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Complex Variables and Functions

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Abstract

Complex numbers and functions are discussed. This material lays the groundwork for fundamental relaxation results.

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Change history

  • 23 April 2020

    The original version of this book were inadvertently published with multiple typographical errors and the same has been updated.

References

  1. Kyrala, A.: Applied Functions of a Complex Variable. Wiley-Interscience, Hoboken, NJ (1972)

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  2. Copson, E.T.: An Introduction to the Theory of Functions of a Complex Variable, Oxford (1960). [PDF online at: https://ia800701.us.archive.org/27/items/TheoryOfTheFunctionsOfAComplexVariable/Copson-TheoryOfFunctionsOfAComplexVariable.pdf]

  3. Titchmarsh, E.C.: The Theory of Functions, 2nd edn. Oxford University Press, Oxford (1948). (PDF online at: https://archive.org/details/TheTheoryOfFunctions)

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  4. Titchmarsh, E.C.: Introduction to the Theory of Fourier Integrals, 2nd edn. Clarendon Press, Oxford (1948). (PDF online at: https://archive.org/details/IntroductionToTheTheoryOfFourierIntegrals)

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Hodge, I.M. (2019). Complex Variables and Functions. In: Classical Relaxation Phenomenology. Springer, Cham. https://doi.org/10.1007/978-3-030-02459-8_2

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