Results 21 to 30 of about 527,794 (256)
GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS [PDF]
Honam Mathematical Journal, 2011 The main object of this paper is to present generaliza-tion of extended beta function, extended hypergeometric and con-uent hypergeometric function introduced by Chaudhry et al. andobtained various integral representations, properties of beta func-tion, Mellin transform, beta distribution, dierentiation formulas, transform formulas, recurrence ...
Yong Sup Kim +3 more
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On the zeros of a confluent hypergeometric function [PDF]
Proceedings of the American Mathematical Society, 1965 Jet Wimp
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International Journal of Mathematics for Industry, 2023 Fractional kinetic equations are of immense importance in describing and solving numerous intriguing problems of physics and astrophysics. Inequalities are important topics in special functions.
Ankita Chandola, Rupakshi Mishra Pandey
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The Confluent Hypergeometric Beta Distribution
Mathematics, 2023 The confluent hypergeometric beta distribution due to Gordy has been known since the 1990s, but not much of is known in terms of its mathematical properties.
Saralees Nadarajah, Malick Kebe
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Asymptotic Representations of Confluent Hypergeometric Functions [PDF]
Proceedings of the National Academy of Sciences, 1935 E. Fisher
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A note on the generalized-hypergeometric solutions of general and single-confluent Heun equations [PDF]
J. Math. Anal. Appl. 499, 125037 (2021), 2021 We review the series solutions of the general and single-confluent Heun equations in terms of powers, ordinary-hypergeometric and confluent-hypergeometric functions. The conditions under which the expansions reduce to finite sums as well as the cases when the coefficients of power-series expansions obey two-term recurrence relations are discussed ...
arxiv +1 more source
Journal of Mathematics, 2021 In this paper, a new confluent hypergeometric gamma function and an associated confluent hypergeometric Pochhammer symbol are introduced. We discuss some properties, for instance, their different integral representations, derivative formulas, and ...
Abdus Saboor +4 more
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Exact Expressions for Kullback-Leibler Divergence for Univariate Distributions. [PDF]
Entropy (Basel)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 ...
Nawa V, Nadarajah S.
europepmc +2 more sources
On the maximum value of a confluent hypergeometric function
Comptes 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.
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A Note on Superspirals of Confluent Type
Mathematics, 2020 Superspirals include a very broad family of monotonic curvature curves, whose radius of curvature is defined by a completely monotonic Gauss hypergeometric function.
Jun-ichi Inoguchi +2 more
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