Generalized Bessel functions: Theory and their applications
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DOI: 10.1002/mma.4463
Abstract: This paper presents 2 new classes of the Bessel functions on a compact domain [0,T] as generalized-tempered Bessel functions of the first- and second-kind which are denoted by GTBFs-1 and GTBFs-2. Two special cases corresponding… read more here.
Keywords: bessel functions; generalized bessel; theory applications; gtbfs ... 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
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
Studies on the Zeroes of Bessel Functions and Methods for Their Computation: IV. Inequalities, Estimates, Expansions, etc., for Zeros of Bessel Functions
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DOI: 10.1134/s0965542518010086
Abstract: This paper is the fourth in a series of survey articles concerning zeros of Bessel functions and methods for their computation. Various inequalities, estimates, expansions, etc. for positive zeros are analyzed, and some results are… read more here.
Keywords: bessel functions; zeros bessel; estimates expansions; inequalities estimates ... See more keywords
Univalence of certain integral operators involving q-Bessel functions
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DOI: 10.2298/fil1909673b
Abstract: In this investigation we make a systematic study of the univalence of certain families of integral operators, which are defined by means of the normalized forms of Jackson?s second and third q-Bessel functions. read more here.
Keywords: univalence certain; bessel functions; operators involving; integral operators ... See more keywords
Some Subordination Results for Atangana-Baleanu Fractional Integral Operator Involving Bessel Functions
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DOI: 10.3390/sym14020358
Abstract: We propose, in the present paper, to derive some differential subordination results. The work is developed in the case of analytic functions defined on the open unit disc. The results will be formulated by making… read more here.
Keywords: fractional integral; baleanu fractional; integral operator; bessel functions ... See more keywords
A Septuple Integral of the Product of Three Bessel Functions of the First Kind Jα(tβ)Jγ(xδ)Jη(yθ): Derivation and Evaluation over General Indices
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DOI: 10.3390/sym14040730
Abstract: Closed expressions for a number of septuple integrals involving the product of three Bessel functions of the first kind Jα(tβ)Jγ(xδ)Jη(yθ) when the orders α,γ,η are large, are derived in terms of the Hurwitz–Lerch zeta function… read more here.
Keywords: first kind; bessel functions; functions first; product three ... See more keywords
Fast Calculation of the Derivatives of Bessel Functions with Respect to the Parameter and Applications
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DOI: 10.3390/sym15010064
Abstract: In this paper, the fast algorithms of the derivatives of Bessel functions with respect to the parameter are obtained. Based on these fast algorithms, we discuss the calculations of the derivatives of the functions related… read more here.
Keywords: bessel functions; derivatives bessel; respect parameter; fast calculation ... See more keywords