Further extension of Voigt function and its properties

Abstract

Abstract In this paper, by using the confluent hypergeometric function of the first kind, we propose a further extension of the Voigt function and obtain its useful properties as (for example) explicit representation and partly bilateral and partly unilateral representation. By means of the present representations, we derive several (presumably new) generating functions which are partly bilateral and partly unilateral. Some interesting recurrence relations of the Voigt function introduced here are also indicated.

Keywords

• Voigt function
• Kampé de Fériet function
• Srivastava and Daoust function