Results 31 to 40 of about 54,823 (167)
On the cumulative distribution function of the variance-gamma distribution [PDF]
, 2023 We obtain exact formulas for the cumulative distribution function of the variance-gamma distribution, as infinite series involving the modified Bessel function of the second kind and the modified Lommel function of the first kind. From these formulas, we
Gaunt, Robert E.
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Infinite divisibility of solutions to some self-similar integro-differential equations and exponential functionals of L\'evy processes [PDF]
, 2009 We provide the increasing eigenfunctions associated to spectrally negative self-similar Feller semigroups, which have been introduced by Lamperti. These eigenfunctions are expressed in terms of a new family of power series which includes, for instance ...
Patie, Pierre
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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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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020 In the study of direct and inverse problems of finding the right-hand side of degenerate equations of mixed type with different boundary conditions, the problem arises of establishing asymptotic estimates for the differences of the products of ...
Kamil Basirovich Sabitov
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On determinants of modified Bessel functions and entire solutions of double confluent Heun equations [PDF]
, 2016 We investigate the question on existence of entire solutions of well-known linear differential equations that are linearizations of nonlinear equations modeling the Josephson effect in superconductivity. We consider the modified Bessel functions $I_j(x)$
Buchstaber, Victor M. +1 more
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European Journal of Pure and Applied Mathematics, 2022 A double integral whose kernel involves the Bessel functions Kv(xβ) and Jv(yα) is derived. This integral is expressed in terms of the Hurwitz-Lerch zeta function and evaluated for various values of the parameters involved. Some examples are evaluated and expressed in terms of fundamental constants. All the results in this work are new.
Robert Reynolds, Allan Stauffer
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CERTAIN UNIFIED INTEGRAL FORMULAS INVOLVING THE GENERALIZED MODIFIED k-BESSEL FUNCTION OF FIRST KIND [PDF]
Communications of the Korean Mathematical Society, 2017 Generalized integral formulas involving the generalized modified k-Bessel function $J_{k, }^{c, , }\left( z\right) $ of first kind are expressed in terms generalized $k-$Wright functions.
Nisar, K. S., Mondal, S. R.
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Approximation of CDF of Non-Central Chi-Square Distribution by Mean-Value Theorems for Integrals
Mathematics, 2021 The cumulative distribution function of the non-central chi-square distribution χn′2(λ) of n degrees of freedom possesses an integral representation. Here we rewrite this integral in terms of a lower incomplete gamma function applying two of the second ...
Árpád Baricz +2 more
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Results in Physics, 2019 We have calculated in a closed form solution, in terms of modified Bessel function the first kind of order 0 and 1, for the motion of a positively charged particle in the magnetic field of an infinitely long, current-carrying wire in the nonrelativistic ...
Masoud Asadi-Zeydabadi, Clyde S. Zaidins
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G0-WISHART DISTRIBUTION BASED CLASSIFICATION FROM POLARIMETRIC SAR IMAGES [PDF]
ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2017 Enormous scientific and technical developments have been carried out to further improve the remote sensing for decades, particularly Polarimetric Synthetic Aperture Radar(PolSAR) technique, so classification method based on PolSAR images has getted much
G. C. Hu, Q. H. Zhao
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