Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 3

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Gaussian hypergeometric function

Sortuj według:

Ogranicz wyniki do:

Certain multiplier results on Bp spaces

Naik Sunanda

Journal of Applied Analysis

2023

Vol. 29, nr 1

91--98

In this article, we use a particular case of convolution as an operator to discuss a number of problems concerning multiplier results between function spaces such as Hardy and Bp-spaces. As a consequence, we extend certain well-known results on fractional derivatives and fractional integrals. Also, we find condition on the parameters b, c such that Pb,c in Bp.

Close-to-convexity properties of basic hypergeometric functions using their Taylor coefficients

Raghavendar K., Swaminathan A.

Journal of Mathematics and Applications

2012

Vol. 35

53--67

In this paper, we find the conditions on parameters a, b, c and q such that the basic hypergeometric function zφ(a,b;c;q,z) and its q-Alexander transform are close-to-convex (and hence univalent) in the unit disc D:={z: |z|<1}.

Coefficient conditions for univalency and starlikeness of analytic functions

Mondal S. R., Swaminathan A.

Journal of Mathematics and Applications

2009

Vol. 31

77-90

In this paper, we find conditions on the coefficients {a(k)} such that the corresponding analytic function f(z) and its partial sum fn(z) are close-to-convex with respect to some starlike function in the unit disc D. We also find conditions on these coefficients so that the analytic function is starlike univalent in D. As an application, we find conditions on the triplet (a, b, c) so that, the normalized Gaussian hypergeometric function and its particular cases, are in one of these classes.