[PDF] Top 20 On approximating the modified Bessel function of the second kind
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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] ... See full document
8
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 ... See full document
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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 ... See full document
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Ricci Curvature of Noncommutative Three Tori, Entropy, and Second Quantization
... In this paper we show that by incorporating chemical potentials one can extend the formalism of spectral action principle to both Bosonic and Fermionic second quantization. In fact we show that the von Neumann ... See full document
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A Modified Degenerate Kernel Method for the System of Fredholm Integral Equations of the Second Kind
... Remark 3.1. The nonlinear algebraic systems denoted by Eqs. (2.10) and (3.3) are nontrivial systems to solve, and usually some variant of Newton’s method is used to find an approximating of solution. A major ... See full document
11
sumintegrals
... Its general solution is a linear combination of the modified Bessel functions of the first and second kinds... evaluate the propagator at the origin.[r] ... See full document
6
Solving nonlinear Volterra integro-differential equation by using Legendre polynomial approximations
... In this paper, we construct a new iterative method for solving nonlinear Volterra Integral Equation of the second kind, by approximating the Legendre polynomial basis. Error analysis is worked using ... See full document
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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
... the function , the class of polynomials and the multivariable Gimel ...the function occurring in the integrand involve the product of factors of the form ... See full document
7
The logarithmic concavity of modified Bessel functions of the first kind and its related functions
... modified Bessel function of the first kind is log-concave on (0, ...the function is log-concave just on a specific interval determined by parameter ... See full document
14
On some Turán type inequalities
... where Jν x and Yν x denote the Bessel functions of the first and the second kind, re , ν ≥ 0, k = 1,2,..., spectively, while the corresponding results for the positive zeros cνk of the [r] ... See full document
6
Neumann Functions and Its Application for Finding The Solution to the Schrödinger’s equation in a Cylindrical Well
... to second order differential equation that arise in many diverse ...the Bessel functions through use of a series solution to differential equation, develops the different kinds of Bessel functions, ... See full document
6
Modified Algorithm for Solving Linear Integro Differential Equations of the Second Kind
... Improved Bessel collocation method [4], the Legendre wavelets method [5], the finite element method [6], the Tau method [7], Euler polynomials [8], Sherman-Morrison formula [9], the Adomian’s decomposition method ... See full document
10
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 ... See full document
15
K Bessel functions associated to a 3 rank Jordan algebra
... of second-order partial differential equations and proved the uniqueness (up to multiplicative constant) of the solution which is analytic at ...the Bessel-Muirhead system in general rank remains an open ... See full document
8
Certain inequalities for the modified Bessel type function
... studied by Glaeske et al. [in J. Comput. Appl. Math. 118(1–2):151–168, 2000] as the kernel of an integral transformation that modifies Krätzel’s integral transformation. The inequalities obtained are closely related to ... See full document
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Monotonicity of the ratio of modified Bessel functions of the first kind with applications
... Yang, Zh-H., Zheng, Sh-Zh.: Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications.. Thiruvenkatachar, V.R., Nanjundiah, T.S.: Inequalities c[r] ... See full document
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Investigation of the Characteristics of the Zeros of the Riemann Zeta Function in the Critical Strip Using Implicit Function Properties of the Real and Imaginary Components of the Dirichlet Eta Function
... zeta function (of s) in the critical strip by using the Dirichlet eta function, which has the same ...the function describing the value of the real component when the real and imaginary components ... See full document
8
Inequalities on an extended Bessel function
... of Bessel, modified Bessel, spherical Bessel, and modified spherical Bessel ...the Bessel function of the first kind of order p when b = c = 1, and the modified Bessel ... See full document
22
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 ... See full document
6
On approximating the error function
... has numerous applications in probability, statistics, and partial differential equations the- ory. Recently, the bounds for the error function have attracted the attention of many re- searchers. In particular, many ... See full document
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