Results 71 to 80 of about 10,952,690 (356)

On generalizations of the Pompeiu functional equation

International Journal of Mathematics and Mathematical Sciences, 1998
In this paper, we determine the general solution of the functional equations f(x+y+xy)=p(x)+q(y)+g(x)h(y),     (∀x,y∈ℜ*) and f(ax+by+cxy)=f(x)+f(y)+f(x)f(y),     (∀x,y∈ℜ) which are generalizations of a functional equation studied by Pompeiu. We present a
Pl. Kannappan, P. K. Sahoo
doaj   +1 more source

A note on $(a,b)$-Fibonacci sequences and specially multiplicative arithmetic functions [PDF]

Mathematica Bohemica
A specially multiplicative arithmetic function is the Dirichlet convolution of two completely multiplicative arithmetic functions. The aim of this paper is to prove explicitly that two mathematical objects, namely $(a,b)$-Fibonacci sequences and ...
Emil Daniel Schwab, Gabriela Schwab
doaj   +1 more source

Fractional-Stochastic Solutions for the Generalized (2+1)-Dimensional Nonlinear Conformable Fractional Schrödinger System Forced by Multiplicative Brownian Motion

Journal of Function Spaces, 2022
In this paper, the (2+1)-dimensional nonlinear conformable fractional stochastic Schrödinger system (NCFSSS) generated by the multiplicative Brownian motion is treated. To get new rational, trigonometric, hyperbolic, and elliptic stochastic solutions, we
Sahar Albosaily, Wael W. Mohammed, Ekram E. Ali, R. Sidaoui, E. S. Aly, M. El-Morshedy   +5 more
doaj   +1 more source

On Hermite-Hadamard type inequalities for multiplicative fractional integrals

Miskolc Mathematical Notes, 2020
In this study, we first establish two Hermite-Hadamard type inequality for multiplicative (geometric) Riemann-Liouville fractional integrals. Then, by using some properties of multiplicative convex function, we give some new inequalities involving ...
H. Budak, K. Özçelik
semanticscholar   +1 more source

Transcriptional network analysis of PTEN‐protein‐deficient prostate tumors reveals robust stromal reprogramming and signs of senescent paracrine communication

Molecular Oncology, EarlyView.
Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice, Jose I. Lopez, Aitziber Ugalde‐Olano, Maite Zufiaurre, Ianire Astobiza, Natalia Martin‐Martin, Laura Bozal‐Basterra, Saioa Garcia‐Longarte, Amaia Zabala‐Letona, Sofia Rey, Aida Santos‐Martin, Miguel Unda, Ana Loizaga‐Iriarte, Mariona Graupera, Paolo Nuciforo, Arkaitz Carracedo, Isabel Mendizabal   +16 more
wiley   +1 more source

A Weberized Total Variation Regularization-Based Image Multiplicative Noise Removal Algorithm

EURASIP Journal on Advances in Signal Processing, 2010
Multiplicative noise removal is of momentous significance in coherent imaging systems and various image processing applications. This paper proposes a new nonconvex variational model for multiplicative noise removal under the Weberized total variation ...
Xiao Liang, Huang Li-Li, Wei Zhi-Hui
doaj   +2 more sources

The new wave structures to the perturbed NLSE via Wiener process with its wide-ranging applications

AIP Advances, 2023
This article extracts stochastic soliton waves for the perturbed nonlinear Schödinger’s equation (PNLSE) forced by multiplicative noise through the Itô sense by utilizing two unified solver methods.
E. S. Aly, M. A. Sohaly, S. Z. Hassan, Noorjahan Abdul Azees, M. Daher Albalwi, Leema Aliyarukunju, Nadia A. Askar   +6 more
doaj   +1 more source

On a Multiplicative Partition Function [PDF]

The Electronic Journal of Combinatorics, 2000
Let $D(s)=\sum^\infty_{m=1}a_mm^{-s}$ be the Dirichlet series generated by the infinite product $\prod^\infty_{k=2}(1-k^{-s})$. The value of $a_m$ for squarefree integers $m$ with $n$ prime factors depends only on the number $n$, and we let $f(n)$ denote this value.
openaire   +2 more sources

Diffusion‐based size determination of solute particles: a method adapted for postsynaptic proteins

FEBS Open Bio, EarlyView.
We present a diffusion‐based approach for measuring the size of macromolecules and their complexes, and demonstrate its use on postsynaptic proteins. The method requires fluorescein‐labelled protein samples, a microfluidic device that maintains laminar flow for said samples, a microscope recording the emitted fluorescent signals, and an analytic ...
András László Szabó, Eszter Nagy‐Kanta, Soma Varga, Edit Andrea Jáger, Csaba István Pongor, Mária Laki, András József Laki, Zoltán Gáspári   +7 more
wiley   +1 more source

Simulating multi-fractal sea clutter and surface based on the random multiplicative model

The Journal of Engineering, 2019
It has been proved that the multi-fractal sea clutter can be simulated by the three-partitioned random multiplicative model. This study constructs multi-fractal sequences with similar multiplicative factors of the sea clutter of the IPIX radar and ...
Caiping Xi, Gang Xiong, Yonghong Yang, Si Chen   +3 more
doaj   +1 more source