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Wyszukujesz frazę "Bessel functions" wg kryterium: Temat


Wyświetlanie 1-12 z 12
Tytuł:
On the zeros of the MacDonald functions
Autorzy:
Hamana, Yuri
Matsumoto, Hiroyuki
Shirai, Tomoyuki
Powiązania:
https://bibliotekanauki.pl/articles/255792.pdf
Data publikacji:
2019
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
zeros
Macdonald functions
Bessel functions
Opis:
We are concerned with the zeros of the Macdonald functions or the modified Bessel functions of the second kind with real index. By using the explicit expressions for the algebraic equations satisfied by the zeros, we describe the behavior of the zeros when the index moves. Results by numerical computations are also presented.
Źródło:
Opuscula Mathematica; 2019, 39, 3; 361-382
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Representations of Jordan algebras and special functions
Autorzy:
Travaglini, Giancarlo
Powiązania:
https://bibliotekanauki.pl/articles/967677.pdf
Data publikacji:
1991
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
representations
Jordan algebras
Bessel functions
Opis:
This paper is concerned with the action of a special formally real Jordan algebra U on an Euclidean space E, with the decomposition of E under this action and with an application of this decomposition to the study of Bessel functions on the self-adjoint homogeneous cone associated to U.
Źródło:
Colloquium Mathematicum; 1991, 62, 2; 257-266
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A convolution operation for a distributional Hankel transformation
Autorzy:
J. Betancor, J.
González, B.
Powiązania:
https://bibliotekanauki.pl/articles/1288540.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Hankel transformation
convolution
distributions
Bessel functions
Opis:
We investigate the Hankel transformation and the Hankel convolution on new spaces of generalized functions.
Źródło:
Studia Mathematica; 1995-1996, 117, 1; 57-72
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Polydisc slicing in $ℂ^n$
Autorzy:
Oleszkiewicz, Krzysztof
Pełczyński, Aleksander
Powiązania:
https://bibliotekanauki.pl/articles/1205969.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
volume of section
Bessel functions
polydisc
Opis:
Let D be the unit disc in the complex plane ℂ. Then for every complex linear subspace H in $ℂ^n$ of codimension 1, $vol_{2n-2}(D^{n-1}) ≤ vol_{2n-2}(H ∩ D^{n}) ≤ 2vol_{2n-2}(D^{n-1})$. The lower bound is attained if and only if H is orthogonal to the versor $e_{j}$ of the jth coordinate axis for some j = 1,...,n; the upper bound is attained if and only if H is orthogonal to a vector $e_{j} + σe_{k}$ for some 1 ≤ j < k ≤ n and some σ ∈ ℂ with |σ| = 1. We identify $ℂ^n$ with $ℝ^{2n}$; by $vol_{k}(·)$ we denote the usual k-dimensional volume in $ℝ^{2n}$. The result is a complex counterpart of Ball's [B1] result for cube slicing.
Źródło:
Studia Mathematica; 2000, 142, 3; 281-294
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hankel convolution on distribution spaces with exponential growth
Autorzy:
J. Betancor, Jorge
Rodríguez-Mesa, Lourdes
Powiązania:
https://bibliotekanauki.pl/articles/1221085.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Hankel transform
Hankel convolution
distribution
Bessel functions
Opis:
We study the Hankel transformation and Hankel convolution on spaces of distributions with exponential growth.
Źródło:
Studia Mathematica; 1996, 121, 1; 35-52
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A distribution associated with the Kontorovich-Lebedev transform
Autorzy:
Yakubovich, S.B.
Powiązania:
https://bibliotekanauki.pl/articles/254983.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Kontorovich-Lebedev transform
distributions
modified Bessel functions
Opis:
We show that in a sense of distributions [formula], where δ is the Dirac distribution, τ, x ∈ R and Kν(x) is the modified Bessel function. The convergence is in E'(R) for any even varphi(x) ∈ E(R) being a restriction to R of a function varphi(z) analytic in a horizontal open strip Ga = {z ∈ C: |Im z| < a, a > 0} and continuous in the strip closure. Moreover, it satisfles the condition [formula], |Re z| → ∞, α > 1 uniformly in ‾Ga. The result is applied to prove the representation theorem for the inverse Kontorovich-Lebedev transformation on distributions.
Źródło:
Opuscula Mathematica; 2006, 26, 1; 161-172
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solving dual integral equations on Lebesgue spaces
Autorzy:
Ciaurri, Óscar
Guadalupe, José
Pérez, Mario
Varona, Juan
Powiązania:
https://bibliotekanauki.pl/articles/1205966.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Fourier series
Hankel transform
Bessel functions
dual integral equations
Opis:
We study dual integral equations associated with Hankel transforms, that is, dual integral equations of Titchmarsh's type. We reformulate these equations giving a better description in terms of continuous operators on $L^p$ spaces, and we solve them in these spaces. The solution is given both as an operator described in terms of integrals and as a series $∑_{n=0}^{∞} c_n J_{μ+2n+1}$ which converges in the $L^p$-norm and almost everywhere, where $J_ν$ denotes the Bessel function of order ν. Finally, we study the uniqueness of the solution.
Źródło:
Studia Mathematica; 2000, 142, 3; 253-267
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Majorization problems for classes of analytic functions
Autorzy:
Dziok, J.
Murugusundaramoorthy, G.
