Results 21 to 30 of about 1,095,426 (168)

Explicit Expressions for Most Common Entropies

Entropy, 2023
Entropies are useful measures of variation. However, explicit expressions for entropies available in the literature are limited. In this paper, we provide a comprehensive collection of explicit expressions for four of the most common entropies for over ...
Saralees Nadarajah, Malick Kebe
doaj   +1 more source

Further Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables

Mathematics, 2019
The main aim of this paper is to provide a new generalization of Hurwitz-Lerch Zeta function of two variables. We also investigate several interesting properties such as integral representations, summation formula, and a connection with the generalized ...
Kottakkaran Sooppy Nisar
doaj   +1 more source

Compositional Data Modeling through Dirichlet Innovations

Mathematics, 2021
The Dirichlet distribution is a well-known candidate in modeling compositional data sets. However, in the presence of outliers, the Dirichlet distribution fails to model such data sets, making other model extensions necessary.
Seitebaleng Makgai, Andriette Bekker, Mohammad Arashi   +2 more
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Some new Hardy-Hilbert-type inequalities with multiparameters

AIMS Mathematics, 2022
The purpose of this paper is to build some new Hardy-Hilbert-type inequalities with multiparameters and their equivalent forms and variants, which generalize some existing results. Similarly, the corresponding Hardy-Hilbert-type integral inequalities are
Limin Yang, Ruiyun Yang
doaj   +1 more source

Coupon Collector Problem with Reset Button

Mathematics
We consider the following generalization of the classical coupon collector problem. We assume that, in addition to the initial collection of standard coupons, there is one more coupon that acts as a reset button, removing all coupons from the part of the
Jelena Jocković, Bojana Todić
doaj   +1 more source

Influence of Area Distribution Along the Span Direction on Flapping Wing Aerodynamics in Hover Based on Numerical Modeling Analysis

IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing
This study performed a numerical investigation to explore the effect of span-wise area distribution on flapping wing aerodynamics in hovering configuration using an in-house developed flow solver.
Guilin Wu, Shuanghou Deng, Qingxi Li
doaj   +1 more source

Generalized Gamma, Beta and Hypergeometric Functions Defined by Wright Function and Applications to Fractional Differential Equations

Cumhuriyet Science Journal, 2022
When the literature is examined, it is seen that there are many studies on the generalizations of gamma, beta and hypergeometric functions. In this paper, new types of generalized gamma and beta functions are defined and examined using the Wright ...
Enes Ata, İ. Onur Kıymaz
doaj   +1 more source

A new Definition of Fractional Derivative and Fractional Integral [PDF]

Kirkuk Journal of Science, 2018
In this paper, we introduce three different definitions of fractional derivatives, namely Riemann-Liouville derivative, Caputo derivative and the new formula Caputo expansion formula, and some basics properties of these derivatives are discussed.
Ahmed M. Kareem
doaj   +1 more source

An Extension of Beta Function by Using Wiman’s Function

Axioms, 2021
The main purpose of this paper is to study extension of the extended beta function by Shadab et al. by using 2-parameter Mittag-Leffler function given by Wiman.
Rahul Goyal, Shaher Momani, Praveen Agarwal, Michael Th. Rassias   +3 more
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Integral Representations of the Catalan Numbers and Their Applications

Mathematics, 2017
In the paper, the authors survey integral representations of the Catalan numbers and the Catalan–Qi function, discuss equivalent relations between these integral representations, supply alternative and new proofs of several integral representations ...
Feng Qi, Bai-Ni Guo
doaj   +1 more source