confluent hypergeometric function


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confluent hypergeometric function

[kən′flü·ənt ¦hī·pər‚jē·ə¦me‚trik ′fəŋk·shən]
(mathematics)
A solution to differential equation z (d 2 w/dz 2) + (ρ-z)(dw/dz)-α w = 0.
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where [PHI]([alpha]; [beta]; *) is the type 1 confluent hypergeometric function.
Funciones Beta y Gama generalizadas extendidas y sus aplicaciones
1] X/d) by the confluent hypergeometric function of matrix argument [sub.
Properties of matrix variate confluent hypergeometric function distribution
Several important functions are special cases of the confluent hypergeometric function.
On the Janowski convexity and starlikeness of the confluent hypergeometric function
A gamma type distribution involving a confluent hypergeometric function of the second kind*
Una distribucion generalizada tipo gamma que involucra la funcion hipergeometrica confluente de segunda clase
The Gini index of the exponential hierarchy can be expressed in terms of the confluent hypergeometric function, whose integral representation is given by (b [greater than] a):
An Exponential Family of Lorenz Curves
It is of interest to note that the confluent hypergeometric function, M, yields the prior moment generating function of p from density (1).
Bayesian estimation of population density and visibility
1] represents the confluent hypergeometric function.
Multivariate Macdonald distribution and its properties
Based on the beta function, the Gauss hypergeometric function, denoted by F(a, b; c; z), and the confluent hypergeometric function, denoted by [PHI](b; c; z), for Re(c) > Re(b) > 0, are defined as (see Luke [1]),
Propiedades y aplicaciones de funciones hipergeometricas extendida
in terms of the confluent hypergeometric function of the first kind or Kummer function.
On modified asymptotic series involving confluent hypergeometric functions
1] and Humbert's confluent hypergeometric function [[PHI].
Producto de variables aleatorias independentes que involucran variables con funcion hipergeometrica invertida de tipo I
Using the relation between the confluent hypergeometric function and the generalized Laguerre polynomials [L.
The difference equation related to the problem of the hydrogen atom in a strong magnetic field
Some useful systems of coherent states can be defined [3] by using these relations, the confluent hypergeometric function
Systems of orthogonal polynomials defined by hypergeometric type equations
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