HYPERGEOMETRIC FUNCTIONS

@inproceedings{ElAshwah2004HYPERGEOMETRICF,
  title={HYPERGEOMETRIC FUNCTIONS},
  author={R. El-Ashwah and M. Aouf},
  year={2004}
}
Given the hypergeometric function F (a, b; c; z) = ∞ P n=0 (a)n(b)n (c)n(1)n zn, we place conditions on a, b and c to guarante that zpF (a, b; c; z) will be in various subclasses of p-valent starlike and p-valent convex functions. Operators related to the hypergeometric function are also examined. 
151 Citations
The Gauss hypergeometric function F ( a , b ; c ; z ) for large c
  • 13
  • PDF
Some results on the extended beta and extended hypergeometric functions
  • 42
  • PDF
The Structure of Bivariate Rational Hypergeometric Functions
  • 4
  • Highly Influenced
  • PDF
Factorial ratios, hypergeometric series, and a family of step functions
  • 46
  • Highly Influenced
  • PDF
Symbolic Transformations in the Problem of Analytic Continuation of the Hypergeometric Function pFp– 1(z) to the Neighborhood of the Point z = 1 in the Logarithmic Case
  • S. Skorokhodov
  • Mathematics, Computer Science
  • Programming and Computer Software
  • 2004
  • 4
(n+1, m+1)-hypergeometric functions associated to character algebras
  • 17
  • PDF
Representations of hypergeometric functions for arbitrary parameter values and their use
  • 9
  • PDF
$\Gamma$-evaluations of hypergeometric series
  • PDF
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 12 REFERENCES
Starlike hypergeometric functions
  • 64
  • PDF
Fundamentals of Diierential Equations, 4 th edition
  • Fundamentals of Diierential Equations, 4 th edition
  • 1996
Multivalent functions with negative coefficients in the unit disc
  • Tamkang J. Math
  • 1986
Multivalent functions with negative coefficients in the unit disc
  • Tamkang J. Math
  • 1986
On convex hulls and extreme points of p-valent starlike and convex classes with applications
  • Bull. Math. Soc. Sci. Math. R. S. Roumanie (N.S.)
  • 1983
...
1
2
...