Ibrahim, Rabha W.
Published in
SN Applied Sciences

Reducing noise from images is an essential structure of the image processing study. Noises can arise with images through achievement on diffusion. The existence of noise can delay the right operation of these images for many applications such as satellite and medical images. Reducing denois in images multiplicatively (DIM) has been developed and mo...

prodanov, dimiter

The manuscript surveys the special functions of the Fox-Wright type. These functions are generalizations of the hypergeometric functions. Notable representatives of the type are the Mittag-Leffler functions and the Wright function. The integral representations of such functions are given and the conditions under which these function can be represen...

prodanov, dimiter

This paper establishes a real integral representation of the reciprocal Gamma function in terms of a regularized hypersingular integral along the real line. A regularized complex representation along the Hankel path is derived. The equivalence with the Heine&rsquo / s complex representation is demonstrated. For both real and complex integrals, the ...

Campbell, John

Recently, there have been a variety of intriguing discoveries regarding the symbolic computation of series containing central binomial coefficients and harmonic-type numbers. In this article, we present a vast generalization of the recently-discovered harmonic summation formula $$\sum_{n=1}^{\infty} \binom{2n}{n}^{2} \frac{H_{n}}{32^{n}} = \frac{\G...

Hasan, Md. Mahmudul Foad, Mohammad Mahadi Hasan
Published in
Circuits, Systems, and Signal Processing

Orthogonal frequency division multiplexing is a special form of multicarrier modulation and suffers from a very high peak-to-average power ratio (PAPR) that degrades overall performance of the system. In this article, a modified gamma correction companding (MGCC) is proposed that provides a significant reduction in PAPR when compared with existing ...

Li, Xi-Qiao Liu, Zhi-Ming Yang, Zhen-Hang Zheng, Shen-Zhou
Published in
Journal of Inequalities and Applications

Among various approximation formulas for the gamma function, Smith showed that Γ(x+12)∼S(x)=2π(xe)x(2xtanh12x)x/2,x→∞,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \...

Bodduluri, Lakshmi Boon, Mei Ying Dain, Stephen J.
Published in
Behavior Research Methods

Recent advances in technology and the increased use of tablet computers for mobile health applications such as vision testing necessitate an understanding of the behavior of the displays of such devices, to facilitate the reproduction of existing or the development of new vision assessment tests. The purpose of this study was to investigate the phy...

Nantomah, Kwara Nasiru, Suleman
Published in
Moroccan Journal of Pure and Applied Analysis

By using the generalized Hölder’s and Minkowski’s integral inequalities, some inequalities for the m-th derivative of the (q; k)-Gamma function are established. Consequently, some previous results are recovered as particular cases of the present results.

Nadarajah, S. Chu, J.
Published in
Journal of Mathematical Chemistry

A closed form expression is derived for moments of the Hulthén density in the most general form.

Nantomah, K. Prempeh, E. Twum, S. B.
Published in
Moroccan Journal of Pure and Applied Analysis

In this paper, we introduce a new two-parameter deformation of the classical Gamma function, which we call a (p,k)-analogue of the Gamma function. We also provide some identities generalizing those satisfied by the classical Gamma function. Furthermore, we establish some inequalities involving this new function.