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arXiv · 1907.12143

Repeated derivatives of tanh, sech, ... and associated polynomials

Giuseppe Dattoli·Silvia Licciardi·Rosa Maria Pidatella·Elio Sabia
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Abstract

Elementary problems like the evaluation of repeated derivatives of ordinary transcendent functions can usefully be treated by the use of special polynomials and of a formalism borrowed from combinatorial analysis. Motivated by previous researches in this field, we review the results obtained by other authors and develop a complementary point of view for the repeated derivatives of sec(.), tan(.) and for their hyperbolic counterparts.

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Giuseppe Dattoli, Silvia Licciardi, Rosa Maria Pidatella, Elio Sabia. 2019-07-28. Repeated derivatives of tanh, sech, ... and associated polynomials. https://arxiv.org/abs/1907.12143

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