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Showing 1 to 20 of 88 for “"bessel"”.

  1. Μελέτη των ριζών μικτών συναρτήσεων Bessel

    Κοκολογιαννάκη-Κωνσταντοπούλου, Χρυσή2015

    Στην παρούσα διατριβή μελετώνται οι ρίζες της συνάρτησης Mν(z), στην περίπτωση όπου οι συναρτήσεις F(z) και G(z) είναι της μορφής: y(z) = Σ ynzn-1 αναλυτικές στον μοναδιαίο δίσκο και πληρούν τη συνθήκη: Σ |yn|2 < ∞, δηλ. ανήκουν στον χώρο Hardy-Lebesgue Η2 (Δ).

    patras-thes Repository record

  2. ΜΕΛΕΤΗ ΤΩΝ ΡΙΖΩΝ ΜΙΚΤΩΝ ΣΥΝΑΡΤΗΣΕΩΝ BESSEL

    Kokologiannaki, Chrysi, Κοκολογιαννάκη-Κωνσταντοπούλου, ΧρυσήUniversity of Patras1989

    … OR NOT OF THE COMPLEX AND REAL ZEROS OF MIXED BESSEL FUNCTIONS, MV(Z)=F(Z)JV(Z)+G(Z)JV'(Z), OF FIRST KIND AND ORDER V (IN GENERAL COMPLEX). THE MULTIPLICITY OF THE ZEROS OF THE DERIVATIVES OF BESSEL FUNCTIONS JV(S)(Z), S=1,2,3,4 IS ALSO EXAMINED. FOR THE FUNCTION JV''(Z), WHICH IS A SPECIAL …

    greece Repository record

  3. The Fourier-Bessel Series and Hard Edge Limits

    Lerner-Brecher, MatthewMassachusetts Institute of Technology2025

    The universality classes defined by the Airy and Bessel kernels are two of the most fundamental in random matrices and growth models more generally. Broadly speaking, one often encounters the Airy kernel when studying models where the relevant eigenvalues or particles are unbounded, and the Bessel …

    mit Repository record

  4. On the Summability of Fourier-Bessel and Dini Expansions

    Hosford, Hemphill MoffettUniversity of Illinois at Urbana-Champaign1926

    uiuc Repository record

  5. Circular Bessel field statistics and the pursuit of far-subwavelength resolution

    Chen, Yulu

    <p>The statistical description of wave propagation in random media is important for many applications. While polarized light in systems with weakly interacting scatterers and sufficient overall scatter has zero-mean circular Gaussian statistics, the underlying assumptions break down in the Anderson …

    purdue-thes Repository record

  6. The unramified principal series of p-adic groups : the Bessel function

    DeFranco, Mario A. (Mario Anthony)Massachusetts Institute of Technology2014

    … unramified principal series of G known as the "Bessel function" at torus elements of dominant coweight. I show that the Bessel function shares many properties with the Macdonald spherical function of G, in particular the properties described in Casselman's 1980 evaluation of that function. The …

    mit Repository record

  7. Confinement and Tracking of Brownian Particles in a Bessel Beam Standing Wave

    McKell, ChadWake Forest University2015

    … this, we used an axicon-generated, zeroth-order Bessel beam standing wave whose parameters were adjusted to allow tight axial confinement and loose transverse confinement of microscopic-sized particles in the central maximum of the Bessel beam. We chose a Bessel beam because its unique …

    wfu Repository record

  8. Acotaciones con pesos de operadores relacionados con las series de Fourier-Bessel

    Roncal Gómez, LuzUniversidad de La Rioja (España)2009

    … de esta memoria. 1. El sistema de Fourier-Bessel. En el primer capítulo de la memoria describimos el sistema de Fourier-Bessel multidimensional. Aunque los resultados principales se centran en una generalización del caso radial, presentamos la familia completa de funciones. Este sistema …

    dialnet Repository record

  9. Integral Representations of the Extended Airy Integral Type for the Modified Bessel Function

    Donaldson, James AshleyUniversity of Illinois at Urbana-Champaign2014

    Made available in DSpace on 2014-12-09T22:17:21Z (GMT). No. of bitstreams: 1 6511771.pdf: 1319791 bytes, checksum: f25040f3e225e93b5dc705b244797355 (MD5) Previous issue date: 1965

