A Note on New Bounds Inequalities for the Nuttall Q‐Function

ABSTRACT The main aim of this paper is to derive new functional bounds for the Nuttall ‐function. The first set of bounds contains a combination of hypergeometric functions while the other bounds in terms of incomplete generalized Fox–Wright function. As a direct consequence, we establish new functional bounds upon the generalized Marcum ‐function and the Marcum ‐function. The proposed bounds are tighter than some bounds proposed in the literature under some restrictions on parameters. Furthermore, some numerical computation are given to illustrate the obtained results.