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Inequalities for integrals of modified Bessel functions and expressions involving them
Journal of Mathematical Analysis and Applications, 2018 Simple inequalities are established for some integrals involving the modified Bessel functions of the first and second kind. In most cases, we show that we obtain the best possible constant or that our bounds are tight in certain limits.
Gaunt, Robert E.
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, 2015 This paper derives new integral representations for products of two parabolic cylinder functions. In particular, expressions are obtained for D_{nu}(x)D_{mu}(y), with x>0 and y>0, that allow for different orders and arguments in the two parabolic ...
Veestraeten, Dirk
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Functional inequalities involving modified Struve functions [PDF]
, 2013 In this paper our aim is to prove some monotonicity and convexity results for the modified Struve function of the second kind by using its integral representation.
Baricz, Árpád, Pogány, Tibor K.
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Bounds for modified Struve functions of the first kind and their ratios [PDF]
, 2018 We obtain a simple two-sided inequality for the ratio $\mathbf{L}_\nu(x)/\mathbf{L}_{\nu-1}(x)$ in terms of the ratio $I_\nu(x)/I_{\nu-1}(x)$, where $\mathbf{L}_\nu(x)$ is the modified Struve function of the first kind and $I_\nu(x)$ is the modified ...
Gaunt, Robert E.
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SOME INEQUALITIES AND ABSOLUTE MONOTONICITY FOR MODIFIED BESSEL FUNCTIONS OF THE FIRST KIND
Communications of the Korean Mathematical Society, 2016 Abstract. By employing a refined version of the P´olya type integralinequality and other techniques, the authors establish some inequalitiesand absolute monotonicity for modified Bessel functions of the first kindwith nonnegative integer order. 1. Main resultsIt is well known that modified Bessel functions of the first kind I ±ν (z) aresolutions of the ...
Bai-Ni Guo, Qi, Feng
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Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications [PDF]
Mathematical Inequalities & Applications, 2018 Let $I_{v}\left( x\right) $ be modified Bessel functions of the first kind. We prove the monotonicity property of the function $x\mapsto I_{u}\left( x\right) I_{v}\left( x\right) /I_{\left( u+v\right) /2}\left( x\right) ^{2}$ on $\left( 0,\infty \right) $.
Yang, Zhen-Hang, Zheng, Shen-Zhou
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Generalised partition functions: Inferences on phase space distributions [PDF]
, 2016 The statistical mechanical partition function can be used to construct different forms of phase space distributions not restricted to the Gibbs-Boltzmann factor.
Baumjohann, W., Treumann, R. A.
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Functional inequalities involving Bessel and modified Bessel functions of the first kind
Expositiones Mathematicae, 2008 Since the sine and cosine functions and the hyperbolic sine and cosine functions are particular cases of Bessel and modifed Bessel functions, the author extends the inequality \(\cosh x-1\), where \(\Gamma\) is Euler gamma function and \(I_{p}(x)\) is the modified Bessel function of first kind. Some properties and inequalities satisfied by \(G_{p}(x)\)
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IEEE Access, 2018 In this paper, a polarization vector distance based signal extraction (PVD-SE) method for full-duplex primary users (FD-PUs) oriented cognitive radio networks (CRN) is studied. The problem of primary signal extraction in FD-PUs oriented CRN boils down to
Dongming Li, Dengyin Zhang, Xuejian Zhao
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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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