#### Filter Results:

- Full text PDF available (4)

#### Publication Year

2004

2017

- This year (1)
- Last 5 years (4)
- Last 10 years (4)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

The author aims at finding certain conditions on a, b and c such that the normalized Gaussian hypergeometric function zF (a, b; c; z) given by F (a, b; c; z) = ∞ ∑ n=0 (a, n)(b, n) (c, n)(1, n) z, |z| < 1, is in certain subclasses of analytic functions. A particular operator acting on F (a, b; c; z) is also discussed.

- Árpád Baricz, Kondooru Raghavendar, Anbhu Swaminathan
- Journal of Approximation Theory
- 2013

In this paper our aim is to deduce some Turán type inequalities for q-hypergeometric and q-confluent hypergeometric functions. In order to obtain the main results we apply the methods developed in the case of classical Kummer and Gauss hypergeometric functions. c ⃝ 2013 Elsevier Inc. All rights reserved.

It is known that the ratio of Gaussian hypergeometric functions can be represented by means of g -fractions. In this work, the ratio of q -hypergeometric functions are represented by means of g -fractions that lead to certain results on q -starlikeness of the q -hypergeometric functions defined on the open unit disk. Corresponding results for the q -convex… (More)

In this work, conditions on the coefficients {ak} are considered so that the corresponding sine sum n ∑ k=1 ak sin kθ and cosine sum a0 + n ∑ k=1 ak cos kθ are positive in the unit disc D. The monotonicity property of cosine sums is also discussed. Further a generalization of renowned Theorem of Vietoris’ for the positivity of cosine and sine sums is… (More)

- Kondooru Raghavendar, Anbhu Swaminathan
- Computers & Mathematics with Applications
- 2012

- ‹
- 1
- ›