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Monotonicity of Three Classes of Functions Involving Modified Bessel Functions of the Second Kind
In this paper, we determine the monotonicity of three classes of functions involving modified Bessel functions of the second kind. We also presented...
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Geometric Properties of the Products of Modified Bessel Functions of the First Kind
In this paper, the products of modified Bessel functions of the first kind are considered. Our main aim is to provide various conditions so that...
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Reflection Formulas for Order Derivatives of Bessel Functions
From new integral representations of the n -th derivative of Bessel functions with respect to the order, we derive some reflection formulas for the...
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Gaussian rule for integrals involving Bessel functions
In this work we develop the Gaussian quadrature rule for weight functions involving powers, exponentials and Bessel functions of the first kind....
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Functional Inequalities and Monotonicity Results for Modified Lommel Functions of the First Kind
We establish some monotonicity results and functional inequalities for modified Lommel functions of the first kind. In particular, we obtain new...
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The numerical algorithms of infinite integrals involving products of Bessel functions of arbitrary order
The integrals of arbitrary products of zero-order and first-order Bessel functions (double Bessel functions) are widely used in practical problems....
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Probabilistic and Analytical Aspects of the Symmetric and Generalized Kaiser–Bessel Window Function
The generalized Kaiser–Bessel window function is defined via the modified Bessel function of the first kind and arises frequently in tomographic...
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Maritime turbulence effect on the axis light intensity of a Bessel higher-order cosh-Gaussian laser beam
In this study, the axial propagation properties of the Bessel higher-cosh-Gaussian (BHChG) beam in maritime atmospheric turbulence are reported....
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Identities associated to a generalized divisor function and modified Bessel function
In his lost notebook, Ramanujan noted down many elegant identities involving divisor functions and the modified K -Bessel function, and some of them...
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Wright functions of the second kind and Whittaker functions
In the framework of higher transcendental functions, the Wright functions of the second kind have increased their relevance resulting from their...
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Introduction of Bessel higher-order cosh-Gaussian beam and its propagation through a paraxial ABCD optical system
In this paper, we introduce a new laser beam called Bessel higher-order cosh-Gaussian (BHChG) beam and analyzed its propagation properties through a...
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Comparative analysis of Bessel higher-order cosh- and sinh-Gaussian beams spreading through oceanic turbulence
The purpose of this paper is to explore the evolution behavior of two important laser features: the Bessel higher-order cosh-Gaussian beam and the...
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On the Theory of Spaces of Generalized Bessel Potentials
We define the weighted Dirichlet integral and show that this integral can be represented by a multidimensional generalized shift. The corresponding...
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A didactic historical review of the distributions using the Bessel function: some extensions with unification
Based on a didactic historical review of the distributions using the Bessel function, some new extensions with unification are shown. Their...
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Radii of Starlikeness and Convexity of the Derivatives of Bessel Function
We find the radii of starlikeness and convexity of the derivatives of Bessel function for three different kinds of normalization. The key tools in...
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Theory of generalized Bessel potential space and functional completion
The article’s objective is to present norms based on weighted Dirichlet integrals in the space of generalized Bessel potentials. The weighted...
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A study of certain class of strictly positives definite functions and applications
In this paper, we present certain class of strictly positive definite functions related to the extended Hurwitz-Lerch Zeta function, digamma function...
