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IX.—The Confluent Hypergeometric Functions of Two Variables [PDF]
Pierre Humbert
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Properties of the zeros of confluent hypergeometric functions
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.
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The 𝑘-function, a particular case of the confluent hypergeometric function [PDF]
H. Bateman
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Exact solution of the 1D Dirac equation for a pseudoscalar interaction potential with the inverse-square-root variation law. [PDF]
Ishkhanyan AM, Krainov VP.
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Multivariate Generalization of the Confluent Hypergeometric Function Kind 1 Distribution
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
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Extended Conformable K-Hypergeometric Function and Its Application
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
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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
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On Integral Relations connected with the Confluent Hypergeometric Function [PDF]
D. Gibb
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Confluent hypergeometric functions on tube domains
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 ~.
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The generalized confluent hypergeometric function [PDF]
Kimura, Hironobu+2 more
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