín

In Finance

1. Sergei M. Sitnik
2. Dmitrii Karp

Citations in the corpus

• Log-convexity and log-concavity of hypergeometric-like functions (2009, methodology): “Remark 3. Theorem 4 a) and b) for integer � and b = a+� recovers [ BGR , Theorem 1,Corrolary 2]. The lower bounds in Theorem 4 c) are presumably new.”
• Bounds for ratios of modified Bessel functions and associated Turán-type inequalities (2011, background): “On the other hand, recently there has been a considerable interest in the study of Turán-type inequalities for special functions (see, for example, [3, 5, 6, 7, 12, 15, 16, 17, 18]), including modified Bessel functions.”