Janani, T
Powiązania:
https://bibliotekanauki.pl/articles/357902.pdf
Data publikacji:
2015
Wydawca:
Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
Tematy:
analytic function
starlike function
complex order
quasi-subordination
majorization
modified Bessel functions
funkcja analityczna
funkcja gwiaździsta
funkcje Bessela
Opis:
The main object of the present paper is to investigate problems of majorization for certain classes of analytic functions of complex order defined by an operator related to the modified Bessel functions of first kind. These results are obtained by investigating appropriate class of admissible functions. Various known or new special cases of our results are.
Źródło:
Journal of Mathematics and Applications; 2015, 38; 49-57
1733-6775
2300-9926
Pojawia się w:
Journal of Mathematics and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Beurlings theorems and inversion formulas for certain index transforms
Autorzy:
Yakubovich, S. B.
Powiązania:
https://bibliotekanauki.pl/articles/255306.pdf
Data publikacji:
2009
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Beurling theorem
Kontorovich-Lebedev transform
Lebedev-Skalskaya transforms
Fourier transform
Laplace transform
modified Bessel functions
uncertainty principle
Nicholson function
Opis:
The familiar Beurling theorem (an uncertainty principle), which is known for the Fourier transform pairs, has recently been proved by the author for the Kontorovich-Lebedev transform. In this paper analogs of the Beurling theorem are established for certain index transforms with respect to a parameter of the modified Bessel functions. In particular, we treat the generalized Lebedev-Skalskaya transforms, the Lebedev type transforms involving products of the Alacdoriald functions of different arguments and an index transform with the Nicholson kernel function. We also find inversion formulas for the Lebedev-Skalskaya operators of an arbitrary index and the Nicholson kernel transform.
Źródło:
Opuscula Mathematica; 2009, 29, 1; 93-110
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Precision Calculations of the Characteristic Impedance of Complex Coaxial Waveguides Used in Wideband Thermal Converters of AC Voltage and Current
Autorzy:
Kubiczek, Krzysztof
Kampik, Marian
Powiązania:
https://bibliotekanauki.pl/articles/2124756.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
AC voltage standard
current shunt
characteristic impedance
multilayer cylindrical conductor
FEM simulation
modified Bessel functions
numerical stability
calorimetric thermal voltage converter
ac-dc transfer difference
Opis:
The article presents precision and numerically stable method of calculation of the characteristic impedance of cylindrical multilayer waveguides used in high-precision wideband measuring instruments and standards, especially calculable thermal converters of AC voltage and precision wideband current shunts. Most of currently existing algorithms of characteristic impedance calculation of such waveguides are based upon approximations. Unfortunately, application of such methods is limited to waveguides composed of a specific, usually low number of layers. The accuracy of approximation methods as well as the number of layers is sometimes not sufficient, especially when the coaxial waveguide is a part of precision measurement equipment. The article presents the numerically stable matrix analytical formula using exponentially scaled modified Bessel functions to compute characteristic impedance and its components of the cylindrical coaxial multilayer waveguides. Results obtained with the developed method were compared with results of simulations made using the Finite Element Method (FEM) software simulations. Very good agreement between results of those two methods were achieved.
Źródło:
International Journal of Electronics and Telecommunications; 2022, 68, 3; 527--533
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fourier, Laguerre, Laplace Transforms with applications
Autorzy:
Aghili, Arman
Powiązania:
https://bibliotekanauki.pl/articles/2052384.pdf
Data publikacji:
2021
Wydawca:
Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
Tematy:
Fourier transform
Laplace transform
Laguerre transform
singular integral equation
Bessel's functions
fractional heat equation
przekształcenie Fouriera
przekształcenie Laplace'a
przekształcenie Laguerre'a
osobliwe równanie całkowe
funkcje Bessela
ułamkowe równanie ciepła
Opis:
In this article, the author considered certain time fractional equations using joint integral transforms. Transform method is a powerful tool for solving singular integral equations, integral equation with retarded argument, evaluation of certain integrals and solution of partial fractional differential equations. The obtained results reveal that the transform method is very convenient and effective. Illustrative examples are also provided.
Źródło:
Journal of Mathematics and Applications; 2021, 44; 5-17
1733-6775
2300-9926
Pojawia się w:
Journal of Mathematics and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Instantaneous Frequency Estimation of Multi-Component Non- Stationary Signals using Fourier Bessel series and Time-Varying Auto Regressive Model
Autorzy:
Ravi Shankar Reddy, G.
Rao, R.
Powiązania:
https://bibliotekanauki.pl/articles/226382.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
basis functions
Fourier-Bessel expansion
instantaneous frequency
multi component non stationary signal
Time-varying Auto Regressive model
Opis:
In this paper, we propose a novel technique for Instantaneous frequency (IF) estimation of multi component non stationary signals using Fourier Bessel Series and Time-Varying Auto Regressive (FB-TVAR) model. In the proposed technique, the Fourier-Bessel (FB) expansion decomposes the multicomponent non stationary signal into a number of monocomponent signals and TVAR model is used to model each monocomponent signal. In TVAR modeling approach the time varying parameters are expanded as a linear combination of basis functions. In this paper, the TVAR parameters are expanded by a discrete cosine basis functions. The maximum likelihood estimation algorithm for model order selection in TVAR models is also discussed. The Instantaneous frequency (IF) is extracted from the time-varying parameters by calculating the angles of the estimation error filter polynomial roots. The estimation of the TVAR parameters of a multicomponent signal requires the inversion of a large covariance matrix, while the projected technique (FB-TVAR) requires the inversion of a number of comparatively small covariance matrices with better numerical stability properties. Simulation results are presented for three component discrete Amplitude and Frequency modulated (AM-FM)signal.
Źródło:
International Journal of Electronics and Telecommunications; 2015, 61, 4; 365-376
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-12 z 12

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