Results

**1 - 5**of**5**### Generalized Elliptic Integrals II

, 2007

"... We study monotonicity and convexity properties of functions arising in the theory of elliptic integrals, and in particular in the case of a Schwartz-Christoffel conformal mapping from a half-plane to a trapezoid. We obtain sharp monotonicity and convexity results for combinations of these functions, ..."

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We study monotonicity and convexity properties of functions arising in the theory of elliptic integrals, and in particular in the case of a Schwartz-Christoffel conformal mapping from a half-plane to a trapezoid. We obtain sharp monotonicity and convexity results for combinations of these functions, as well as functional inequalities and a linearization property.

### Generalized Elliptic Integrals and the Legendre M-function

, 2007

"... We study monotonicity and convexity properties of functions arising in the theory of elliptic integrals, and in particular in the case of a Schwartz-Christoffel conformal mapping from a half-plane to a trapezoid. We obtain sharp monotonicity and convexity results for combinations of these functions, ..."

Abstract
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We study monotonicity and convexity properties of functions arising in the theory of elliptic integrals, and in particular in the case of a Schwartz-Christoffel conformal mapping from a half-plane to a trapezoid. We obtain sharp monotonicity and convexity results for combinations of these functions, as well as functional inequalities and a linearization property.

### HYPERGEOMETRIC FUNCTIONS AND HYPERBOLIC METRIC

, 805

"... Abstract. We obtain new inequalities for certain hypergeometric functions. Using these inequalities, we deduce estimates for the hyperbolic metric and the induced distance function on a certain canonical hyperbolic plane domain. 1. ..."

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Abstract. We obtain new inequalities for certain hypergeometric functions. Using these inequalities, we deduce estimates for the hyperbolic metric and the induced distance function on a certain canonical hyperbolic plane domain. 1.

### BABE ¸S-BOLYAI UNIVERSITY

, 2007

"... ABSTRACT. In this note we investigate the convexity of zero-balanced Gaussian hypergeometric functions and general power series with respect to Hölder means. ..."

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ABSTRACT. In this note we investigate the convexity of zero-balanced Gaussian hypergeometric functions and general power series with respect to Hölder means.

### Full Screen

, 2007

"... In this note we investigate the convexity of zero-balanced Gaussian hypergeometric functions and general power series with respect to Hölder means. Convexity with respect to Hölder means ..."

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In this note we investigate the convexity of zero-balanced Gaussian hypergeometric functions and general power series with respect to Hölder means. Convexity with respect to Hölder means