scholarly journals Exact Lookup Tables for the Evaluation of Trigonometric and Hyperbolic Functions

2017 ◽  
Vol 66 (12) ◽  
pp. 2058-2071 ◽  
Author(s):  
Hugues de Lassus Saint-Genies ◽  
David Defour ◽  
Guillaume Revy
Keyword(s):  
Hyperbolic Functions ◽  
Lookup Tables

Energy efficient algorithm for lookup-tables on mobile devices

2016 ◽  
Vol 2016 (7) ◽  
pp. 1-6
Author(s):  
Sergey Makov ◽  
Vladimir Frantc ◽  
Viacheslav Voronin ◽  
Igor Shrayfel ◽  
Vadim Dubovskov ◽  
...  
Keyword(s):  
Mobile Devices ◽  
Efficient Algorithm ◽  
Energy Efficient ◽  
Lookup Tables

On the improvement of q-deformed hyperbolic functions

2021 ◽  
Author(s):  
J. Morales ◽  
J. J. Peña ◽  
J. García-Ravelo
Keyword(s):  
Hyperbolic Functions

scholarly journals Application of the Efros Theorem to the Function Represented by the Inverse Laplace Transform of s−μ exp(−sν)

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 354
Author(s):  
Alexander Apelblat ◽  
Francesco Mainardi
Keyword(s):  
Laplace Transform ◽  
Operational Calculus ◽  
Inverse Laplace Transform ◽  
Elementary Functions ◽  
Hyperbolic Functions ◽  
Error Functions ◽  
Convolution Integrals ◽  
Special Case ◽  
Integral Identities ◽  
Finite Integrals

Using a special case of the Efros theorem which was derived by Wlodarski, and operational calculus, it was possible to derive many infinite integrals, finite integrals and integral identities for the function represented by the inverse Laplace transform. The integral identities are mainly in terms of convolution integrals with the Mittag–Leffler and Volterra functions. The integrands of determined integrals include elementary functions (power, exponential, logarithmic, trigonometric and hyperbolic functions) and the error functions, the Mittag–Leffler functions and the Volterra functions. Some properties of the inverse Laplace transform of s−μexp(−sν) with μ≥0 and 0<ν<1 are presented.

The q-pell hyperbolic functions

2012 ◽  
Author(s):  
A. Güncan ◽  
Ş. Akduman
Keyword(s):  
Hyperbolic Functions
Sign in / Sign up

Export Citation Format

Share Document