On Extensions of Extended Gauss Hypergeometric Function
نویسندگان
چکیده
منابع مشابه
Gauss’ hypergeometric function
We give a basic introduction to the properties of Gauss’ hypergeometric functions, with an emphasis on the determination of the monodromy group of the Gaussian hyperegeometric equation. Initially this document started as an informal introduction to Gauss’ hypergeometric functions for those who want to have a quick idea of some main facts on hypergeometric functions. It is the startig of a book ...
متن کاملOn computing two special cases of Gauss hypergeometric function
In this paper, a computational technique is given to re-obtain the explicit forms of two cases of the Gauss hypergeometric function ) ; , , ( 1 2 x c b a F for 2 / 1 + = a b and 2 / 3 , 2 / 1 = c . Some special identities related to the two aforesaid cases are also introduced. Finally a special Maple package, called FormalPowerSeries (FPS), is used to automatically compute some results given in...
متن کاملDegenerate Gauss hypergeometric functions
Throughout the paper, we denote this equation by E(a, b, c). Since Kummer we know that in general there are 24 hypergeometric series which express solutions of E(a, b, c). The subject of this paper is Gauss hypergeometric functions when some or all of the numbers a, b, c, c − a, c − b, a − b, c − a − b are integers. We refer to these functions and to corresponding hypergeometric equations as de...
متن کاملNew series expansions of the Gauss hypergeometric function
The Gauss hypergeometric function 2F1(a, b, c; z) can be computed by using the power series in powers of z, z/(z − 1), 1 − z, 1/z, 1/(1 − z), (z − 1)/z. With these expansions 2F1(a, b, c; z) is not completely computable for all complex values of z. As pointed out in Gil, et al. [2007, §2.3], the points z = e±iπ/3 are always excluded from the domains of convergence of these expansions. Bühring [...
متن کاملSolar Structure in Terms of Gauss’ Hypergeometric Function
Hydrostatic equilibrium and energy conservation determine the conditions in the gravitationally stabilized solar fusion reactor. We assume a matter density distribution varying non-linearly through the central region of the Sun. The analytic solutions of the differential equations of mass conservation, hydrostatic equilibrium, and energy conservation, together with the equation of state of the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Advanced Mathematical Sciences
سال: 2019
ISSN: 2651-4001
DOI: 10.33434/cams.550192