Results 1 to 10 of about 1,936 (189)
Applications of Confluent Hypergeometric Function in Strong Superordination Theory
Axioms, 2022 In the research presented in this paper, confluent hypergeometric function is embedded in the theory of strong differential superordinations. In order to proceed with the study, the form of the confluent hypergeometric function is adapted taking into ...
Georgia Irina Oros +2 more
doaj +3 more sources
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
doaj +3 more sources
Journal of Inequalities and Applications, 2018 In the paper, the authors present some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function via some classical inequalities such as Chebychev’s inequality for synchronous (or asynchronous, respectively ...
Kottakkaran Sooppy Nisar +4 more
doaj +3 more sources
Fractal and Fractional, 2022 The fuzzy differential subordination concept was introduced in 2011, generalizing the concept of differential subordination following a recent trend of adapting fuzzy sets theory to other already-established theories.
Mugur Acu +2 more
doaj +3 more sources
GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS [PDF]
Honam Mathematical Journal, 2011 Summary: The main object of this paper is to present generalization of extended beta function, extended hypergeometric and confluent hypergeometric function introduced by Chaudhry et al. and obtained various integral representations, properties of beta function, Mellin transform, beta distribution, differentiation formulas, transform formulas ...
Rakesh Kumar Parmar, Yong-Sup Kim
exaly +3 more sources
Exact Expressions for Kullback–Leibler Divergence for Univariate Distributions [PDF]
EntropyThe 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
A Connection Formula for the q-Confluent Hypergeometric Function [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We show a connection formula for the $q$-confluent hypergeometric functions ${}_2varphi_1(a,b;0;q,x)$. Combining our connection formula with Zhang's connection formula for ${}_2varphi_0(a,b;-;q,x)$, we obtain the connection formula for the $q$-confluent ...
Takeshi Morita
doaj +4 more sources
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
doaj +1 more source
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 physicist's guide to the solution of Kummer's equation and confluent hypergeometric functions
Condensed Matter Physics, 2022 The confluent hypergeometric equation, also known as Kummer's equation, is one of the most important differential equations in physics, chemistry, and engineering. Its two power series solutions are the Kummer function, M(a,b,z), often referred to as the
W. N. Mathews Jr. +3 more
doaj +1 more source