2006
DOI: 10.1201/9781420011494
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Operational Calculus and Related Topics

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Cited by 52 publications
(16 citation statements)
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“…Operator calculus or Operational Analysis is a technique of solving differential equations by transforming them into an algebraic problem. According to (10) , Oliver Heaviside (1850-1925) was a pioneer in promoting operational calculus methods through his research papers. He applied operator calculus in finding the solutions of differential equations, especially in the theory of electricity.…”
Section: Operator Calculusmentioning
confidence: 99%
“…Operator calculus or Operational Analysis is a technique of solving differential equations by transforming them into an algebraic problem. According to (10) , Oliver Heaviside (1850-1925) was a pioneer in promoting operational calculus methods through his research papers. He applied operator calculus in finding the solutions of differential equations, especially in the theory of electricity.…”
Section: Operator Calculusmentioning
confidence: 99%
“…The algebraic identification method provides an exact static formula for the unknown parameters which is based only on measurable input and output variables. The parameter calculation expressions are obtained via algebraic manipulations based on derivative operator in operational domain [7,8]. This approach provides elimination of unknown initial conditions and generation of linear relations in the unknown parameters, so that accurate calculation of the parameters follows immediately from these relations.…”
Section: Introductionmentioning
confidence: 99%
“…The Kontorovich-Lebedev integral transform was first investigated by M. J. Kontorovich and N. N. Lebedev in 1938Lebedev in -1939 and has the form (see [5], [6], [14])…”
Section: Introductionmentioning
confidence: 99%
“…The Macdonald function has the asymptotic behaviour (see [6]) The following form for the Macdonald function is very useful (see [1], [6], [14]):…”
Section: Introductionmentioning
confidence: 99%
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