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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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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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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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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...
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Ferrers Functions of Arbitrary Degree and Order and Related Functions
Numerous novel integral and series representations for Ferrers functions of the first kind (associated Legendre functions on the cut) of arbitrary...
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Some Formulas for Ordinary and Hyper Bessel–Clifford Functions Related to the Proper Lorentz Group
In this paper, we show that the matrix elements of some Lorentz group representation operators and bases transform operators acting in the...
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Convexity and concavity of the modified Bessel functions of the first kind with respect to Hölder means
In this paper, we establish a necessary and sufficient condition for the convexity and concavity of the modified Bessel functions of the first kind...
