Some integrals involving theQ_Mfunction (Corresp.)

1975/01/01 by Albert H. Nuttall · 6 citations
Mathematics · #Advanced Mathematical Identities #Mathematical Inequalities and Applications #Mathematical functions and polynomials

paper · doi:10.1109/tit.1975.1055327

openalex publication_date 1975/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

Some integrals are presented that can be expressed in terms of theQ_Mfunction, which is defined as Q_M(a,b) = ∫_b^∞ dx x(x/a)^M-1 exp (- (x² + a²)/(2)) I_M-1(ax), whereI_M-1is the modified Bessel function of orderM-1. Some integrals of theQ_Mfunction are also evaluated.

Cited by

• Distributed Spatial Multiplexing Systems with Hardware Impairments and Imperfect Channel Estimation under Rank-1 Rician Fading Channels
• Random Aerial Beamforming for Underlay Cognitive Radio with Exposed Secondary Users
• Efficient Beam Selection for ISAC in Cell-Free Massive MIMO via Digital Twin-Assisted Deep Reinforcement Learning
• Detecting Adversarial Examples from Sensitivity Inconsistency of Spatial-Transform Domain
• Copulas for statistical signal processing (Part I): Extensions and generalization
• Marcum Q-function [wikipedia]