Bessel function of the first kind
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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As an application of the theory, a singular Cauchy problem is for- mulated and solved in terms of the Bessel function of the first kind and Gauss hypergeometric function
... This paper deals with a new generalization of analytical functions. The p-wave functions are introduced and studied. We consider their the- oretical aspect and applications. Some integral representations of x k y l - ...
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On approximating the modified Bessel function of the first kind and Toader Qi mean
... 3. Vamanamurthy, MK, Vuorinen, M: Inequalities for means. J. Math. Anal. Appl. 183(1), 155-166 (1994) 4. Alzer, H: Sharp inequalities for the complete elliptic integral of the first kind. Math. Proc. Camb. Philos. ...
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Bessel Functions of the First and Second Kind
... 2. Bessel Functions a) First Kind: J ν (x) in the solution to Bessel’s equation is referred to as a Bessel function of the first ...Second Kind: Y ν (x) in the solution to ...
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The logarithmic concavity of modified Bessel functions of the first kind and its related functions
... modified Bessel function of the first kind and the related ...modified Bessel function of the first kind I ν is log-concave in (0, ∞) given ν > ...
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Product Bessel Distributions of the First and Second Kinds
... new Bessel function distribution is introduced by taking the product of a Bessel func- tion pdf of the first kind and a Bessel function pdf of the second ...
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Graphical and Database Analysis of New Sequence of Functions Involving the Bessel Function with MatLab Implementation
... ABSTRACT The aim of the present paper is an attempt to introduce a new sequence of functions V n , x a k s ; , , / n 0,1, 2,... , which involving the Bessel function of first ...
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Modificed Bessel Function Of Second Kind Derivite
... modificed bessel of second kind and imaginary parts of second order elliptic constant coefficient pdes with respect to our attention to determine temperament and the hankel ...modificed function of ...
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A modified Bessel distribution of the second kind
... MODIFIED BESSEL DISTRIBUTION OF THE SECOND KIND Saralees Nadarajah ...Univariate Bessel function distributions are rapidly becoming distributions of first choice whenever “something” ...
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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
... paper,we first evaluate a unified and general finite integral whose integrand involves the product of the function , the class of polynomials and the multivariable Gimel ...the function occurring in ...
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On approximating the modified Bessel function of the second kind
... This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, d[r] ...
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Monotonicity of the ratio of modified Bessel functions of the first kind with applications
... 17. Yang, Zh-H., Zheng, Sh-Zh.: The monotonicity and convexity for the ratios of modified Bessel functions of the second kind and applications. Proc. Am. Math. Soc. 145, 2943–2958 (2017) 18. Yang, Zh-H., ...
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Inequalities on an extended Bessel function
... Apparently not much has been investigated for the extended Bessel function given by (1). Presumably such extensions would readily follow from recent results along similar used arguments, albeit involving ...
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Transformation Formulas for the First Kind of Lauricella’s Function of Several Variables
... 4. Conclusion We conclude our present investigation by remarking that the main results established in this paper can be ap- plied to obtain a large number of transformation formulas for the first kind of ...
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A NOTE ON BESSEL FUNCTION DUAL INTEGRAL
... An elementary procedure based on Sonine’s integrals has been used to reduce dual integral equations with Bessel functions of different orders as kernels and an arbitrary weight function [r] ...
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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
... An elementary procedure based on Sonine’s integrals has been used to reduce dual integral equations with Bessel functions of different orders as kernels and an arbitrary weight function [r] ...
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Bessel Function and Damped Simple Harmonic Motion
... of Bessel and sinusoidal functions and their similarity has been inter- preted by these ...shows Bessel functions behave like sinusoidal functions with decreasing amplitude and varying ...
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CONSTRUCTION OF GREEN FUNCTION FOR BESSEL-HELMHOLTZ EQUATION
... topics of the modern theory of partial differential equations. The necessity of study of such equations is stipulated by their numerical applications in gas dynamics, theory of shells, theory of elasticity, continuum ...
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Certain inequalities for the modified Bessel type function
... zeta function and complementary incomplete gamma ...modified Bessel function of the second kind K ν (x) and Mills’ ratio M(x) as worthwhile applications of our main ...
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