Special functions of circuits and systems
type: Item
instance of: scholarly article
title: Special functions of circuits and systems
zbMATH Open document ID: 0409.94026
DOI: 10.1016/0016-0032(79)90025-5
author: David E. Johnson
author: Johnny R. Johnson
published in: Journal of the Franklin Institute
publication date: 1979-01-01T00:00:00Z
review text: The authors discuss the relationship between 1) electric network filter amplitude functions and various special functions: Legendre, Jacobi, Chebyshev, Laguerre, Hermite, etc. polynomials, 2) two element kind electric network functions and Jacobi and Laguerre type polynomials and 3) spanning tree enumeration problems of a graph and Fibonacci numbers and Chebyshev polynomials of the first and second kind.
reviewed by: David P. Brown
Mathematics Subject Classification ID: 94C05
Mathematics Subject Classification ID: 33C55
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 94A15
Mathematics Subject Classification ID: 05C30
zbMATH DE Number: 3637735
zbMATH Keywords: Legendre polynomials
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: electric network filter amplitude functions
zbMATH Keywords: spanning tree enumeration problems of a graph
MaRDI profile type: Publication
full work available at URL: 0016-0032(79)90025-5
OpenAlex ID: W2092515078
cites work: Q5843703
cites work: Q5723327
cites work: Q5783397
cites work: A New Class of Orthogonal Polynomials: The Bessel Polynomials
cites work: The Bessel Polynomials
cites work: Generating Functions for Bessel and Related Polynomials
cites work: Q5730798
cites work: Q5568053
cites work: Transfer functions of generalized Bessel polynomials
cites work: Filters using Bessel-type polynomials
cites work: General solution to the spanning tree enumeration problem in arbitrary multigraph joins
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description: scientific article; zbMATH DE number 3637735