Inequalities for zero-balanced Gaussian hypergeometric functions
نویسندگان
چکیده
منابع مشابه
Convexity of the Zero-balanced Gaussian Hypergeometric Functions with Respect to Hölder Means
In this note we investigate the convexity of zero-balanced Gaussian hypergeometric functions and general power series with respect to Hölder means.
متن کاملTurán Type Inequalities for Hypergeometric Functions
In this note our aim is to establish a Turán type inequality for Gaussian hypergeometric functions. This result completes the earlier result that G. Gasper proved for Jacobi polynomials. Moreover, at the end of this note we present some open problems.
متن کاملTurán type inequalities for q-hypergeometric functions
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.
متن کاملStarlikeness of the Gaussian Hypergeometric Functions
In this paper, we derive conditions on the parameters a, b, c so that the function zF (a, b; c; z) is starlike in D, where F (a, b; c; z) denotes the classical hypergeometric function. We give some consequences of our results including some mapping properties of convolution operator.
متن کاملCertain Sufficiency Conditions on Gaussian Hypergeometric Functions
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.
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: Mathematical Inequalities & Applications
سال: 2017
ISSN: 1331-4343
DOI: 10.7153/mia-2017-20-74