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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On Modifications of the Gamma Function by Using Mittag-Leffler Function
Journal of Mathematics, 2021 Mittag-Leffler function is a natural generalization of the exponential function. Recent applications of Mittag-Leffler function have reshaped the scientific literature due to its fractional effects that cannot be obtained by using exponential function ...
Asifa Tassaddiq, Abdulrahman Alruban
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Fractional-Modified Bessel Function of the First Kind of Integer Order
Mathematics, 2023 The modified Bessel function (MBF) of the first kind is a fundamental special function in mathematics with applications in a large number of areas.
Andrés Martín, Ernesto Estrada
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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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A New Generalization of Weighted Geometric Distribution and its Properties [PDF]
Journal of Statistical Theory and Applications (JSTA), 2017 Discrete distributions are widely used to model lifetime for count data. In this paper we introduce a new generalization of weighted geometric (GWG) distribution with the weight function w(x) = (1−p^{αx})^β whose special case proposes a discrete ...
H. Najarzadegan, M. H. Alamatsaz
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A Note on Topp-Leone Odd Log-Logistic Inverse Exponential Distribution
Journal of Statistical Theory and Applications (JSTA), 2020 The inverse exponential distribution is widely used in the field of reliability. In this article, we present a generalization of the inverse exponential distribution in formation of Topp-Leone odd log-logistic inverse exponential distribution. We provide
Salman Abbas +4 more
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Exponential Consensus of Multiple Agents Over Dynamic Network Topology: Controllability, Connectivity, and Compactness [PDF]
IEEE Transactions on Automatic Control, 2023 This paper investigates the problem of securing exponentially fast consensus (exponential consensus for short) for identical agents with finite dimensional linear system dynamics over dynamic network topology.
Qichao Ma +3 more
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Generic Newton polygons for L-functions of (A,B)-exponential sums [PDF]
Finite Fields and Their Applications, 2022 In this paper, we consider the following $(A, B)$-polynomial $f$ over finite field: $$f(x_0,x_1,\cdots,x_n)=x_0^Ah(x_1,\cdots,x_n)+g(x_1,\cdots,x_n)+P_B(1/x_0),$$ where $h$ is a Deligne polynomial of degree $d$, $g$ is an arbitrary polynomial of degree $< dB/(A+B)$ and $P_B(y)$ is a one-variable polynomial of degree $\le B$.
Yang, Liping, Zhang, Hao
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Generalized Mixtures of Exponential Distribution and Associated Inference
Mathematics, 2021 A new generalization of the exponential distribution, namely the generalized mixture of exponential distribution, is introduced. Some of its basic properties, such as hazard function, moments, order statistics, mean deviation, measures of uncertainly ...
Yaoting Yang +2 more
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On criteria for algebraic independence of collections of functions satisfying algebraic difference relations [PDF]
Opuscula Mathematica, 2017 This paper gives conditions for algebraic independence of a collection of functions satisfying a certain kind of algebraic difference relations. As applications, we show algebraic independence of two collections of special functions: (1) Vignéras ...
Hiroshi Ogawara
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