𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Functional Inequalities for the Quotients of Hypergeometric Functions

✍ Scribed by R Balasubramanian; S Ponnusamy; M Vuorinen

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
155 KB
Volume
218
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Computing the Hypergeometric Function
Computing the Hypergeometric Function
✍ Robert C. Forrey πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 318 KB

The hypergeometric function of a real variable is computed for arbitrary real parameters. The transformation theory of the hypergeometric function is used to obtain rapidly convergent power series. The divergences that occur in the individual terms of the transformation for integer parameters are re

Asymptotics of the hypergeometric functi
Asymptotics of the hypergeometric function
✍ D. S. Jones πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 159 KB

## Abstract An asymptotic representation is obtained for the hypergeometric function ${\bf F}(a+\lambda,b‐\lambda,c,1/2‐1/2z)$\nopagenumbers\end as $|\lambda|\rightarrow\infty$\nopagenumbers\end with $|{\rm ph}\,\lambda|<\pi$\nopagenumbers\end. It is uniformly valid in the __z__‐plane cut in an app

Precise Estimates for Differences of the
Precise Estimates for Differences of the Gaussian Hypergeometric Function
✍ G.D Anderson; S.-L Qiu; M Vuorinen πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 258 KB

By showing certain combinations of the Gaussian hypergeometric functions Ε½ c . Ε½ d . Ε½ . F a, b; a q b; 1 y x and F a y ␦, b q ␦; a q b; 1 y x to be monotone on 0, 1 Ε½ . for given a, b, c, d g 0, Ο± , a F b, and cd, the authors study the problem of Γ„ Ε½ . Ε½ c . comparing these two functions. They find

Inequalities for Rational Functions
Inequalities for Rational Functions
✍ Evsey Dyn'kin πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 284 KB

A new hyperbolic area estimate for the level sets of finite Blaschke products is presented. The following inversion of the usual Sobolev embedding theorem is proved: Here r is a rational function of degree n with poles outside D. This estimate implies a new inverse theorem for rational approximati

Inequalities for Cyclic Functions
Inequalities for Cyclic Functions
✍ Horst Alzer; Stephan Ruscheweyh; Luis Salinas πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 98 KB