Geodesic
Generalized Gudermannian function
Problemy analiza, Tome 7 (2018) no. 1, pp. 70-86

Voir la notice de l'article provenant de la source Math-Net.Ru

Wilker and Huygens-type inequalities involving generalized Gudermannian function and its inverse function are established. These results are obtained with the aid of the $p$-version of the Schwab–Borchardt mean. Generalized one-parameter trigonometric and hyperbolic functions play a crucial role in this paper.
Keywords: Generalized Gudermannian function and its inverse function; generalized trigonometric and generalized hyperbolic functions; Gauss hypergeometric function; $p$-version of the Schwab–Borchardt mean; inequalities. 
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     author = {Edward Neuman},
     title = {Generalized {Gudermannian} function},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2018_7_1_a4/}
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Edward Neuman. Generalized Gudermannian function. Problemy analiza, Tome 7 (2018) no. 1, pp. 70-86. http://geodesic.mathdoc.fr/item/PA_2018_7_1_a4/