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Bessel function of first kind

On Integral Representation of First Kind Bessel Function

On Integral Representation of First Kind Bessel Function

... involving first 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 ...

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Integral Representation of a Series Which One Includes the Mathieu A-Series

Integral Representation of a Series Which One Includes the Mathieu A-Series

... Bessel function of first kind, Dirichlet series, Generalized Mathieu series, Gauß hypergeometric function, Laplace integral, Mathieu a-series.. 1..[r] ...

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On approximating the modified Bessel function of the first kind and Toader Qi mean

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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Product Bessel Distributions of the First and Second Kinds

Product Bessel Distributions of the First and Second Kinds

... Univariate Bessel function distributions have been used to model signal output processed by a radar receiver under various sets of conditions (see, ...univariate Bessel function distributions. ...

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Lévy–Khintchine Representation of Toader–Qi Mean

Lévy–Khintchine Representation of Toader–Qi Mean

... [41] Z.-H. Yang and Y.-M. Chu, On approximating the modified Bessel function of the first kind and Toader-Qi mean, J. Inequal. Appl. 2016, 2016:40, 21 pages; Available online at ...

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A note on Bessel function dual integral equation with weight function

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 logarithmic concavity of modified Bessel functions of the first kind and its related functions

The logarithmic concavity of modified Bessel functions of the first kind and its related functions

... This research demonstrates the log-convexity and log-concavity of the modified Bessel function of the first kind and the related functions. The method of coefficient is used to verify such properties. ...

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Neumann Functions and Its Application for Finding  The Solution to the Schrödinger’s equation in a  Cylindrical Well

Neumann Functions and Its Application for Finding The Solution to the Schrödinger’s equation in a Cylindrical Well

... Bessel functions of the first and second kind are the most commonly found forms of the Bessel function in applications. Many applications in hydrodynamics, pumps, turbines, hydropower, ...

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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

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 ...

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A modified Bessel distribution of the second kind

A modified Bessel distribution of the second kind

... Univariate Bessel function distributions are rapidly becoming distributions of first choice whenever “something” with heavier than Gaussian tails is observed in the ...

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K Bessel functions associated to a 3 rank Jordan algebra

K Bessel functions associated to a 3 rank Jordan algebra

... the Bessel-Muirhead system in general rank remains an open ...one-variable Bessel functions. On the other hand, the K -Bessel function of matrix argument was de- fined earlier in Herz’s paper ...

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CONSTRUCTION OF GREEN FUNCTION FOR BESSEL-HELMHOLTZ EQUATION

CONSTRUCTION OF GREEN FUNCTION FOR BESSEL-HELMHOLTZ EQUATION

... The mentioned equations are often encountered in applications, for exam- ple in axial symmetry problems of continuum mechanics. One of the intensely developing directions is the investigation of elliptic equations with ...

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Certain inequalities for the modified Bessel type function

Certain inequalities for the modified Bessel type function

... the integral on the right-hand side of (23) converges and can be expressed in terms of the generalized Hurwitz–Lerch zeta function with the help of the integral representation (11) with x = 1. Condition (24) can ...

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The roots of the third Jackson q Bessel function

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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Generalized q Bessel function and its properties

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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Bessel Function and Damped Simple Harmonic Motion

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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Barnes type Daehee of the first kind and poly Cauchy of the first kind mixed type polynomials

Barnes type Daehee of the first kind and poly Cauchy of the first kind mixed type polynomials

... In this paper, by considering Barnes-type Daehee polynomials of the first kind as well as poly-Cauchy polynomials of the first kind, we define and investigate the mixed-type poly- nomials of these polynomials. ...

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Integrated MFCC-FBCC features for dialect Identification in Malayalam language

Integrated MFCC-FBCC features for dialect Identification in Malayalam language

... basis function rather than sinusoidals. Bessel functions have damped sinusoidals as basis function, so it is the most effective way for representing speech ...work, bessel features like ...

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A New Narrowband Phase Modulation Mathematical Identity

A New Narrowband Phase Modulation Mathematical Identity

... the Bessel function. Bessel functions are extensively used in mathematical physics [1,2], elec- tromagnetic wave propagation and scattering [3,4], and communication system theory ...

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36000 91002 HP2000 contribLibrDoc Vol2 Aug76 pdf

36000 91002 HP2000 contribLibrDoc Vol2 Aug76 pdf

... BASE CALCULATOR CALCULATES BESSEL FUNCTION OF FIRST ~IND CALCULATOR PROGRAM WITH OPTIONAL PLOTTER OUTPUT COMPUTES VALUE OF COMPLEX DETERMINANT SOLVES SIMULTANEOUS LINEAR EQUATIONS LEAST-[r] ...

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