Some inequalities for special functions

[摘要] This paper is motivated by an open problem of several inequalities for confluent hypergeometric functions. We give some inequalities for simple Laguerre, Laguerre, pseudo-Laguerre, Shively’s pseudo-Laguerre, and Hermite functions of one and two variables.

[学科分类] 数学（综合）

[关键词] confluent hypergeometric;simple Laguerre;Laguerre;pseudo-Laguerre;Shively’s pseudo-Laguerre;Hermite functions;26D15;30A10;26D07