The Sigmoid Neural Network Activation Function and its Connections to Airy’s and the Nield-Kuznetsov Functions

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Abstract: Analysis and solution of Airy’s inhomogeneous equation, when its forcing function is the sigmoid neural network activation function, are provided in this work. Relationship between the Nield-Kuznetsov, the Scorer, the sigmoid, the polylogarithm and Airy’s functions are established. Solutions to initial and boundary value problems, when the sigmoid function is involved, are obtained. Computations were carried out using Wolfram Alpha.

Proof, ISSN / E-ISSN: 2944-9162 / 2732-9941, Volume 2, 2022, Art. #13

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M. H. Hamdan, D. C. Roach, "The Sigmoid Neural Network Activation Function and its Connections to Airy’s and the Nield-Kuznetsov Functions," Proof, vol. 2, pp. 108-114, 2022, DOI:10.37394/232020.2022.2.13
M. H. Hamdan, D. C. Roach. The Sigmoid Neural Network Activation Function and its Connections to Airy’s and the Nield-Kuznetsov Functions. Proof. 2022;2:108-114. 10.37394/232020.2022.2.13
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