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Design and Analysis of a Cylindrical Coil System Utilizing Bessel Functions for Constructive Interference
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BESSEL POLYNOMIALS AND SOME CONNECTION FORMULAS IN TERMS OF THE ACTION OF LINEAR DIFFERENTIAL OPERATORS
Published 2022-12-01Subjects: “…classical orthogonal polynomials, linear functionals, bessel polynomials, raising operators, connection formulas…”
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MOMENT PROBLEMS IN WEIGHTED \(L^2\) SPACES ON THE REAL LINE
Published 2020-07-01“…The proof also utilizes notions from Non-Harmonic Fourier series such as Bessel and Riesz–Fischer sequences.…”
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Mobile Robot Path Planning Based on Fused Multi-Strategy White Shark Optimisation Algorithm
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Calogero-Sutherland-type quantum systems, generalized hypergeometric functions and superintegrability for integral chains
Published 2025-08-01“…Abstract We reinvestigate the Calogero-Sutherland-type (CS-type) models and generalized hypergeometric functions. We construct the generalized CS operators for circular, Hermite, Laguerre, Jacobi and Bessel cases and establish the generalized Lassalle-Nekrasov correspondence. …”
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Controlling the transverse multipole components in rf cavity modes using the azimuthal modulation method
Published 2025-08-01“…The derived equations explicitly show the radial variation of the change in longitudinal and transverse momentum follows a polynomial rather than Bessel-function relationship. The expression for the longitudinal electric field is then compared to a field map obtained from the 3D electromagnetic simulation of an azimuthally modulated cavity designed to support a mode composed of monopole, dipole, and quadrupole components. …”
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RF injection scanning tunneling spectroscopy of a superconducting NbSe2 surface
Published 2025-07-01“…In addition, two enhanced peaks at ~ ± eVAC are deduced from the Bessel function behavior. The energy shift from the original peak linearly changes with eVAC. …”
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Boundedness and Sobolev-Type Estimates for the Exponentially Damped Riesz Potential with Applications to the Regularity Theory of Elliptic PDEs
Published 2025-07-01“…We also provide non-trivial examples that illustrate not only these properties but also show that, under this operator, a broader class of functions becomes locally integrable. The exponential decay factor notably broadens the domain of boundedness compared to classical Riesz and Bessel–Riesz potentials, making the operator more versatile and robust. …”
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Binary Kerr black-hole scattering at 2PM from quantum higher-spin Compton
Published 2025-07-01“…We give scalar box, vector box, and scalar triangle coefficients to all orders in spin, where the latter are expressed in terms of Bessel-like functions. Using the Kosower-Maybee-O’Connell formalism, the classical 2PM impulse is computed, and in parallel we work out the scattering angle and eikonal phase. …”
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Impact of Measuring Part Elements of Transformer Differential Protection on Input Signal Processing
Published 2017-08-01“…The problem can be solved by deep analysis of functioning of main elements of RP devices in the specific operating conditions and revision of coefficients used in settings calculation. …”
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