SOME INEQUALITIES OF THE TURAN TYPE FOR CONFLUENT HYPERGEOMETRIC FUNCTIONS OF THE SECOND KIND

Ravi Bhukya (1) , Venkatalakshmi Akavaram (2) , Feng Qi (3, 4)

1 Government College for Men
2 Osmania University
3 Henan Polytechnic University
4 Tianjin Polytechnic University

In the paper, the authors derive some inequalities of the Turán type for confluent hypergeometric functions of the second kind, for the Mellin transforms, and for the Laplace transforms, and improve some known inequalities of the Turán type.

Mots clés: Mellin transform; inequality of the Turan type; improvement; confluent hypergeometric function of the second kind; Laplace transform

Domaines: Analyse classique [math.CA]

Ravi Bhukya, Venkatalakshmi Akavaram, Feng Qi. SOME INEQUALITIES OF THE TURAN TYPE FOR CONFLUENT HYPERGEOMETRIC FUNCTIONS OF THE SECOND KIND: Inequalities of confluent hypergeometric functions. 2018. ⟨hal-01701854v1⟩