Abstract
In this chapter several special functions used in the follow-up of the book are presented briefly.
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Notes
- 1.
L. Euler (1707–1783).
- 2.
J.C.F. Gauss (1777–1855).
- 3.
K.T.W. Weierstrass (1815–1897).
- 4.
A.M. Legendre (1752–1833).
- 5.
M.G. Mittag-Leffler (1846–1927).
References
Abramowitz, M., & Stegun, I. A. (Eds.). (1965). Handbook of mathematical functions. Dover books on mathematics. New York: Dover Publications.
Brychkov, Y. A. (2008). Handbook of special functions derivatives, integrals, series and other formulas. Boca Raton: Chapman and Hall/CRC.
Erdélyi, A. (1954). Tables of integral transforms (Vols. 1–2). New York: McGraw-Hill Book Company.
Erdélyi, A. (Ed.). (1955). Higher transcendental functions (Vols. I–III). New York: McGraw-Hill Book Company
Gorenflo, R., Kilbas, A. A., Mainardi, F., & Rogosin, S. V. (2014). Mittag-Leffler functions, related topics and applications. Springer monographs in mathematics. Heidelberg: Springer.
Lorenzo, C. F., & Hartley, T. T. (2017). The fractional trigonometry: With applications to fractional differential equations and science. Hoboken: Wiley & Sons, Inc.
Nikiforov, A. F., & Ouvarov, V. (1976). Eléments de la théorie des fonctions spéciales. Moscow: Mir Publishers.
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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