On the properties of some special functions related to Bessel's functions and their application in heat exchanger theory
type: Item
instance of: scholarly article
title: On the properties of some special functions related to Bessel's functions and their application in heat exchanger theory
zbMATH Open document ID: 0598.76098
DOI: 10.1016/0017-9310(84)90081-4
author: Wincenty Pieczka
author: Jan Lach
published in: International Journal of Heat and Mass Transfer
publication date: 1984-01-01T00:00:00Z
review text: Two classes of special functions, denoted by \(Bs_ n\) and \(Bes_ n\) and defined by certain power series in x and y, have been dealt with in this paper. Basic properties of these functions and their relationships with modified Bessel functions (of integer order) have been shown. Further several identities and differential and integral formulas have been given with respect to \(Bs_ n\) and \(Bes_ n\) functions. Applications of these functions to some important examples in the theory of heat transfer have also been given.
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 33C10
zbMATH DE Number: 3965731
zbMATH Keywords: power series
zbMATH Keywords: modified Bessel functions
zbMATH Keywords: heat transfer
reviewed by: V. P. Tyagi
MaRDI profile type: Publication
full work available at URL: 0017-9310(84)90081-4
OpenAlex ID: W2051672042
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description: scientific article; zbMATH DE number 3965731