Results 61 to 70 of about 1,609 (176)
“Addition” theorems for some $q$-exponential and $q$-trigonometric functions [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Forecasting Count Data With Varying Dispersion: A Latent‐Variable Approach
ABSTRACT Count data, such as product sales and disease case counts, are common in business forecasting and many areas of science. Although the Poisson distribution is the best known model for such data, its use is severely limited by its assumption that the dispersion is a fixed function of the mean, which rarely holds in real‐world scenarios.
Easton Huch +3 more
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A Completeness Theorem for Trigonometric Identities and Various Results on Exponential Functions [PDF]
All valid identities in terms of variables, real constants, the arithmetic operations of addition and multiplication, and the trigonometric operations of sine and cosine are shown to be consequences of a few familiar identities and numerical facts. We also indicate how to decide whether
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A Convergent Fourier Spectral Galerkin Method for the Fractional Camassa–Holm Equation
ABSTRACT We analyze a Fourier spectral Galerkin method for the fractional Camassa–Holm (fCH) equation involving a fractional Laplacian of exponent α∈[1,2]$$ \alpha \in \left[1,2\right] $$ with periodic boundary conditions. The semi‐discrete scheme preserves both mass and energy invariants of the fCH equation.
Mukul Dwivedi, Andreas Rupp
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Analytical calculation of a class of integrals containing exponential and trigonometric functions [PDF]
It is shown how to evaluate analytically integrals from 0 to 2 π
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Modelling medical data using the cosine generalized exponential distribution
The volume of data accessible for analysis is expanding rapidly, necessitating the development of new probability distributions to better represent each phenomenon or experiment researched.
Laban Gasper +2 more
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In this work, the exact traveling wave solutions to the (3+1)-dimensional mKdV–ZK equation and the (2+1)-dimensional Burgers equation are studied using the exp(-Φ(η))-expansion method.
Md. Nur Alam +3 more
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En este artículo introducimos el algebra de números bicomplejos como una generalizacion del campo de números complejos. Describimos como definir funciones elementales en tales algebras (polinomios y funciones exponenciales y trigonometricas) así como sus
M.E LUNA-ELIZARRARÁS +3 more
doaj
Inequalities involving fractional operators have also been an active area of research. These inequalities play a crucial role in establishing bounds, estimates, and stability conditions for solutions to fractional integrals. In this paper, firstly we establish these new identities for the case of twice differentiable functions and Caputo-Fabrizio ...
Shumin, Li +4 more
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A common definition of the exponential function is as the inverse function of the logarithmic function, which is defined as the definite integral of the rational function 1/t over the interval [1,x] with x > 0. The hyperbolic functions (hyperbolic sine, cosine, tangent, etc.) are next defined in terms of the exponential function.
Ioakimidis, Nikolaos +1 more
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