IEEE

Green's function solution of hyperbolic heat equation suitable for thermal analysis of electronic nanostructures

Abstract: This paper presents the detailed analysis of a Green's function solution of the hyperbolic heat equation, which is derived for a thin one-dimensional benchmark structure heated on one side ...
Scientific Research Publishing

A. Stakhov and S. Aranson, “Hyperbolic Fibonacci and Lucas Functions, ‘Golden’ Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem,” Applied ...

ABSTRACT: Recently the new unique classes of hyperbolic functions-hyperbolic Fibonacci functions based on the “golden ratio”, and hyperbolic Fibonacci l-functions based on the “metallic proportions” ...
Scientific Research Publishing

Cevikel, A.C. and Bekir, A. (2022) Assorted Hyperbolic and Trigonometric Function Solutions of Fractional Equations with Conformable Derivative in Shallow Water. International ...

ABSTRACT: In this paper, we consider the generalized Korteweg-de-Vries (KdV) equations which are remarkable models of the water waves mechanics, the shallow water waves, the quantum mechanics, the ion ...
JSTOR Daily

DERIVATIVES OF UNIVALENT FUNCTIONS AND THE HYPERBOLIC METRIC

Let f be an analytic and univalent function on a simply connected domain D, and let λD be the hyperbolic metric on D. We prove the sharp inequality $\left| {\frac{{{f^n}\left( w \right)}}{{f\left( w ...
JSTOR Daily

MACLAURIN’S SERIES EXPANSIONS FOR POSITIVE INTEGER POWERS OF INVERSE (HYPERBOLIC) SINE AND TANGENT FUNCTIONS, CLOSED-FORM FORMULA OF SPECIFIC PARTIAL ...

In the paper, the authors find series expansions and identities for positive integer powers of inverse (hyperbolic) sine and tangent, for composite of incomplete gamma function with inverse hyperbolic ...