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Properties of the zeros of confluent hypergeometric functions

open access: yesJournal of Approximation Theory, 1982
AbstractSeveral infinite systems of nonlinear algebraic equations satisfied by the zeros of confluent hypergeometric functions are derived. Certain sum rules and other related properties for the zeros follow from these equations. A large class of special functions, which are special cases of confluent hypergeometric functions, is included.
openaire   +2 more sources

Multivariate Generalization of the Confluent Hypergeometric Function Kind 1 Distribution

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2008
The confluent hypergeometric function kind 1 distribution with the probability density function (pdf) proportional to x_−1F11(α;β;−x),  x>0 occurs as the distribution of the ratio of independent gamma and beta variables.
Daya K. Nagar   +1 more
doaj   +1 more source

Extended Conformable K-Hypergeometric Function and Its Application

open access: yesAdvances in Mathematical Physics
The extended conformable k-hypergeometric function finds various applications in physics due to its ability to describe complex mathematical relationships arising in different physical scenarios. Here are a few instances of its uses in physics, including
Maham Abdul Qayyum   +4 more
doaj   +1 more source

Some Incomplete Hypergeometric Functions and Incomplete Riemann-Liouville Fractional Integral Operators

open access: yesMathematics, 2019
Very recently, the incomplete Pochhammer ratios were defined in terms of the incomplete beta function B y ( x , z ) . With the help of these incomplete Pochhammer ratios, we introduce new incomplete Gauss, confluent hypergeometric, and Appell&#
Mehmet Ali Özarslan, Ceren Ustaoğlu
doaj   +1 more source

Confluent hypergeometric functions on tube domains

open access: yesMathematische Annalen, 1982
Our problem specialized to the case of the Siegel upper half space H,. of degree m concerns the Fourier expansion of a series S(z; ~, fl) = ~ det (z + a) -" det (~ + a)~. a~L Here z is a variable on H.~, L is a lattice in the space V of all real symmetric matrices of size m, and (~,fl)eC ~.
openaire   +2 more sources

The generalized confluent hypergeometric function [PDF]

open access: yesProceedings of the Japan Academy, Series A, Mathematical Sciences, 1992
Kimura, Hironobu   +2 more
openaire   +2 more sources

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