Results 71 to 80 of about 35,175 (225)

Mellin Transforms of the Generalized Fractional Integrals and Derivatives

, 2014
We obtain the Mellin transforms of the generalized fractional integrals and derivatives that generalize the Riemann-Liouville and the Hadamard fractional integrals and derivatives.
Bucchianico, Butkovskii, Butzer, Butzer, Butzer, Butzer, Bóna, Erdélyi, Erdélyi, Flajolet, Gaboury, Goldman, Hadamard, Herrmann, Katugampola, Katugampola, Kilbas, Kilbas, Kilbas, Kilbas, Kiryakova, Machado, Miller, Noor, Noor, Noor, Odzijewicz, Odzijewicz, Odzijewicz, Oldham, Podlubny, Pooseh, Robbins, Robinson, Rodrigues, Roman, Roman, Roman, Rota, Rota, Samko, Udita N. Katugampola, Yakubovich   +42 more
core   +1 more source

Shape Derivatives of the Eigenvalues of the De Rham Complex for Lipschitz Deformations and Variable Coefficients: Part I

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Fast Integer Sine-Cosine Transforms of Order 4 and Simplified Sine-Cosine Transforms of Order 8

Кібернетика та комп'ютерні технології
Introduction. A matrix method for constructing one-norm sine-cosine transforms of type II of order 4 has been developed, which has better efficiency compared to the known sine transform of type II.
Yaroslav Luts
doaj   +1 more source

On a New Class of Meromorphic Univalent Function Associated with Dziok_Srivastava Operator

Journal of Kufa for Mathematics and Computer, 2015
In this paper, we introduce and study a new class of meromorphic Univalent functions defined by Dziok_Srivastava operator for this class. We obtain coefficient inequality, convex set, closure and Hadamard product (or convolution).Further we obtain a(n,δ
Mohammed Maad Mahdi, Waggas Galib Atshan, Abdul Jalil M. Khalaf   +2 more
doaj   +1 more source

A Novel Optimized Local Linearization Hybrid Block Method for Chaotic Systems: Applications to Stretch‐Twist‐Fold Flow and Bond Orbital Chaotic Attractors

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The numerical approximation of nonlinear chaotic differential systems, such as the modified stretch‐twist‐fold (STF) flow and multi‐bond chaotic attractors, presents a significant challenge due to their sensitive dependence on initial conditions and complex dynamics where analytical solutions are unattainable.
Shina Daniel Oloniiju, Anastacia Dlamini
wiley   +1 more source

Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

On a New Class of Meromorphic Univalent Function Associated with Dziok_Srivastava Operator

Journal of Kufa for Mathematics and Computer, 2014
In this paper, we introduce and study a new class of meromorphic Univalent functions defined by Dziok_Srivastava operator for this class. We obtain coefficient inequality, convex set, closure and Hadamard product (or convolution).Further we obtain a(n,δ
Waggas Galib Atshan, Abdul Jalil G. Khalaf   +1 more
doaj   +1 more source

Quantum Phase Estimation with Arbitrary Constant-precision Phase Shift Operators [PDF]

, 2011
While Quantum phase estimation (QPE) is at the core of many quantum algorithms known to date, its physical implementation (algorithms based on quantum Fourier transform (QFT)) is highly constrained by the requirement of high-precision controlled phase ...
Ahmadi, Hamed, Chiang, Chen-Fu
core  

Phase‐Pole‐Free Images and Smooth Coil Sensitivity Maps by Regularized Nonlinear Inversion

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Phase singularities are a common problem in image reconstruction with auto‐calibrated sensitivities due to an inherent ambiguity of the estimation problem. The purpose of this work is to develop a method for detecting and correcting phase poles in non‐linear inverse (NLINV) reconstruction of MR images and coil sensitivity maps ...
Moritz Blumenthal, Martin Uecker
wiley   +1 more source

Single‐Breathhold 3D MR Elastography in the Liver, With Simultaneous R2* and PDFF Mapping

Magnetic Resonance in Medicine, EarlyView.
Purpose To develop a sequence for the rapid acquisition of MR elastography (MRE) parameters in 3D, with simultaneous measurement of proton‐density fat fraction (PDFF) and R2* for multiparametric assessment of liver disease. Methods The proposed sequence uses an interleaved motion‐encoding scheme to acquire 3D volumes of all motion encodings and wave ...
Donovan P Tripp, Anne‐Sophie van Schelt, Omar Darwish, Karl P Kunze, Shamsa Al Harthy, Nader S Metwalli, Ahmed M Gharib, Claudia Prieto, René M Botnar, Ralph Sinkus, Radhouene Neji   +10 more
wiley   +1 more source