Results 61 to 70 of about 80,976 (233)
The velocity field and shear stress for unsteady flow of a second grade fluid with fractional derivatives through an infinite long circular cylinder are evaluated.
Nauman Raza +4 more
doaj +1 more source
On generalized Bessel–Maitland function
An approach to the generalized Bessel–Maitland function is proposed in the present paper. It is denoted by J ν , λ μ $\mathcal{J}_{\nu , \lambda }^{\mu }$ , where μ > 0 $\mu >0$ and λ , ν ∈ C $\lambda ,\nu \in \mathbb{C\ }$ get increasing interest from ...
Hanaa M. Zayed
doaj +1 more source
Some New Bullen-Type Inequalities Obtained via Fractional Integral Operators
In this paper, we establish a new auxiliary identity of the Bullen type for twice-differentiable functions in terms of fractional integral operators.
Asfand Fahad +4 more
doaj +1 more source
On polynomials connected to powers of Bessel functions
The series expansion of a power of the modified Bessel function of the first kind is studied. This expansion involves a family of polynomials introduced by C. Bender et al. New results on these polynomials established here include recurrences in terms of
Moll, Victor H., Vignat, C.
core +2 more sources
Metalens‐Enabled Double‐Helix Point Spread Function for Multifunctional Imaging
A single metalens is employed to generate a double‐helix point spread function (DH‐PSF). At the design wavelength, the PSF rotation angle varies linearly with depth, while the lobe spacing follows an inverse dependence on axial position. At a fixed depth, the lobe spacing further exhibits a linear dependence on wavelength due to dispersion.
Xuanyu Wu +8 more
wiley +1 more source
Certain Aspects of Univalent Function with Negative Coefficients Defined by Bessel Function
Key words: In recent years, applications of Bessel functions have been effectively used in the modelling of chemical engineering processes and theory of univalent functions.In this paper, we study a new class of analytic and univalent functions with ...
Chellakutti Ramachandran +2 more
doaj +1 more source
The Modified q-Bessel Functions and the q-Bessel-Macdonald Functions
We define a q-analog of the modified Bessel and Bessel-Macdonald functions. As for the q-Bessel functions of Jackson there is a couple of functions of the both kind. They are arisen in the Harmonic analysis on quantum symmetric spaces similarly to their classical counterpart. Their definition is based on the power expansions.
Olshanetsky, M. A., Rogov, V. -B. K.
openaire +2 more sources
Hidden Markov graphical models with state‐dependent generalized hyperbolic distributions
Abstract In this article, we develop a novel hidden Markov graphical model to investigate time‐varying interconnectedness between different financial markets. To identify conditional correlation structures under varying market conditions and accommodate shape features embedded in financial time series, we rely upon the generalized hyperbolic family of ...
Beatrice Foroni +2 more
wiley +1 more source
Une méthode de calcul des fonctions In et Kn (fonctions de Bessel modifiées de première et deuxième espèce) à arguments complexes est présentée. Cette méthode conçue pour des ordinateurs vectoriels permet un gain notable de temps de calcul par rapport ...
Quiblier J.
doaj +1 more source
The objective of this article is to incorporate the concept of the Ostrowski inequality with the Atangana–Baleanu fractional integral operator. A novel integral identity for twice-differentiable functions is established after a rigorous investigation of ...
Soubhagya Kumar Sahoo +4 more
doaj +1 more source

