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Turán type inequalities for generalized inverse trigonometric functions [PDF]

Filomat, 2015
In this paper we study the inverse of the eigenfunction sinp of the one-dimensional p-Laplace operator and its dependence on the parameter p, and we present a Tur?n type inequality for this function. Similar inequalities are given also for other generalized inverse trigonometric and hyperbolic functions.
Árpád Baricz +2 more
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Principal Branches of Inverse Trigonometric and Inverse Hyperbolic Functions

ACM Communications in Computer Algebra, 2023
We discuss principal branches for five square root functions and for the inverse trigonometric and inverse hyperbolic functions. We take the standard reference in this area to be the NIST Digital Library of Mathematical Functions (DLMF). We adopt the notation for and the definitions of the principal branches of the inverse functions in the DLMF ...
Kevin M. Dempsey
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Inverse Trigonometric Functions Arctan and Arccot [PDF]

Formalized Mathematics, 2008
Summary. This article describes definitions of inverse trigonometric functions arctan, arccot and their main properties, as well as several dierentiation formulas of arctan and arccot.
Xiquan Liang, Bing Xie
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Matrix Inverse Trigonometric and Inverse Hyperbolic Functions: Theory and Algorithms [PDF]

SIAM Journal on Matrix Analysis and Applications, 2016
Theoretical and computational aspects of matrix inverse trigonometric and inverse hyperbolic functions are studied. Conditions for existence are given, all possible values are characterized, and the principal values acos, asin, acosh, and asinh are defined and shown to be unique primary matrix functions.
Mary Aprahamian, Nicholas J. Higham
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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020
In this paper, we obtain a sharp double inequality between the inverse tangent and inverse hyperbolic sine functions. At the same time, we give a sharp double inequality between the inverse hyperbolic tangent and inverse sine functions.
Chao-Ping Chen, Branko Malešević
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Inequality chains related to trigonometric and hyperbolic functions and inverse trigonometric and hyperbolic functions [PDF]

Journal of Mathematical Inequalities, 2013
Wepresent inequality chains related to trigonometric and hyperbolic and inverse trigono- metric and hyperbolic functions.
Chao-Ping Chen, József Sándor
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Inequalities connecting generalized trigonometric functions with their inverses

Issues of Analysis, 2013
Motivated by the recent work [1], in this paper we study the relations of generalized trigonometric and hyperbolic functions of two parameters with their inverse functions.
Barkat Ali Bhayo, József Sándor
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A method for calculating inverse trigonometric functions [PDF]