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Generalized exponential functions for system analysis and synthesis. (English) Zbl 0283.93002

MSC:

93A10 General systems
93Cxx Model systems in control theory
94C10 Switching theory, application of Boolean algebra; Boolean functions (MSC2010)
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
33E99 Other special functions
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References:

[1] CARSON J. R., Electric Circuit Theory and the Operational Calculus (1926) · Zbl 0050.41706
[2] COPSON , E. T. , 1943 ,Proc. Roy. Soc., Edinburgh , 62 , 260 .
[3] HASHIMOTO K., Journal of Electrical Engineering in Japan 89 pp 94– (1969)
[4] KAUTZ W. H., I.R.E. Trans. Circuit Theory pp 29– (1954) · doi:10.1109/TCT.1954.1083588
[5] KISHI M., Trans. I.E.C.E. pp 155– (1972)
[6] LEE Y. W., J. Math. Phys. 11 pp 83– (1932)
[7] MCLACHLAN N. W., Complex Variable and Operational Calculus with Technical Applications (1939) · Zbl 0021.22901
[8] DOI: 10.1080/00207177308932557 · Zbl 0263.93020 · doi:10.1080/00207177308932557
[9] SUEZAKI , T. , and TAKAHASHI , S. , and IWAKAMI , T. , 1969 ,Synthesis of RC Transmission Networks Containing Distributed RC Lines, Electronics and Communications in Japan , 51-A , 9 .
[10] WAGNER K. W., Operation Rechnung (1940)
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