Results 21 to 30 of about 2,722,837 (288)
The Spherical Harmonic Family of Beampatterns
Acoustics, 2022 The free space solution to the wave equation in spherical coordinates is well known as a separable product of functions. Re-examination of these functions, particularly the sums of spherical Bessel and harmonic functions, reveals behaviors which can ...
Kevin J. Parker, Miguel A. Alonso
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High accuracy trigonometric approximations of the real Bessel functions of the first kind [PDF]
, 2020 We construct high accuracy trigonometric interpolants from equidistant evaluations of the Bessel functions $J_n(x)$ of the first kind and integer order. The trigonometric models are cosine or sine based depending on whether the Bessel function is even or
Wu, Min +3 more
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Bounds and algorithms for the K-Bessel function of imaginary order [PDF]
, 2013 Using the paths of steepest descent, we prove precise bounds with numerical implied constants for the modified Bessel function of imaginary order and its first two derivatives with respect to the order.
Booker, Andrew R +5 more
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Some New Grüss' Type Inequalities for Functions of Selfadjoint Operators in Hilbert Spaces [PDF]
, 2008 Some new inequalities of Grüss’ type for functions of selfadjoint operators in Hilbert spaces, under suitable assumptions for the involved operators, are given.
Dragomir, Sever S
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Nonparaxial accelerating Bessel-like beams [PDF]
, 2013 A new class of nonparaxial accelerating optical waves is introduced. These are beams with a Bessel-like profile that are capable of shifting laterally along fairly arbitrary trajectories as the wave propagates in free space.
Chremmos, Ioannis +5 more
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The method of finite-product extraction and an application to Wiener-Hopf theory [PDF]
, 2011 Copyright @ The Author, 2011. The publisher version of the article can be accessed at the link below.In this work we describe a simple method for finding approximate representations for special functions which are entire transcendental functions that can
Rawlins, AD, A. D. Rawlins
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On Geometric Properties of Normalized Hyper-Bessel Functions
Mathematics, 2019 In this paper, the normalized hyper-Bessel functions are studied. Certain sufficient conditions are determined such that the hyper-Bessel functions are close-to-convex, starlike and convex in the open unit disc.
Khurshid Ahmad +5 more
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On spherical Bessel functions [PDF]
Transactions of the American Mathematical Society, 1965 In [1] solutions were obtained for certain second order linear differential equations with polynomial coefficients in terms of generalized Rodrigues' formulas and iterated indefinite integrals. The purpose of this paper is to apply these results to the Bessel equation.
openaire +2 more sources
Asymptotic behavior and zero distribution of polynomials orthogonal with respect to Bessel functions [PDF]
, 2015 We consider polynomials P_n orthogonal with respect to the weight J_? on [0,?), where J_? is the Bessel function of order ?. Asheim and Huybrechs considered these polynomials in connection with complex Gaussian quadrature for oscillatory integrals.
Deaño Cabrera, Alfredo +5 more
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Appell-Type Functions and Chebyshev Polynomials
Mathematics, 2019 In a recent article we noted that the first and second kind Cebyshev polynomials can be used to separate the real from the imaginary part of the Appell polynomials. The purpose of this article is to show that the same classic polynomials can also be used
Pierpaolo Natalini, Paolo Emilio Ricci
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