An explicit formula for derivative polynomials of the tangent function

DOI10.1515/ausm-2017-0026zbMath1390.26005OpenAlexW2799440824WikidataQ129901665 ScholiaQ129901665MaRDI QIDQ1750074

Feng Qi, Bai-Ni Guo

Publication date: 17 May 2018

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ausm-2017-0026

zbMATH Keywords

tangent functionexplicit formulaopen problemderivative polynomialtangent number

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Trigonometric polynomials, inequalities, extremal problems (42A05) One-variable calculus (26A06) Exponential and trigonometric functions (33B10)

Related Items (2)

Special values of the Bell polynomials of the second kind for some sequences and functions ⋮ Unnamed Item

Cites Work

• Explicit expressions for a family of the Bell polynomials and applications
• Two explicit formulas for the generalized Motzkin numbers
• Derivatives of tangent function and tangent numbers
• Closed formulas for computing higher-order derivatives of functions involving exponential functions
• Refinements, generalizations, and applications of Jordan's inequality and related problems
• Sharpening and generalizations of Shafer's inequality for the arc tangent function
• Derivative polynomials, Euler polynomials, and associated integer sequences
• Explicit formulas and recurrence relations for higher order Eulerian polynomials
• Some identities and an explicit formula for Bernoulli and Stirling numbers
• Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind
• Some identities involving exponential functions and Stirling numbers and applications
• Sharpening and generalizations of Shafer's inequality for the arc sine function
• Derivative polynomials of a function related to the Apostol-Euler and Frobenius-Euler numbers
• Derivative Polynomials for Tangent and Secant
• SEVERAL FORMULAS FOR SPECIAL VALUES OF THE BELL POLYNOMIALS OF THE SECOND KIND AND APPLICATIONS
• A diagonal recurrence relation for the Stirling numbers of the first kind
• Sharpening and generalizations of Shafer-Fink's double inequality for the arc sine function
• Derivative Polynomials for tanh, tan, sech and sec in Explicit Form
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• Unnamed Item

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