In the present work a Jain type modification of generalized Szász-Mirakyan operators that preserve constant and exponential mappings is presented. The introduction this operator helps to extend class functions. A particular expansion involving Lambert W-function established which used obtain properties operator. Moments, central moments, are presented with some limiting properties. Voronovskaya...

In this paper, we prove the smooth cubic moments vanish for Hecke--Maass cusp forms, which gives a new case of random wave conjecture. fact, can polynomial decay moments, while second moment (i.e. QUE) no rate is known unconditionally general forms. The proof bases on various estimates central $L$-values. We Lindel\"of average bound first $\rm GL(3)\times GL(2)$ $L$-functions in short intervals...

The generalized lambda distribution (GLD) is a flexible four parameter distribution with many practical applications. L-moments of the GLD can be expressed in closed form and are good alternatives for the central moments. The L-moments of the GLD up to an arbitrary order are presented, and a study of L-skewness and L-kurtosis that can be achieved by the GLD is provided. The boundaries of L-skew...

The projected mass of a gravitational lens inside (circular) apertures can be derived from the measured shear inside an annulus which is caused by the tidal eld of the deeecting mass distribution. Here we show that also the multipoles of the two-dimensional mass distribution can be derived from the shear in annuli. We derive several expressions for these mass multipole moments in terms of the s...

The first part of this article deals with fitting of regression equations for the sampling properties, variance of L-standard deviation (l2), and bias and variance of L-skewness (t3), based on Monte-Carlo simulation results, for generalised Normal (Lognormal-3) and Pearson-3 distributions. These fitted equations will be useful in formulating goodness-of-fit test statistics in regional frequency...

The projected mass of a gravitational lens inside (circular) apertures can be derived from the measured shear inside an annulus which is caused by the tidal field of the deflecting mass distribution. Here we show that also the multipoles of the twodimensional mass distribution can be derived from the shear in annuli. We derive several expressions for these mass multipole moments in terms of the...

Voice clinicians require an objective, reliable, and relatively automatic method to assess voice change after medical, surgical, or behavioral intervention. This measure must be sensitive to a variety of voice qualities and severities, and preferably should reflect voice in continuous speech. The long-term average spectrum (LTAS) is a fast Fourier transform-generated power spectrum whose proper...

BACKGROUND The aim of this study was to compare the torque efficacy of square and rectangular wires in 0.018- and 0.022-in. conventionally ligated brackets. METHODS Brackets of the same prescription were evaluated in both slot dimensions. Identical acrylic resin models of the maxilla were bonded with the brackets and mounted on the Orthodontic Measurement and Simulation System. Ten 0.018 × 0....