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Explicit Expressions for Most Common Entropies [PDF]
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
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CERTAIN RESULTS ON EXTENDED GENERALIZED τ-GAUSS HYPERGEOMETRIC FUNCTION
. The main aim of this paper is to introduce an extension of the generalized τ -Gauss hypergeometric function r F τs ( z ) and in-vestigate various properties of the new function such as integral rep-resentations, derivative formulas, Laplace transform ...
Dinesh Kumar+2 more
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Exact Expressions for Kullback–Leibler Divergence for Univariate Distributions [PDF]
The Kullback–Leibler divergence (KL divergence) is a statistical measure that quantifies the difference between two probability distributions. Specifically, it assesses the amount of information that is lost when one distribution is used to approximate ...
Victor Nawa, Saralees Nadarajah
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Fast computation of the Gauss hypergeometric function with all its parameters complex with application to the Pöschl–Teller–Ginocchio potential wave functions [PDF]
N. Michel, M. V. Stoitsov
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Large parameter cases of the Gauss hypergeometric function [PDF]
Nico Μ. Τemme
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Recursive structure of the Gauß hypergeometric function and boundary/crosscap conformal block [PDF]
The Gauß hypergeometric function shows a recursive structure which resembles those found in conformal blocks. We compare it with the recursive structure of the conformal block in boundary/crosscap conformal field theories that is obtained from the ...
Y. Nakayama
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On the maximum value of a confluent hypergeometric function
We study the maximum value of the confluent hypergeometric function with oscillatory conditions of parameters. As a consequence, we obtain new inequalities for the Gauss hypergeometric function.
Fejzullahu, Bujar Xh.
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The main object of this paper is to investigate and determine a sufficient condition for q-starlikeness and q-convexity for functions which are associated with normalized Gauss hypergeometric function.
M. Gour+3 more
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The main aim of this article is to study a new generalizations of the Gauss hypergeometric matrix and confluent hypergeometric matrix functions by using two-parameter Mittag–Leffler matrix function.
Jain Shilpi+4 more
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