Browsing by Subject "Hypergeometric functions"
Now showing items 14 of 4

Asymptotics of the Gauss hypergeometric function with large parameters, I
(Element d.o.o., 2013)We obtain asymptotic expansions for the Gauss hypergeometric function F(a+ε1λ,b+ε2λ;c+ε3λ;z) as λ →∞ when the εj are ﬁnite by an application of the method of steepest descents, thereby extending previous results corresponding ... 
Asymptotics of the Gauss hypergeometric function with large parameters, II
(Element d.o.o., 2013)We obtain asymptotic expansions by application of the method of steepest descents for the Gauss hypergeometric function F(a+ε1λ,b+ε2λ;c+λ;z) as λ → ∞ when 0<ε1 <1 and ε1 >1 where, without loss of generality, it is supposed ... 
Eulertype transformations for the generalized hypergeometric function r+2Fr+1(x)
(Springer Verlag, 201102)We provide generalizations of two of Euler’s classical transformation formulas for the Gauss hypergeometric function extended to the case of the generalized hypergeometric function r+2 F r+1(x) when there are additional ... 
On a result related to transformations and summations of generalized hypergeometric series
(Department of Mathematics, University of Osijek, 2012)We deduce an explicit representation for the coefficients in a finite expansion of a certain class of generalized hypergeometric functions that contain multiple pairs of numeratorial and denominatorial parameters differing ...