F. W. J. Olver, “Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables,” Dover Publications, New York, 1972, p. 360, Equation (9.1.16).
has been cited by the following article:
TITLE: The Corrected Expressions for the Four-Pole Transmission Matrix for a Duct with a Linear Temperature Gradient and an Exponential Temperature Profile
AUTHORS: Carl Q. Howard
KEYWORDS: Duct; Transmission Matrix; Four-Pole; Temperature Gradient; Finite Element Analysis
JOURNAL NAME: Open Journal of Acoustics, Vol.3 No.3, September 9, 2013
ABSTRACT: The purpose of this letter is to present the corrected expressions for the four-pole transmission matrix for a duct with a linear temperature gradient and an exponential temperature profile, described in Sujith [1]. The corrected equations are used in the analyses of a duct that is driven by a piston at one end and a rigid termination at the other end and the gas has a linear and exponential temperature gradients. The acoustic pressure and particle velocity along the duct are calculated and the theoretical results are compared with predictions using finite element analysis.