AI Chat AI Image Generator AI Video Text to Speech

Hypergeometric functions and moments of operators

11/23/2019

∙

by Ana Maria Acu, et al.

∙

∙

We consider some hypergeometric functions and prove that they are elementary functions. Consequently, the second order moments of Meyer-Konig and Zeller type operators are elementary functions. The higher order moments of these operators are expressed in terms of elementary functions and polylogarithms.

Ana Maria Acu
3 publications
Ioan Rasa
4 publications

page 1

page 2

page 3

page 4

research

∙ 10/15/2019

On Higher-order Moments in Adam

In this paper, we investigate the popular deep learning optimization rou...

17 Zhanhong Jiang, et al. ∙

research

∙ 10/03/2020

Second Order Operators in the NASA Astrophysics Data System

Second Order Operators (SOOs) are database functions which form secondar...

0 Michael J. Kurtz, et al. ∙

research

∙ 03/28/2020

Harmonic Decompositions of Convolutional Networks

We consider convolutional networks from a reproducing kernel Hilbert spa...

0 Meyer Scetbon, et al. ∙

research

∙ 05/13/2022

Exponential Integral Solutions for Fixation Time in Wright-Fisher Model With Selection

In this work we derive new analytic expressions for fixation time in Wri...

0 Vincent Runge, et al. ∙

research

∙ 10/02/2022

Exact first moments of the RV coefficient by invariant orthogonal integration

The RV coefficient measures the similarity between two multivariate conf...

0 François Bavaud, et al. ∙

research

∙ 02/20/2023

U-statistics of local sample moments under weak dependence

In this paper, we study the asymptotic distribution of some U-statistics...

0 Herold G. Dehling, et al. ∙

research

∙ 12/11/2019

Generalized attenuated ray transforms and their integral angular moments

In this article generalized attenuated ray transforms (ART) and integral...

0 Evgeny Y. Derevtsov, et al. ∙