Bessel function
Inequalities on an extended Bessel function
... the Bessel function and other special functions are of continued interest to the wider scientific ...The Bessel function and its variations have gone through several generalizations, see, for ...
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Inequalities related to the third Jackson q Bessel function of order zero
... In Bettaibi and Bouzeffour (J. Math. Anal. Appl. 342:1203-1219, 2008), some properties of the third Jackson q-Bessel function of order zero were established. This paper is devoted to studying the ...
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Estimation of certain integrals with extended multi-index Bessel function
... The Bessel function has gained importance and popularity due to its applications in the problem of wave propagation, cylindrical coordinate system, heat conduction in cylindrical object and static potential ...
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ADDITION THEOREM AND CERTAIN PROPERTIES OF k-BESSEL FUNCTION
... ticularly, Bessel functions and modified Bessel functions, are central to the electromagnetic wave transmission, analysis of microwave and optical transmission in waveguides, includ- ing coaxial and fiber, ...
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A Study of Unified Finite Integrals Involving Generalized Modified Bessel Function of Third Kind, (λŋµ,ʋ) General Class of Polynomials and the Multivariable Gimel-Function
... First we express the modified integral Bessel function of the third kind in terms of the H-function of one variable [4, p. 155, eq. (2.6)] and the geberalized polynomial with the help of (1.5). Now, ...
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The Application of Bessel Function in the Definite Solution Problem of Cylindrical Coordinate System
... of Bessel functions. In this paper, we propose a method combining Bessel function to solve homogeneous definite solution problem on the cylindrical coordinate system and give the algorithm of solving ...
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Bessel Function and Damped Simple Harmonic Motion
... m . That means they get smaller and the periods become larger as time increases. Figure 2 shows the results of two methods. For these results the small time intervals (less than the local period) have been used. This is ...
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Graphical and Database Analysis of New Sequence of Functions Involving the Bessel Function with MatLab Implementation
... involving the Bessel function of first kind J x . By using operational technique, some interesting generating relations and summation formulas are obtained in sections 2 and 3. The remarkable thing of ...
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Distributions of products involving the type II Bessel function random variable
... In the present paper we shall study the distribution of XY as well as of |XY| when X and Y are independent r.v.s belonging to different families of distribu- tions. Here we assume that the r.v. X follows the type II ...
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On Integral Representation of First Kind Bessel Function
... kind Bessel functions the authors find on the widely known website ...of Bessel function of the first kind (such that is not contained on the above mentioned ...
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Generalized q Bessel function and its properties
... q-Bessel function, which is a generalization of the known q-Bessel functions of kinds 1, 2, 3, and the new q-analogy of the modified Bessel function presented in (Mansour and ...
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On approximating the modified Bessel function of the first kind and Toader Qi mean
... It follows from Lemma of [] that the function [cosh(pt)] /(p ) is strictly decreasing with respect to p ∈ (, ∞) for any fixed t > , hence we only need to prove that inequality (.) holds for all t ...
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Inequalities for the Modified k-Bessel Function
... Abstract. The article considers the generalized k-Bessel functions and represents it as Wright func- tions. Then we study the monotonicity properties of the ratio of two different orders k- Bessel ...
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A note on Bessel function dual integral equation with weight function
... integral equations involving first kind Bessel functions of different orders and a particular weight function to dual integral equations with trigonometric sine function as kernels in cl[r] ...
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The roots of the third Jackson q Bessel function
... give lower and upper bounds for these zeros. The roots of these functions are of interest for several reasons. Firstly, it is intrinsically interesting to provide information about the roots of a function such as ...
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On approximating the modified Bessel function of the second kind
... Author details 1 School of Mathematics and Computation Sciences, Hunan City University, Yiyang, 413000, China.. 2 Customer Service Center, State Grid Zhejiang Electric Power Research Ins[r] ...
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A Direct Derivation of the Exact Fisher Information Matrix for Bivariate Bessel Distribution of Type I
... the Bessel functions in probability distribu- tions can be trace back to ...univariate Bessel distribution in creating a robust alterna- tive to the normal distribution is investigated by ...ivariate ...
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On dual integral equations with Hankel kernel and an arbitrary weight function
... Noble, The solution of Bessel function dual integral equations multiplying-factor method, Proc.. Cambridge Phil Soc.[r] ...
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Shape, flapping and flexion: wing and fin design for forward flight
... √−1 Bessel function of order n modified Bessel functions half chord length average chord length half chord length at various positions along the span half chord length at wing base numbe[r] ...
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Correction and Supplement to Approach for a Proof of Riemann Hypothesis by Second Mean Value Theorem
... The piece-wise constant Omega functions with equal interval lengths form a set of measure zero within the set of all piece-wise constant Omega functions and, moreover, within all Omega functions admitted by the second ...
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