Finite fields analogs of the classical error function and incomplete gamma function are defined as complex functions over finite fields.
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J. Greene, “Hypergeometric functions over finite fields,” Trans. Amer. Math. Soc., 301, No. 1, 77–101 (1987).
R. J. Evans, “Hermite character sums,” Pacific J. Math., 122, No. 2, 357–390 (1986).
W. N. Bailey, Generalized Hypergeometric Series, Strechert–Hafner, New York (1964).
F.W. J. Olver, Introduction to Asymptotics and Special Functions, Academic Press (1974).
K. Ireland and M. Rosen, A Classical Introduction to Modern Number Theory, Springer (1982).
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 468, 2018, pp. 281–286.
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Proskurin, N.V. On Some Special Functions over Finite Fields. J Math Sci 240, 688–691 (2019). https://doi.org/10.1007/s10958-019-04385-9
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DOI: https://doi.org/10.1007/s10958-019-04385-9