    uiuc Repository record

  10. Fresnel-focusing and bessel-beam integrated optical phased arrays for optical trapping applications

    Notaros, JelenaMassachusetts Institute of Technology2017

    … the first time as a method for generating quasi-Bessel beams in a fully-integrated, compact-form-factor system. Through generation of quasi-Bessel beams with elongated properties, these devices have potential for applications in multi-particle, multi-plane optical trapping. To enable these phased …

    mit Repository record

  11. An Isoperimetric Inequality for Fundamental Tones of Free Plates

    Chasman, LauraUniversity of Illinois at Urbana-Champaign2015

    … These solutions are a linear combination of Bessel and modified Bessel functions.

    uiuc Repository record

  12. Compressive buckling of a clamped circular plate on an elastic foundation not in attachment

    Liu, Cheng YungVirginia Polytechnic Institute1959

    … fourth order which were solved in terms of the Bessel functions. The relations between the foundation modulus and the buckling load were found from two characteristic equations expressed in terms of Bessel functions.

    vt Repository record

  13. Some Problems Concerning the Generalized Hyperbolic and Related Distributions

    Tran, ThanhResearchSpace@Auckland2011

    … Firstly, the presence of the modified Bessel function of the second kind Kλ (z) in the density function of these distributions has been known to be one of the challenges for research e ort. Here, the approach is to obtain a reliable algorithm which, for a given /λ/∈ [0,90], can identify …

    auckland-ms Repository record

  14. Diffusion Processes with Reflection

    Andres, Sebastian2009

    … werden als ein System von interagierenden Bessel-Prozessen mit kleiner Bessel-Dimension. Insbesondere hat der Driftterm den Effekt, dass die Partikel sich gegenseitig anziehen. Eine Konsequenz hiervon ist, dass analog zu Bessel Prozessen mit Dimension kleiner als eins das System kein …

    tu-berlin Repository record

  15. Lattice points in disks and strongly convex domains

    Brooks, Dusty

    … oscillatory integrals and more specifically for Bessel functions. After examining the geometrical method for precisely counting the number of lattice points inside a disk of radius R, we use the Poisson Summation Formula and the Bessel function results to prove initial bounds on the lattice point …

    unm Repository record

  16. Optimising light-sheet microscopy for high resolution live imaging of the early development of chick embryos

    Bango Da Cunha Correia, Ricardo F.University of Dundee2018

    … through beam shaping techniques. Hence, a Bessel beam light-sheet was generated to investigate if it would result in improved penetration depth. The Gaussian beam was modulated into a Bessel beam using a spatial light modulator and the Bessel light-sheet illumination was combined with the …

    dundee Repository record

  17. Asymptotic Formulas For Large Arguments Of Hypergeometric-type Functio

    Heck, Adam

    … is given. This new method is applied to Bessel functions. Results are compared with previously known methods.

    ucf

  18. Strong-field physics with ultrafast optical resonators

    Putnam, William PMassachusetts Institute of Technology2015

    … the design of novel optical cavities based on Bessel-Gauss modes. Such cavities might have the capability to allow perfect out-coupling for intra-cavity generated harmonics as well as to provide for extremely large mode areas on the cavity mirrors. We prototype a particular Bessel-Gauss cavity …

    mit Repository record

  19. Axisymmetric Rayleigh-Benard convection

    Golbabai,, A.City University London1983

    … the matching with a local solution in terms of Bessel functions is carried out. In Chapter 4, the effect of rotation is incorporated and the numerical scheme of Chapter 2, is modified to solve the appropriate linearised equations. In Chapter 5, the non-linear amplitude equation is derived for …

    city-london Repository record

  20. The Nonexistence of Shearlet-Like Scaling Multifunctions that Satisfy Certain Minimally Desirable Properties and Characterizations of the Reproducing Properties of the Integer Lattice Translations of a Countable Collection of Square Integrable Functions

    Houska, Robert2010

    … introduce three varieties of reproducing systems—Bessel systems, frames, and Riesz bases—within the Hilbert space context and prove a number of elementary results, including qualitative characterizations of each and several results regarding the combination and partitioning of reproducing …

    wustl Repository record

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