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Advanced Search Results For "BESSEL functions"

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 "BESSEL functions"
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New Fractional Estimates of Simpson-Mercer Type for Twice Differentiable Mappings Pertaining to Mittag-Leffler Kernel.

Publication Type: Academic Journal

Source(s): Journal of Function Spaces. 9/5/2022, p1-14. 14p.

Abstract: The main motivation of this study is to introduce a novel auxiliary result of Simpson's formula by employing the Mercer scheme for twice differentiable functions involving the Atangana-Baleanu (AB) fractional integral operator concerned with the Mittag...

Double Integral involving the Product of the Bessel Function of the First Kind and modified Bessel Function of the Second Kind: Derivation and Evaluation.

Publication Type: Academic Journal

Source(s): European Journal of Pure & Applied Mathematics. Jul2022, Vol. 15 Issue 3, p856-863. 8p.

Abstract: A double integral whose kernel involves the Bessel functions Kv(xβ) and Jv(yα) is derived. This integral is expressed in terms of the Hurwitz-Lerch zeta function and evaluated for various values of the parameters involved. Some examples are evaluated a...

New Fractional Mercer–Ostrowski Type Inequalities with Respect to Monotone Function.

Publication Type: Academic Journal

Source(s): Mathematical Problems in Engineering. 5/18/2022, p1-14. 14p.

Abstract: This research focuses on Ostrowski type inequality in the form of classical Mercer inequality via ψ -Riemann–Liouville fractional integral (F-I) operators. Using the ψ -Riemann–Liouville F-I operator, we first develop and demonstrate a new generalized ...

Certain subclasses of univalent analytic functions defined by Bessel function.

Publication Type: Conference

Source(s): AIP Conference Proceedings. 2022, Vol. 2394 Issue 1, p1-9. 9p.

Abstract: In this paper, a new class of analytic and univalent functions in the open unit disk using Bessel function is defined. Some geometric properties likes, coefficient, distortion result, extreme point and Fekete-SzegÖ inequality are studied for this class...

Coherence Properties and Intensity Distribution of a Partially Coherent Lorentz–Gauss Beam Emerging from the Axicon.

Publication Type: Academic Journal

Source(s): International Journal of Optics. 12/31/2021, Vol. 2021, p1-11. 11p.

Abstract: The propagation of a partially Lorentz–Gauss beam in a uniform-intensity diffractive axicon is studied according to the Huygens–Fresnel principle, the Hermite–Gaussian expansion of a Lorentz function, and using the stationary phase method. We have deri...

UNIVALENT HOLOMORPHIC FUNCTIONS ASSOCIATED WITH THE BESSEL FUNCTION BASED ON SUBORDINATION STRUCTURE.

Publication Type: Academic Journal

Source(s): Surveys in Mathematics & its Applications. 2022, Vol. 17, p333-343. 11p.

Abstract: By considering the Bessel functions of the first kind of order ν and convolution structure, a new subclass of univalent holomorphic functions based of differential subordination is defined. Some geometric properties related to coefficient estimate, wei...

Starlikeness of Normalized Bessel Functions with Symmetric Points.

Publication Type: Academic Journal

Source(s): Journal of Function Spaces. 11/20/2021, p1-6. 6p.

Abstract: Bessel functions are related with the known Bessel differential equation. In this paper, we determine the radius of starlikeness for starlike functions with symmetric points involving Bessel functions of the first kind for some kinds of normalized cond...

A combined approximation method for nonlinear foam drainage equation.

Publication Type: Academic Journal

Source(s): Scientia Iranica. Transaction B, Mechanical Engineering. Jan/Feb2022, Vol. 29 Issue 1, p70-78. 9p.

Authors:

Abstract: The aim of this study is to develop a combined approximation technique to find a numerical solution to the foam drainage equation in various absorption and distillation processes. In this approach, first, discretization of time is performed with the ai...

On the matrix version of extended Bessel functions and its application to matrix differential equations.

Publication Type: Academic Journal

Source(s): Linear & Multilinear Algebra. Dec2022, Vol. 70 Issue 20, p5661-5680. 20p.

Abstract: In this paper, we focus on the extensions of the Bessel matrix function and the modified Bessel matrix function. We first introduce the extended Bessel matrix function and the extended modified Bessel matrix function of the first kind by using the exte...

Normalized generalized Bessel function and its geometric properties.

Publication Type: Academic Journal

Source(s): Journal of Inequalities & Applications. 12/15/2022, Vol. 2022 Issue 1, p1-26. 26p.

Abstract: The normalization of the generalized Bessel functions U σ , r (σ , r ∈ C) defined by U σ , r (z) = z + ∑ j = 1 ∞ (− r) j 4 j (1) j (σ) j z j + 1 was introduced, and some of its geometric properties have been presented previously. The main purpose of t...

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