On the sum of the Lah numbers and zeros of the Kummer confluent hypergeometric function

Abstract

In the paper, the authors find the sum of the Lah numbers and make sure that the Kummer confluent hypergeometric function 1F1(n+ 1; 2; z) has only n− 1real and negative zeros.

Keywords

• lah number
• sum
• kummer confluent hypergeometric function
• zero
• primary 11b83
• secondary 05a10, 05a19, 11b65, 11b99, 30c15, 33c15, 65b10