Repeated Derivatives of Hyperbolic Trigonometric Functions and Associated Polynomials

Author:

Dattoli Giuseppe,Licciardi SilviaORCID,Pidatella Rosa Maria,Sabia Elio

Abstract

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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Reference26 articles.

1. On the Hurwitz function for rational arguments

2. Higher Order Derivatives of Trigonometric Functions, Stirling Numbers of the Second Kind and Zeon Algebra;Neto;J. Integer Seq.,2014

3. Zeon algebra, Fock space, and Markov chains

4. Derivative polynomials and closed-form higher derivative formulae

5. Derivative polynomials for tanh, tan, sech and sec in explicit form;Boyadzhiev;Fibonacci Q.,2007

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