Results 31 to 40 of about 230,404 (281)
Moments of orthogonal polynomials and exponential generating functions
The Ramanujan Journal, 2022 Starting from the moment sequences of classical orthogonal polynomials we derive the orthogonality purely algebraically. We consider also the moments of ($q=1$) classical orthogonal polynomials, and study those cases in which the exponential generating function has a nice form.
Ira M. Gessel, Jiang Zeng
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Numerical computation of a generalized exponential integral function [PDF]
Mathematics of Computation, 1974 Series expansions and recurrence relations suitable for numerical computation are developed for the generalized exponential integral functions. Tables of these functions are presented in the microfiche section of this issue.
Breig, W. F., Crosbie, A. L.
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Approximation on a class of Phillips operators generated by q-analogue
Journal of Inequalities and Applications, 2020 The main purpose of this article is to introduce a new generalization of q-Phillips operators generated by Dunkl exponential function. We establish some approximation results for these operators. We also determine the order of approximation, and the rate
Abdullah Alotaibi
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Geometric Properties of Generalized Bessel Function Associated with the Exponential Function
Mathematica Slovaca, 2023 ABSTRACT Sufficient conditions are determined on the parameters such that the generalized and normalized Bessel function of the first kind, which is an elementary transform of the hypergeometric function and other related functions belong to subclasses of starlike and convex functions defined in the unit disk associated with the ...
Naz, Adiba +2 more
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Nonlocal Probability Theory: General Fractional Calculus Approach
Mathematics, 2022 Nonlocal generalization of the standard (classical) probability theory of a continuous distribution on a positive semi-axis is proposed. An approach to the formulation of a nonlocal generalization of the standard probability theory based on the use of ...
Vasily E. Tarasov
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Comment on "Towards a large deviation theory for strongly correlated systems"
, 2013 I comment on a recent paper by Ruiz and Tsallis [Phys. Lett. A 376, 2451 (2012)] claiming to have found a '$q$-exponential' generalization of the large deviation principle for strongly correlated random variables.
Gnedenko +5 more
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An alternative to the Cauchy distribution
MethodsX, 2019 A few generalizations of the Cauchy distribution appear in the literature. In this paper, a new generalization of the Cauchy distribution is proposed, namely, the exponentiated-exponential Cauchy distribution (EECD).
Ayman Alzaatreh
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Austrian Journal of Statistics, 2022 In this article a generalization of the inverse Rayleigh distribution has been addressed by using DUS transformation, named as Exponential Transformed Inverse Rayleigh (ETIR) distribution.
Proloy Banerjee, Shreya Bhunia
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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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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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