Accurate Analytic Approximation for a Fractional Differential Equation With a Modified Bessel Function Term
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DOI: 10.1002/mma.70373
Abstract: A new analytical approximation function is proposed to accurately fit the solution of a fractional differential equation of order one‐half, whose nonhomogeneous term is defined by a modified Bessel function of the first kind. The… read more here.
Keywords: equation; fractional differential; differential equation; function ... See more keywords
Recursive Computation of Logarithmic Derivatives, Ratios, and Products of Spheroidal Harmonics and Modified Bessel Functions and Applications
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DOI: 10.1007/s10915-017-0527-3
Abstract: Spheroidal harmonics and modified Bessel functions have wide applications in scientific and engineering computing. Recursive methods are developed to compute the logarithmic derivatives, ratios, and products of the prolate spheroidal harmonics ($$P_n^m(x)$$Pnm(x), $$Q_n^m(x)$$Qnm(x), $$n\ge m\ge… read more here.
Keywords: spheroidal harmonics; bessel functions; modified bessel; logarithmic derivatives ... See more keywords
The elastic boundary value problem of extended modified Bessel equation and its application in fractal homogeneous reservoir
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DOI: 10.1007/s40314-020-1104-1
Abstract: By introducing the elastic boundary value condition, the elastic boundary value problem of extended modified Bessel equation is proposed, we can use the following method to solve it. First, two linear independent solutions of extended… read more here.
Keywords: modified bessel; reservoir; elastic boundary; value ... See more keywords
A Novel Equivalent Definition of Modified Bessel Functions for Performance Analysis of Multi-Hop Wireless Communication Systems
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DOI: 10.1109/access.2017.2685085
Abstract: A statistical model is derived for the equivalent signal-to-noise ratio of the Source-to-Relay-to-Destination (S-R-D) link for Amplify-and-Forward (AF) relaying systems that are subject to block Rayleigh-fading. The probability density function and the cumulated density function… read more here.
Keywords: bessel functions; destination; modified bessel; link ... See more keywords
On approximating the modified Bessel function of the second kind
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DOI: 10.1186/s13660-017-1317-z
Abstract: In the article, we prove that the double inequalities πe−x2(x+a) read more here.
Keywords: second kind; modified bessel; function second; sqrt ... See more keywords
High order monotonicity of a ratio of the modified Bessel function with applications
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DOI: 10.15672/hujms.1244462
Abstract: Let $K_{\mathcal{\nu }}$ be the modified Bessel functions of the second kind of order $\mathcal{\nu }$ and $Q_{\nu }\left( x\right) =xK_{\mathcal{\nu -}% 1}\left( x\right) /K_{\mathcal{\nu }}\left( x\right) $. In this paper, we proved that $Q_{\mathcal{\nu… read more here.
Keywords: order monotonicity; mathcal left; modified bessel; high order ... See more keywords
On nabla discrete fractional calculus operator for a modified Bessel equation
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DOI: 10.2298/tsci170614287y
Abstract: In thermal sciences, it is possible to encounter topics such as Bessel beams, Bessel functions or Bessel equations. In this work, we also present new discrete fractional solutions of the modified Bessel differential equation by… read more here.
Keywords: modified bessel; discrete fractional; fractional calculus; calculus operator ... See more keywords
Geometric Nature of the Turánian of Modified Bessel Function of the First Kind
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DOI: 10.3390/axioms13120874
Abstract: This work explores the geometric properties of the Turanian of the modified Bessel function of the first kind (TMBF). Using the properties of the digamma function, we establish conditions under which the normalized TMBF satisfies… read more here.
Keywords: first kind; function first; function; modified bessel ... See more keywords