The confluent hypergeometric function of the first kind is a degenerate form of the hypergeometric function which arises as a solution the confluent hypergeometric differential equation. It is also known as Kum
functions in quantum mechanics and statistics.Furthermore,many problems in mathematical physics can be solved with the help of the location of zeros of confluent hypergeometric functions.In this paper,we study the zero sets of the confluent hypergeometric function 1F1(α;γ;z):=∞∑n=0(α)n/...
joint distribution functionconfluent hypergeometric functionsIn this paper, we consider the performance evaluation of two retrial queueing system. Customers arrive... AA Bouchentouf,F Belarbi - 《Acta Universitatis Sapientiae Mathematica》 被引量: 2发表: 2013年 Estimating Joint Probabilities of Design Coi...
confluent hypergeometric functiongeneralized Bessel functionstrongly convexstrongly starlikesubordinationConditions are determined on the parameters a and c so that the confluent hypergeometric function Φ( a , c ; z ) = 1 F 1 ( a , c ; z ) is strongly convex of order 1/2 and the function ...
HYPERGEOMETRIC functionsINTEGRALSASYMPTOTIC expansionsWe study an integrable connection with irregular singularities along a normally crossing divisor. The connection is obtained from an integrable connection of regular singular type by a confluence, and has irregular singularities along...