Search Results - Generalized hyperbolic functions
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Wilker and Huygens- type inequalities for the generalized trigonometric and for the generalized hyperbolic functions
ISSN: 0096-3003, 1873-5649Published: Elsevier Inc 01.03.2014Published in Applied mathematics and computation (01.03.2014)“…Wilker and Huygens-type inequalities for the generalized trigonometric and hyperbolic functions are established…”
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New generalized hyperbolic functions and auto-Bäcklund transformation to find new exact solutions of the ( 2 + 1 ) -dimensional NNV equation
ISSN: 0375-9601, 1873-2429Published: Elsevier B.V 25.09.2006Published in Physics letters. A (25.09.2006)“…In the present Letter, we first time define new functions (called generalized hyperbolic functions…”
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3
Generalized Hyperbolic Function Solution to a Class of Nonlinear Schrödinger-Type Equations
ISSN: 1110-757X, 1687-0042Published: Cairo, Egypt Hindawi Limiteds 01.01.2012Published in Journal of Applied Mathematics (01.01.2012)“…With the help of the generalized hyperbolic function, the subsidiary ordinary differential equation method is improved and proposed to construct exact traveling wave solutions of the nonlinear partial…”
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4
A Generalized Hyperbolic Distance Function for Benchmarking Performance: Estimation and Inference: A Generalized Hyperbolic
ISSN: 0927-7099, 1572-9974Published: New York Springer US 01.06.2025Published in Computational economics (01.06.2025)“…This paper describes a new multiplicative, generalized hyperbolic distance function (GHDF…”
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5
Weighted generalized functions and hyperbolic Riesz B‐potential
ISSN: 0170-4214, 1099-1476Published: Freiburg Wiley Subscription Services, Inc 01.10.2019Published in Mathematical methods in the applied sciences (01.10.2019)“…The paper is devoted to the study of the fractional integral operator, which is a negative real power of the singular wave operator generated by Bessel operator using weighted generalized functions…”
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Convexity of the generalized sine function and the generalized hyperbolic sine function
ISSN: 0021-9045, 1096-0430Published: Elsevier Inc 01.10.2013Published in Journal of approximation theory (01.10.2013)“…In the paper, the authors prove that the generalized sine function sinp,qx and the generalized hyperbolic sine function sinhp,qx are respectively geometrically concave and geometrically convex…”
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7
On Fejér-type inequalities for generalized trigonometrically and hyperbolic k-convex functions
ISSN: 2391-4661, 2391-4661Published: De Gruyter 07.06.2024Published in Demonstratio mathematica (07.06.2024)“… in . The considered set includes several classes of generalized convex functions from the literature…”
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α,β,ν trigonometric and hyperbolic generalized functions
ISSN: 1065-2469, 1476-8291Published: 29.10.2025Published in Integral transforms and special functions (29.10.2025)Get full text
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Modified B function basis sets with generalized hyperbolic cosine functions
ISSN: 2210-271XPublished: Elsevier B.V 01.03.2018Published in Computational and theoretical chemistry (01.03.2018)“…[Display omitted] •Efficiency of the hyperbolic cosine type B functions (BTOs-GHC) has been investigated…”
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On the Study of Starlike Functions Associated with the Generalized Sine Hyperbolic Function
ISSN: 2227-7390, 2227-7390Published: Basel MDPI AG 01.12.2023Published in Mathematics (Basel) (01.12.2023)“…Geometric function theory, a subfield of complex analysis that examines the geometrical characteristics of analytic functions, has seen a sharp increase in research in recent years…”
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11
Generalized hyperbolic functions to find soliton-like solutions for a system of coupled nonlinear Schrödinger equations
ISSN: 0375-9601, 1873-2429Published: Elsevier B.V 03.03.2008Published in Physics letters. A (03.03.2008)“…With the aid of symbolic computation, we demonstrate that the known method which is based on the new generalized hyperbolic functions and the new kinds of generalized hyperbolic function…”
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12
Some Inequalities for Generalized Hyperbolic Functions
ISSN: 2351-8227, 2605-6364, 2351-8227Published: Fez Sciendo 01.06.2020Published in Moroccan journal of pure and applied analysis (01.06.2020)“…In this paper, we establish several inequalities involving certain generalizations of the hyperbolic functions…”
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13
On Some Properties of Generalized Inverse Hyperbolic Functions
ISSN: 2357-2205, 2357-2205Published: Asia Pacific Academic 2020Published in Asia Pacific journal of mathematics (2020)“…In this paper, we provide inverses for some generalized hyperbolic functions. We also study some properties of these inverse functions…”
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14
Panaitopol-Bandila-Lascu Type Inequalities for Generalized Hyperbolic Functions
ISSN: 2456-477X, 2456-477XPublished: 07.05.2020Published in Asian Research Journal of Mathematics (07.05.2020)“…In this paper, we establish Panaitopol-Bandila-Lascu type inequalities for some generalized hyperbolic functions…”
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Hermite-Hadamard-type inequalities for generalized trigonometrically and hyperbolic ρ-convex functions in two dimension
ISSN: 2391-5455, 2391-5455Published: Warsaw De Gruyter 01.01.2024Published in Open mathematics (Warsaw, Poland) (01.01.2024)“… (resp. ) reduces to the class of functions such that is trigonometrically -convex (resp. hyperbolic -convex) on…”
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16
A Generalized Hyperbolic Distance Function for Benchmarking Performance: Estimation and Inference
ISSN: 0927-7099, 1572-9974Published: Dordrecht Springer Nature B.V 01.06.2025Published in Computational economics (01.06.2025)“…This paper describes a new multiplicative, generalized hyperbolic distance function (GHDF…”
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Inequalities for the generalized trigonometric and hyperbolic functions
ISSN: 0022-247X, 1096-0813Published: Elsevier Inc 01.01.2014Published in Journal of mathematical analysis and applications (01.01.2014)“… The generalized hyperbolic functions are defined similarly. Some classical inequalities for trigonometric and hyperbolic functions, such as Mitrinović…”
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18
Exponential type orbitals with generalized hyperbolic cosine functions for atomic systems
ISSN: 0010-4655, 1879-2944Published: Elsevier B.V 01.09.2015Published in Computer physics communications (01.09.2015)“… 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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Inequalities on generalized trigonometric and hyperbolic functions
ISSN: 0022-247X, 1096-0813Published: Elsevier Inc 15.11.2014Published in Journal of mathematical analysis and applications (15.11.2014)“…In this paper, we prove some inequalities involving the generalized trigonometric and hyperbolic functions…”
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20
Anti-synchronization of a M-Hopfield neural network with generalized hyperbolic tangent activation function
ISSN: 1951-6355, 1951-6401Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2022Published in The European physical journal. ST, Special topics (01.08.2022)“…This paper analyzes non-integer Hopfield neural network dynamics introducing the hyperbolic tangent transfer function generalized by the Mittag-Leffler function and the M-truncated derivative…”
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