Results 41 to 50 of about 575,831 (281)

On the Intersections of the Components of a Difference Polynomial [PDF]

Proceedings of the American Mathematical Society, 1955
The purpose of this note is to prove the following theorem: Solutions common to two distinct components' of the manifold of a difference polynomial annul the separants of the polynomial. We begin by considering a field I, not necessarily a difference field, and a set of polynomials F,, F2,, * * *, Fp in K[ul, * , u.; xl, * *I* xp], the ui and xj being ...
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Value distribution of difference and q-difference polynomials [PDF]

Advances in Difference Equations, 2013
In this paper, we investigate the value distribution of difference polynomial and obtain the following result, which improves a recent result of K. Liu and L.Z. Yang: Let f be a transcendental meromorphic function of finite order σ , c be a nonzero constant, and α(z) ≡ 0 be a small function of f ,a nd let P(z )= anz n + an-1z n-1 + ··· + a1z ...
Nan Li, Lianzhong Yang
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On Gould–Hopper-Based Fully Degenerate Poly-Bernoulli Polynomials with a q-Parameter

Mathematics, 2019
We firstly consider the fully degenerate Gould⁻Hopper polynomials with a q parameter and investigate some of their properties including difference rule, inversion formula and addition formula.
Ugur Duran, Patrick Njionou Sadjang
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On a characterization of polynomials by divided differences [PDF]

Aequationes Mathematicae, 1994
We consider the functional equationf[x1,x2,⋯, xn] =h(x1 + ⋯ +xn) (x1,⋯,xn ∈K, xj ≠xk forj ≠ k), (D) wheref[x1,x2,⋯,xn] denotes the (n − 1)-st divided difference off and ...
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A note on generalized q-difference equations for general Al-Salam–Carlitz polynomials

Advances in Difference Equations, 2020
In this paper, we deduce the generalized q-difference equations for general Al-Salam–Carlitz polynomials and generalize Arjika’s recent results (Arjika in J. Differ. Equ. Appl. 26:987–999, 2020).
Jian Cao, Binbin Xu, Sama Arjika
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A review of artificial intelligence in brachytherapy

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Artificial intelligence (AI) has the potential to revolutionize brachytherapy's clinical workflow. This review comprehensively examines the application of AI, focusing on machine learning and deep learning, in various aspects of brachytherapy.
Jingchu Chen, Richard L. J. Qiu, Tonghe Wang, Shadab Momin, Xiaofeng Yang   +4 more
wiley   +1 more source

Sequences of twice-iterated Δw-Gould–Hopper Appell polynomials

Journal of Taibah University for Science
In this paper, we introduce general sequence of twice-iterated [Formula: see text]-(degenerate) Gould–Hopper Appell polynomials (TI-DGHAP) via discrete [Formula: see text]-Gould–Hopper Appell convolution. We obtain some of their characteristic properties
Neslihan Biricik, Bayram Çekim, Mehmet Ali Özarslan   +2 more
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Dosimetric effect of silicone‐based gel on skin surface during volumetric modulated arc therapy for breast cancer

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Purpose This study aims to quantify and compare the dosimetric effects of varying thicknesses of StrataXRT, a silicone‐based gel, and other topical agents on the skin surface during volumetric modulated arc therapy (VMAT) for breast cancer.
Tenyoh Suzuki, Shingo Ohira, Mami Ogita, Takeshi Ohta, Yuki Nozawa, Masanari Minamitani, Takuya Hayashi, Shigeki Saegusa, Toshikazu Imae, Tsuyoshi Ueyama, Atsuto Katano, Hideomi Yamashita, Weishan Chang, Keiichi Nakagawa   +13 more
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Decomposition of ordinary difference polynomials

Journal of Symbolic Computation, 2009
AbstractIn this paper, we present an algorithm to decompose ordinary non-linear difference polynomials with rational functions as coefficients. The algorithm provides an effective reduction of the decomposition of difference polynomials to the decomposition of linear difference polynomials over the same coefficient field.
Mingbo Zhang, Xiao-Shan Gao
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Design and validation of a novel dosimetry phantom for motion management audits

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Background We present a novel phantom design for conducting end‐to‐end dosimetry audits for respiratory motion management of two anatomical treatment sites. The design enables radiochromic film measurements of the dose administered to the target throughout the respiratory cycle (motion‐included) and the dose delivered to the time‐averaged ...
Alex Burton, Sabeena Beveridge, Nicholas Hardcastle, Silvio Malfitana, Janaka Madamperuma, Rick Franich   +5 more
wiley   +1 more source