Generalized Gudermannian function

DOI10.15393/j3.art.2018.4310zbMath1428.26064OpenAlexW2886672100WikidataQ129425640 ScholiaQ129425640MaRDI QIDQ5204617

Edward Neuman

Publication date: 4 December 2019

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa228

zbMATH Keywords

inequalitiesGauss hypergeometric function\(p\)-version of the Schwab-Borchardt meangeneralized Gudermannian function and its inverse functiongeneralized trigonometric and generalized hyperbolic functions

Mathematics Subject Classification ID

Means (26E60) Other analytical inequalities (26D20) Inequalities involving other types of functions (26D07)

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Properties of generalized trigonometric functions
• Some remarkable sine and cosine functions
• On the inequalities for the generalized trigonometric functions
• On generalized trigonometric functions with two parameters
• On the \(p\)-version of the Schwab-Borchardt mean
• Convexity properties of generalized trigonometric and hyperbolic functions
• Wilker- and Huygens-type inequalities for Jacobian elliptic and theta functions
• Inequalities involving generalized trigonometric and hyperbolic functions
• Inequalities for weighted sums of powers and their applications
• Inequalities for the generalized trigonometric, hyperbolic and Jacobian elliptic functions
• Monotonicity Rules in Calculus
• WILKER AND HUYGENS-TYPE INEQUALITIES INVOLVING GUDERMANNIAN AND THE INVERSE GUDERMANNIAN FUNCTIONS
• Inequalities for the generalized trigonometric and hyperbolic functions

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