Results 181 to 190 of about 232,931 (221)

A probabilistic generalization of the Bell polynomials

The Journal of Analysis, 2023
R. Soni, P. Vellaisamy, A. Pathak
semanticscholar   +1 more source

The generalized functions of the second kind for general exponential weights

Quaestiones Mathematicae, 2010
Abstract Let I be a finite or infinite interval containing 0, and let W : I → (0, ∞). Assume that W 2 is a weight, so that we may define orthonormal polynomials corresponding to W 2. The generalized functions of the second kind are , where H denotes the Hilbert transform, and v the bounded function on I. We investigate boundedness of the sum of qj (W 2,
openaire   +1 more source

Absolute Exponential Stability of Recurrent Neural Networks With Generalized Activation Function

IEEE Transactions on Neural Networks, 2008
In this paper, the recurrent neural networks (RNNs) with a generalized activation function class is proposed. In this proposed model, every component of the neuron's activation function belongs to a convex hull which is bounded by two odd symmetric piecewise linear functions that are convex or concave over the real space.
Jun, Xu, Yong-Yan, Cao, Youxian, Sun, Jinshan, Tang   +3 more
openaire   +2 more sources

A new generalization of Leonardo hybrid numbers with q-integers

Indian journal of pure and applied mathematics, 2023
Hayrullah Özimamoğlu
semanticscholar   +1 more source

Exponentially generated wave functions and excited states of benzene

Theoretica Chimica Acta, 1987
Usefulness of the exponentially generated wave function approach is shown. We first give an overview of the SAC (symmetry adapted cluster) and SAC-CI study on the valence and Rydberg excitations and ionizations of benzene including both π and σ spaces.
openaire   +1 more source

GENERAL STABILITY OF THE EXPONENTIAL AND LOBAČEVSKIǏ FUNCTIONAL EQUATIONS

Bulletin of the Australian Mathematical Society, 2016
Let $S$ be a semigroup possibly with no identity and $f:S\rightarrow \mathbb{C}$. We consider the general superstability of the exponential functional equation with a perturbation $\unicode[STIX]{x1D713}$ of mixed variables $$\begin{eqnarray}\displaystyle |f(x+y)-f(x)f(y)|\leq \unicode[STIX]{x1D713}(x,y)\quad \text{for all }x,y\in S.
openaire   +1 more source

Generalized complete orthonormal sets of Exponential-Type functions

Chemical Physics, 2023
G. Demirdak, E. Sahin, M. Ertürk
openaire   +1 more source

Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly  

The Dynamics on Soliton Molecules and Soliton Bifurcation for an Extended Generalization of Vakhnenko Equation

Qualitative Theory of Dynamical Systems
Yu‐Lan Ma, Bangqing Li
semanticscholar   +1 more source

Transmuted Linear Exponential Distribution: A New Generalization of the Linear Exponential Distribution

Communications in statistics. Simulation and computation, 2014
Yuzhu Tian, M. Tian, Qianqian Zhu
semanticscholar   +1 more source