نتایج جستجو برای: hyperbolic tangent functions
تعداد نتایج: 520323 فیلتر نتایج به سال:
In this work we provide a new short proof of closed formulas for the n-th derivative of the cotangent and secant functions using simple operations in the context of the Zeon algebra. Our main ingredients in the proof comprise a representation of the ordinary derivative as an integration over the Zeon algebra, a representation of the Stirling numbers of the second kind as a Berezin integral, and...
In this study, by making the use of q-analogous hyperbolic tangent function and a Sălăgean q-differential operator, new class q-starlike functions is introduced. The prime contribution study covers derivation sharp coefficient bounds in open unit disk U, especially first three bounds, Fekete–Szego type functional, upper second- third-order Hankel determinant for to class. We also Zalcman genera...
In the present analysis, we have modeled the governing equations of a two dimensional hyperbolic tangent fluid model. Using the assumption of long wavelength and low Reynolds number, the governing equations of hyperbolic tangent fluid for an asymmetric channel have been solved using the regular perturbation method. The expression for pressure rise has been calculated using numerical integration...
Since my graduate work and throughout my postdoctoral career, I have been interested in hyperbolic dynamical systems, more precisely Anosov flows. Roughly speaking, a smooth flow ft on a closed Riemannian manifold M is called Anosov if the tangent bundle of M splits into three continuous sub-bundles, TM = E⊕E⊕E, such that E is tangent to the flow direction, E is exponentially contracted and E i...
The present paper focuses on numerical study for an inclined magneto-hydrodynamic effect on free convection flow of a tangent hyperbolic nanofluid embedded with Carbon nanotubes (CNTs) over a stretching surface taking velocity and thermal slip into account. Two types of nanoparticles are considered for the study; they are single and multi-walled nanotubes. The presentation of single-parameter g...
In this paper, using a hyperbolic tangent function tanhðbxÞ, b > 0, we develop a non-iterative method to estimate a root of an equation f(x) = 0. The problem of finding root is transformed to evaluating an integral, and thus we need not take account of choosing initial guess. The larger the value of b, the better the approximation to the root. Alternatively we employ the signum function sgnðxÞ ...
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