# Repeated Derivatives of Hyperbolic Trigonometric Functions and Associated Polynomials

^{1}

^{2}

^{*}

## Abstract

**:**

## 1. Introduction

**Theorem**

**1.**

**Proof.**

**Theorem**

**2.**

**Proof.**

**Corollary**

**1.**

**Proof.**

**Remark**

**1.**

## 2. Higher Order Derivatives of Trigonometric Functions

**Proposition**

**1.**

**Proof.**

**Corollary**

**2.**

**Example**

**1.**

**Example**

**2.**

**Example**

**3.**

**Remark**

**2.**

## 3. Final Comments

## Author Contributions

## Funding

## Acknowledgments

## Conflicts of Interest

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**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.
https://doi.org/10.3390/axioms8040138

**AMA Style**

Dattoli G, Licciardi S, Pidatella RM, Sabia E.
Repeated Derivatives of Hyperbolic Trigonometric Functions and Associated Polynomials. *Axioms*. 2019; 8(4):138.
https://doi.org/10.3390/axioms8040138

**Chicago/Turabian Style**

Dattoli, Giuseppe, Silvia Licciardi, Rosa Maria Pidatella, and Elio Sabia.
2019. "Repeated Derivatives of Hyperbolic Trigonometric Functions and Associated Polynomials" *Axioms* 8, no. 4: 138.
https://doi.org/10.3390/axioms8040138