Absorption coefficients of the 1397 cm-l, V3, band of peroxynitric acid (H02N02) have been measured at 225-230 K in order to calculate the feasibility of detecting this spectral feature in atmospheric spectra. High-resolution (0.0078 cm-l) Fourier transform spectra (13701430 cm-l) of low pressure gas-mixtures containing H02N02 were analyzed to determine the absorption coefficient, k(v). The max...

The second Appell’s hypergeometric function F2(a, b, b ′, c, c′;x, y) has a Mellin convolution integral representation in the region (x + y) < 1 and a > 0. We apply a recently introduced asymptotic method for Mellin convolution integrals to derive three asymptotic expansions of F2(a, b, b ′, c, c′;x, y) in decreasing powers of x and y with x/y bounded. For certain values of the real parameters ...

The purpose of the present paper is to study a certain subclass of harmonic univalent functions associated with Dziok-Srivastava operator. We obtain coefficient conditions, distortion bounds, and extreme points for the above class of harmonic univalent functions belonging to this class and discuss a class preserving integral operator. We also show that class studied in this paper is closed unde...

In this paper we consider the modified Hadamard product or convolution of analytic functions with negative coefficients, combined with an Sǎlǎgean integral operator. We discuss when it is a given class. Following idea of U. Bednarz and J. Sokól we shall determine the order of convolution consistence for certain analytic functions with negative coefficients. AMS Subject Classification: 30C45, 30C50

We find a combinatorial formula for the Haar functional of the orthogonal and unitary quantum groups. As an application, we consider diagonal coefficients of the fundamental representation, and we investigate their spectral measures. Introduction A basic question in functional analysis is to find axioms for quantum groups, which ensure the existence of a Haar measure. In the compact case, this ...

In this note, we prove a theorem à la Fatou for the square root of Poisson Kernel in the context of quasi-convex cocompact discrete groups of isometries of δ-hyperbolic spaces. As a corollary we show that some matrix coefficients of boundary representations cannot satisfy the weak inequality of Harish-Chandra. Nevertheless, such matrix coefficients satisfy an inequality which can be viewed as a...

The inverse scattering problem on the line is studied for the generalized Schrodinger equation (d* f/V&*) + @H(X)* fi= Q(X) $, where H(x) is a positive, piecewise continuous function with positive limits H, as x --+ 2~. This equation, in the frequency domain, describes the wave propagation in a nonhomogeneous medium, where Q(X) is the restoring force and l/H(x) is the variable wave speed changi...

In this paper we present a new scheme for the representation of object surfaces. The purpose is to model a surface efficiently in a coarse to fine hierarchy. Our scheme is based on the combination of spherical harmonic functions and wavelet networks on the sphere. The coefficients can be estimated from scattered data sampled from a star-shaped object’s surface. Spherical harmonic functions are ...

Most FIR filter realizations use the inputs and coefficients directly to compute the convolution. In this paper, we present a low power and high speed FIR filter designs by using first order difference between inputs and various orders of differences between coefficients. This design first reformulates the FIR operations with the differences in algorithm level. Then, in architecture level, we a...

A recent result of Sibel Yalcin et al. [4] appeared in “Journal of Inequalities in Pure and Applied Mathematics”(2007) concerning the convolution of two harmonic univalent functions in the class RSH (k, γ) is improved. 2010 Mathematics Subject Classification: 30C45.