Results 41 to 50 of about 19,305 (308)

Quaternion-Type Catalan Transforms of the ρ-Fibonacci and ρ-Lucas Numbers

Journal of Mathematics, 2023
In this paper, we define a new sequence called the quaternion-type Catalan sequence and give generating function, exponential representation, quaternionic Catalan matrix and its some properties.
Kübra Gül
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A Characterization of Exponential and Ordinary Generating Functions

Journal of Combinatorial Theory, Series A, 2002
This paper deals with the question why, of all possible generating functions, the ordinary and exponential generating functions are special. Let \(\Omega=(\omega_0,\omega_1,\dots)\) be a sequence of reals and \({\mathbf a}=(a_0,a_1,\dots)\) a sequence of complex numbers. Then \[ \Omega_{\mathbf a}(z)=\sum_{n=0}^{\infty}a_n \omega_n z^n \] is called the
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The generalized integro-exponential function [PDF]

Mathematics of Computation, 1985
The generalized integro-exponential function is defined in terms of the exponential integral (incomplete gamma function) and its derivatives with respect to order. A compendium of analytic results is given in one section. Rational minimax approximations sufficient to permit the computation of the first six first-order functions are reported in another ...
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The Prediction of the Maternal and Fetal Blood Lead Level via Generalized Linear Model [PDF]

المجلة العراقية للعلوم الاحصائية, 2009
Generalized linear models (GLMs) are generalization of the linear regression models, which allow fitting regression models to response variable that is non normal and follows a general exponential family.
Zakaria Y. AL-Jammal
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Exponential generating functions for the associated Bessel functions [PDF]

Journal of Physics A: Mathematical and Theoretical, 2008
Similar to the associated Legendre functions, the differential equation for the associated Bessel functions $B_{l,m}(x)$ is introduced so that its form remains invariant under the transformation $l\rightarrow -l-1$. A Rodrigues formula for the associated Bessel functions as squared integrable solutions in both regions $l<0$ and $l\geq 0$ is ...
Fakhri, H., Mojaveri, B., Nobary, M. A. Gomshi   +2 more
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The Gompertz model revisited and modified using reaction networks: Mathematical analysis

Biomath, 2021
In the present work we discuss the usage of the framework of chemical reaction networks for the construction of dynamical models and their mathematical analysis.
Svetoslav Marinov Markov
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Polynomial-Exponential Decomposition from Moments [PDF]

, 2017
International audienceWe analyze the decomposition problem of multivariate polynomial-exponential functions from truncated series and present new algorithms to compute their decomposition. Using the duality between polynomials and formal power series, we
Mourrain, Bernard, Bernard Mourrain
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