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A class of nonrational impedances
Author(s) -
Belevitch V.
Publication year - 1978
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490060402
Subject(s) - electrical impedance , capacitance , mathematics , class (philosophy) , mathematical analysis , shunt (medical) , function (biology) , control theory (sociology) , physics , engineering , computer science , electrical engineering , quantum mechanics , evolutionary biology , biology , medicine , control (management) , electrode , artificial intelligence , cardiology
The hypergeometric function p −1 F(1, b; c; −p −2 ) is a positive real function of p for all real values of the parameters satisfying c ≧ b ≧ 0. The corresponding impedance is realizable as an LC‐ladder beginning with a unit shunt capacitance. The behavior on the j ‐axis of this class of impedances is analysed.