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Part of the book series: Nonlinear Systems and Complexity ((NSCH,volume 25))

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Abstract

In this chapter several special functions used in the follow-up of the book are presented briefly.

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Notes

  1. 1.

    L. Euler (1707–1783).

  2. 2.

    J.C.F. Gauss (1777–1855).

  3. 3.

    K.T.W. Weierstrass (1815–1897).

  4. 4.

    A.M. Legendre (1752–1833).

  5. 5.

    M.G. Mittag-Leffler (1846–1927).

References

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  4. Erdélyi, A. (Ed.). (1955). Higher transcendental functions (Vols. I–III). New York: McGraw-Hill Book Company

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  5. Gorenflo, R., Kilbas, A. A., Mainardi, F., & Rogosin, S. V. (2014). Mittag-Leffler functions, related topics and applications. Springer monographs in mathematics. Heidelberg: Springer.

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  6. Lorenzo, C. F., & Hartley, T. T. (2017). The fractional trigonometry: With applications to fractional differential equations and science. Hoboken: Wiley & Sons, Inc.

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  8. Podlubny, I. (1998). Fractional differential equations: An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. Mathematics in science and engineering. San Diego: Academic Press.

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Milici, C., Drăgănescu, G., Tenreiro Machado, J. (2019). Special Functions. In: Introduction to Fractional Differential Equations. Nonlinear Systems and Complexity, vol 25. Springer, Cham. https://doi.org/10.1007/978-3-030-00895-6_1

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  • DOI: https://doi.org/10.1007/978-3-030-00895-6_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-00894-9

  • Online ISBN: 978-3-030-00895-6

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