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
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