Results 31 to 40 of about 166,092,251 (286)
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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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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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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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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APPROXIMATE GENERALIZED EXPONENTIAL FUNCTIONS [PDF]
Honam Mathematical Journal, 2009 In this paper we prove the superstability of a generalized exponential functional equation . It is a generalization of the superstability theorem for the exponential functional equation proved by Baker. Also we investigate the stability of this functional equation in the following form : .
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