Hyperbolic Functions’ Synthesizers

2013 ◽  
pp. 95-127
Author(s):  
Cosmin Radu Popa
Keyword(s):  
Hyperbolic Functions

Polar Angle in Terms of Jacobi Hyperbolic Functions

2012 ◽  
Vol 3 (5) ◽  
pp. 105-106
Author(s):  
Parveen Bawa ◽  
Keyword(s):  
Polar Angle ◽  
Hyperbolic Functions

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

A variety of wave amplitudes for the conformable fractional (2 + 1)-dimensional Ito equation

2021 ◽  
pp. 2150254
Author(s):  
Emad A. Az-Zo’bi ◽  
Wael A. Alzoubi ◽  
Lanre Akinyemi ◽  
Mehmet Şenol ◽  
Basem S. Masaedeh
Keyword(s):  
Mapping Method ◽  
Jacobi Elliptic Function ◽  
Conformable Derivative ◽  
Hyperbolic Functions ◽  
Fractional Complex Transform ◽  
New Exact Solutions ◽  
Higher Dimensional ◽  
Fractional Orders ◽  
Ito Equation ◽  
Ordinary Derivative

The conformable derivative and adequate fractional complex transform are implemented to discuss the fractional higher-dimensional Ito equation analytically. The Jacobi elliptic function method and Riccati equation mapping method are successfully used for this purpose. New exact solutions in terms of linear, rational, periodic and hyperbolic functions for the wave amplitude are derived. The obtained solutions are entirely new and can be considered as a generalization of the existing results in the ordinary derivative case. Numerical simulations of some obtained solutions with special choices of free constants and various fractional orders are displayed.

Large Hyperbolic Functions Computed by Fission

1952 ◽  
Vol 117 (1) ◽  
pp. 131-142
Author(s):  
F. T. Llewellyn
Keyword(s):  
Hyperbolic Functions
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