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- W2949673082 abstract "We study the convexity properties of the generalized trigonometric functions considered as functions of parameter. We show that $ptosin_p(y)$ and $ptocos_p(y)$ are log-concave on the appropriate intervals while $ptotan_p(y)$ is log-convex. We also prove similar facts about the generalized hyperbolic functions. In particular, our results settle the major part of a conjecture put forward in a recent paper by Baricz, Bhayo and Vuorinen." @default.
- W2949673082 created "2019-06-27" @default.
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- W2949673082 date "2014-02-13" @default.
- W2949673082 modified "2023-10-16" @default.
- W2949673082 title "Parameter convexity and concavity of generalized trigonometric functions" @default.
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- W2949673082 doi "https://doi.org/10.48550/arxiv.1402.3357" @default.
- W2949673082 hasPublicationYear "2014" @default.
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