Next Article in Journal
Separability of Nonassociative Algebras with Metagroup Relations
Next Article in Special Issue
Mathematical Analysis and Applications II
Previous Article in Journal
Solutions of the Generalized Abel’s Integral Equations of the Second Kind with Variable Coefficients
Previous Article in Special Issue
Approximation Properties of an Extended Family of the Szász–Mirakjan Beta-Type Operators
Open AccessArticle

Repeated Derivatives of Hyperbolic Trigonometric Functions and Associated Polynomials

1
ENEA—Frascati Research Center, Via Enrico Fermi 45, 00044 Frascati (Rome), Italy
2
Department of Mathematics and Computer Sciences, University of Catania, Viale A. Doria 6, 95125 Catania, Italy
*
Author to whom correspondence should be addressed.
Axioms 2019, 8(4), 138; https://doi.org/10.3390/axioms8040138
Received: 8 November 2019 / Revised: 4 December 2019 / Accepted: 5 December 2019 / Published: 6 December 2019
(This article belongs to the Special Issue Mathematical Analysis and Applications II)
Elementary problems as the evaluation of repeated derivatives of ordinary transcendent functions can usefully be treated with 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. View Full-Text
Keywords: operators theory 44A99, 47B99, 47A62; special functions 33C52, 33C65, 33C99, 33B10, 33B15; Stirling numbers and Touchard polynomials 11B73 operators theory 44A99, 47B99, 47A62; special functions 33C52, 33C65, 33C99, 33B10, 33B15; Stirling numbers and Touchard polynomials 11B73
MDPI and ACS Style

Dattoli, G.; Licciardi, S.; Pidatella, R.M.; Sabia, E. Repeated Derivatives of Hyperbolic Trigonometric Functions and Associated Polynomials. Axioms 2019, 8, 138.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop