Suchergebnisse - applications of generalized hyperbolic and trigonometric functions

Inequalities for the generalized trigonometric and hyperbolic functions von Klén, Riku, Vuorinen, Matti, Zhang, Xiaohui

“… The generalized hyperbolic functions are defined similarly. Some classical inequalities for trigonometric and hyperbolic functions, such as Mitrinović …”
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Inequalities on generalized trigonometric and hyperbolic functions von Yang, Chen-Yan

“… In this paper, we prove some inequalities involving the generalized trigonometric and hyperbolic functions …”
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Functional inequalities for generalized inverse trigonometric and hyperbolic functions von Baricz, Árpád, Bhayo, Barkat Ali, Pogány, Tibor K.

“… Various miscellaneous functional inequalities are deduced for the so-called generalized inverse trigonometric and hyperbolic functions …”
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Linear superposition principle of hyperbolic and trigonometric function solutions to generalized bilinear equations von Ünsal, Ömer, Ma, Wen-Xiu

“… Linear subspaces of hyperbolic and trigonometric function solutions to generalized bilinear equations are analyzed …”
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Some Wilker and Cusa type inequalities for generalized trigonometric and hyperbolic functions von Huang, Li-Guo, Yin, Li, Wang, Yong-Li, Lin, Xiu-Li

“… The authors obtain some Wilker and Cusa type inequalities for generalized trigonometric and hyperbolic functions and generalize some known inequalities …”
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Applications of a duality between generalized trigonometric and hyperbolic functions von Miyakawa, Hiroki, Takeuchi, Shingo

“… It is shown that generalized trigonometric functions and generalized hyperbolic functions can be transformed from each …”
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Applications of a duality between generalized trigonometric and hyperbolic functions II von Miyakawa, Hiroki, Takeuchi, Shingo

“… Generalized trigonometric functions and generalized hyperbolic functions can be converted to each other by the duality formulas previously discovered by the authors …”
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α,β,ν trigonometric and hyperbolic generalized functions von Droghei, Riccardo, Garra, Roberto

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A generalized curve subdivision scheme of arbitrary order with a tension parameter von Fang, Mei-e, Ma, Weiyin, Wang, Guozhao

“… By assigning an appropriate initial tension parameter, many analytic curves commonly used in engineering applications, such as Lissajous curves, conics, trigonometric function curves, hyperbolic …”
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Interaction behavior associated with a generalized (2+1)-dimensional Hirota bilinear equation for nonlinear waves von Hua, Yan-Fei, Guo, Bo-Ling, Ma, Wen-Xiu, Lü, Xing

“… , or two positive quadratic functions with a hyperbolic cosine function in the bilinear equation …”
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Parameter convexity and concavity of generalized trigonometric functions von Karp, D.B., Prilepkina, E.G.

“… We study the convexity properties of the generalized trigonometric functions viewed as functions of the parameter. We show that p→sinp⁡(y) and p→cosp⁡(y …”
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Exponential type orbitals with generalized hyperbolic cosine functions for atomic systems von Erturk, M.

“… functions with the generalized hyperbolic cosine type functions coshpq(βr) and coshpq(βrμ), where p and q are arbitrary parameters, are proposed and applied to Hartree …”
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Monotonicity and inequalities related to the generalized inverse Lemniscate functions von Yin, Li, Lin, Xiu Li

“… In the paper, we mainly studied the monotonicity and inequalities for some functions related to the generalized inverse lemniscate and the generalized hyperbolic inverse lemniscate functions …”
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Lie Symmetry Analysis, Rogue Waves, and Lump Waves of Nonlinear Integral Jimbo–Miwa Equation von Hussain, Ejaz, Abdullah, Aljethi Reem, Farooq, Khizar, Shah, Syed Asif Ali

“… The multivariate generalized exponential rational integral function approach offers advantages in addressing challenges involving exponential, hyperbolic, and trigonometric functions formulated based …”
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Dynamics of optical pulses in dual-core optical fibers modelled by decoupled nonlinear Schrodinger equation via GERF and NEDA techniques von Younas, Usman, Sulaiman, T. A., Ren, Jingli

“… The optical pulses in different shapes like dark, bright, singular, and combined solitons by application of the generalized exponential rational function method and the new extended direct algebraic method …”
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An affirmative answer to an open problem about generalized trigonometric functions: An affirmative answer to an open problem von Deng, Qin-Tao, Peng, Hao-Ran, Zhong, Fu-Lin

“… In this paper, we solve an open problem about generalized trigonometric functions proposed by L. Yin, L.G. Huang and F …”
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Optical Solitary Waves and Soliton Solutions of the (3+1)-Dimensional Generalized Kadomtsev–Petviashvili–Benjamin–Bona–Mahony Equation von Mahmud, A. A., Baskonus, H. M., Tanriverdi, T., Muhamad, K. A.

“… The aforesaid nonlinear system is subjected to the initial application of two trustworthy and dependable approaches, namely the improved Bernoulli sub-equation function method and the modified extended -function method …”
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D’Alembert wave and interaction solutions for a (3 + 1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff equation von Feng, Qing-Jiang, Zhang, Guo-Qing

“… The research objective of this paper is to improve the exp( − ϕ ( ξ )) expansion method and its application, and some novel …”
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A proof of Chen-Males̆ević’s conjecture von Wang, Fen, Xiao, Hai-Yan

“… In this paper, we obtain a new inequality between the inverse hyperbolic tangent and inverse sine functions, which is a conjecture of Chen-Males̆ević …”
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On certain new means generated by generalized trigonometric functions von Sándor, József, Barkat Ali Bhayo

“… \) and \(T\) as an application of generalized trigonometric and hyperbolic functions. Moreover, several two-sided inequalities involving these generalized means …”
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