Results 31 to 40 of about 816,649 (277)

Some Subclasses of Spirallike Multivalent Functions Associated with a Differential Operator

Mathematics, 2022
In this paper we study convolution properties of spirallike multivalent functions defined by using a differential operator and higher order derivatives. Using convolution product relations we determine necessary and sufficient conditions for multivalent ...
Ekram Elsayed Ali, Mohamed Kamal Aouf, Rabha Mohamed El-Ashwah, Teodor Bulboacă   +3 more
doaj   +1 more source

Certain fundamental properties of generalized natural transform in generalized spaces

Advances in Difference Equations, 2021
This paper considers the definition and the properties of the generalized natural transform on sets of generalized functions. Convolution products, convolution theorems, and spaces of Boehmians are described in a form of auxiliary results.
Shrideh Khalaf Al-Omari, Serkan Araci
doaj   +1 more source

Relationships of convolution products, generalized transforms, and the first variation on function space

International Journal of Mathematics and Mathematical Sciences, 2002
We use a generalized Brownian motion process to define the generalized Fourier-Feynman transform, the convolution product, and the first variation. We then examine the various relationships that exist among the first variation, the generalized Fourier ...
Seung Jun Chang, Jae Gil Choi
doaj   +1 more source

Generalized Auto-Convolution Volterra Integral Equations: Numerical Treatments

Journal of Mathematics, 2022
In this paper, we use the operational Tau method based on orthogonal polynomials to achieve a numerical solution of generalized autoconvolution Volterra integral equations.
Mahdi Namazi Nezamabadi, Saeed Pishbin
doaj   +1 more source

A Convolution Method for Numerical Solution of Backward Stochastic Differential Equations Based on the Fractional FFT

Fractal and Fractional, 2022
BSDEs are applied in many areas, particularly in finance and economics. In this paper, we extended the convolution method to numerically solve FBSDEs. First, a generalized θ-scheme is applied to discretize the backwards component. Second, the convolution
Kexin Fu, Xiaoxiao Zeng, Xiaofei Li, Junjie Du   +3 more
doaj   +1 more source

Free Generalized Gamma Convolutions [PDF]

Electronic Communications in Probability, 2008
ما يسمى بيوكسيشن بيركوفيسي باتا يضع مجموعة من القوانين الكلاسيكية القابلة للقسمة بلا حدود لمجموعة من القوانين الحرة القابلة للقسمة بلا حدود. الغرض من هذا العمل هو دراسة القوانين الحرة القابلة للقسمة بلا حدود المقابلة لالتفافات غاما المعممة الكلاسيكية (GGC).
Victor Perez Abreu, Noriyoshi Sakuma
openaire   +3 more sources

SimNets: A Generalization of Convolutional Networks

CoRR, 2014
We present a deep layered architecture that generalizes classical convolutional neural networks (ConvNets). The architecture, called SimNets, is driven by two operators, one being a similarity function whose family contains the convolution operator used in ConvNets, and the other is a new soft max-min-mean operator called MEX that realizes classical ...
Nadav Cohen 0001, Amnon Shashua
openaire   +3 more sources

Characterizations of L-additive functions via generalized arithmetic convolutions [PDF]

Notes on Number Theory and Discrete Mathematics
This paper investigates the properties of L-additive functions within the algebraic frameworks of two generalized arithmetic convolutions: the K-convolution and Narkiewicz's A-convolution.
Champak Talukdar, Debashis Bhattacharjee, Helen K. Saikia   +2 more
doaj   +1 more source

Convolution operators and the discrete Laplacian [PDF]

, 2009
PhDIn this thesis, we obtain new results for convolution operators on homogeneous spaces and give applications to the Laplacian on a homogeneous graph. Some of these results have been published in joint papers [13, 14] with my supervisor.
Chen, Chung-Chuan
core   +4 more sources

Localization Operators for the Linear Canonical Dunkl Windowed Transformation

Axioms
One of the best known time–frequency tools for examining non-transient signals is the linear canonical windowed transform, which has been used extensively in signal processing and related domains. In this paper, by involving the harmonic analysis for the
Saifallah Ghobber, Hatem Mejjaoli
doaj   +1 more source