Results 61 to 70 of about 496,864 (207)
On polynomials connected to powers of Bessel functions
, 2013 The series expansion of a power of the modified Bessel function of the first kind is studied. This expansion involves a family of polynomials introduced by C. Bender et al. New results on these polynomials established here include recurrences in terms of
Moll, Victor H., Vignat, C.
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Table of Modified Bessel Functions
Mathematics of Computation, 1970 Abstract : The report contains 15 place tables of the modified Bessel Functions I sub zero (x), I sub one (x), ((e to the power minus x)I sub zero (x)), ((e to the power minus x) I sub one (x)), for x = 0(001)10.
J. W. W. +2 more
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Mathieu functions and its useful approximation for elliptical waveguides
EPJ Web of Conferences, 2017 The standard form of the Mathieu differential equation is d2ydη2+(a−2qcos2η)y=0 where a and q are real parameters and q > 0. In this paper we obtain closed formula for the generic term of expansions of modified Mathieu functions in terms of Bessel and ...
Pillay Shamini, Kumar Deepak
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Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments [PDF]
, 2004 We describe a variety of methods to compute the functions $K_{ia}(x)$, $L_{ia}(x)$ and their derivatives for real $a$ and positive $x$. These functions are numerically satisfactory independent solutions of the differential equation $x^2 w'' +x w' +(a^2 ...
Gil, Amparo +2 more
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Inequalities for the modified k-Bessel function
International Journal of Analysis and Applications, 2017 The article considers the generalized k-Bessel functions and represents it as Wright functions. Then we study the monotonicity properties of the ratio of two different orders k- Bessel functions, and the ratio of the k-Bessel and the m-Bessel functions. The log-convexity with respect to the order of the k-Bessel also given.
Saiful Rahman Mondal +1 more
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Radial Covariance Functions Motivated by Spatial Random Field Models with Local Interactions
, 2014 We derive explicit expressions for a family of radially symmetric, non-differentiable, Spartan covariance functions in $\mathbb{R}^2$ that involve the modified Bessel function of the second kind. In addition to the characteristic length and the amplitude
Hristopulos, Dionissios T.
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Properties of the Tur\'anian of modified Bessel functions [PDF]
, 2016 In this paper some new series and integral representations for the Tur\'anian of modified Bessel functions of the first kind are given, which give new asymptotic expansions and tight bounds for the Tur\'an determinant in the question. It is shown that in
Istv'an MezHo, 'Arp'ad Baricz
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Discrete index transforms with Bessel and modified Bessel functions
Analysis, 2022 Abstract Discrete analogues of the index transforms, involving Bessel and the modified Bessel functions, are introduced and investigated. The corresponding inversion theorems for suitable classes of functions and sequences are established.
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On Parameter Differentiation for Integral Representations of Associated Legendre Functions
Symmetry, Integrability and Geometry: Methods and Applications, 2011 For integral representations of associated Legendre functions in terms of modified Bessel functions, we establish justification for differentiation under the integral sign with respect to parameters.
Howard S. Cohl
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Couple on a rotating permeable sphere in a couple stress fluid
Ain Shams Engineering Journal, 2018 In this paper, the flow generated by the slow steady rotation of a permeable sphere with thin surface about its axis of symmetry in an incompressible couple stress fluid which is otherwise at rest is studied.
P. Aparna +2 more
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