Repeated derivatives of tanh, sech, ... and associated polynomials
Classical Analysis and ODEs
2019-07-30 v1
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.
Keywords
Cite
@article{arxiv.1907.12143,
title = {Repeated derivatives of tanh, sech, ... and associated polynomials},
author = {Giuseppe Dattoli and Silvia Licciardi and Rosa Maria Pidatella and Elio Sabia},
journal= {arXiv preprint arXiv:1907.12143},
year = {2019}
}
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9 pages