Results 11 to 20 of about 27,869 (205)

Explicit Expressions for Most Common Entropies [PDF]

open access: yesEntropy, 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   +2 more sources

CERTAIN RESULTS ON EXTENDED GENERALIZED τ-GAUSS HYPERGEOMETRIC FUNCTION

open access: gold, 2016
. 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
openalex   +3 more sources

Exact Expressions for Kullback–Leibler Divergence for Univariate Distributions [PDF]

open access: yesEntropy
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
doaj   +2 more sources

Recursive structure of the Gauß hypergeometric function and boundary/crosscap conformal block [PDF]

open access: yesModern Physics Letters A, 2021
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
semanticscholar   +1 more source

On the maximum value of a confluent hypergeometric function

open access: yesComptes Rendus. Mathématique, 2022
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.
doaj   +1 more source

Sufficient condition for q-starlike and q-convex functions associated with normalized gauss hypergeometric function

open access: yesFilomat, 2022
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
semanticscholar   +1 more source

A study of generalized hypergeometric Matrix functions via two-parameter Mittag–Leffler matrix function

open access: yesOpen Physics, 2022
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
doaj   +1 more source

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