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integral-recurrence equation; first order differential recurrence equations; discrete-continuous convolution; combinatorial discrete-continuous convolution; auto-convolution; Laplace transform

References:

[1] Cîrnu, M.: **First order differential recurrence equations with discrete auto–convolution**. Int. J. Math. Comput. 4 (S09) (2009), 124–128. MR 2596425

[2] Cîrnu, M.: **Newton’s identities and Laplace transform**. Amer. Math. Monthly 117 (1) (2010), 67–71. DOI 10.4169/000298910X474998 | MR 2599468

[3] Cîrnu, M.: **Initial–value problems for first–order differential recurrence equations with auto–convolution**. Electron. J. Differential Equations 2 (2011), 1–13. MR 2764319 | Zbl 1258.34023

[4] Flaisher, N. M.: **A certain differential recurrence equation**. Arch. Math. (Brno) 4 (4) (1968), 237–239, (Russian). MR 0262631

[5] Widder, D. V.: **The Laplace transform**. Princeton University Press, 1946. MR 0005923

[6] Wintner, A.: **On analytic convolutions of Bernoulli distributions**. Amer. J. Math. 56 (1934), 659–663. DOI 10.2307/2370961 | MR 1507049 | Zbl 0010.05905