Abstract Several determinants with gamma functions as elements are evaluated. These kinds of determinants are encountered, for example, in the computation of the probability density of the determinant of random matrices. The s-shifted factorial is defined as a generalization for non-negative integers of the power function, the rising factorial (or Pochammer’s symbol) and the falling factorial. ...

Let S = (s1, s2, . . .) be any sequence of nonnegative integers and let Sk = ∑k i=1 si We then define the falling (rising) factorials relative to S by setting (x)↓k,S= (x−S1)(x−S2) · · · (x−Sk) and (x)↑k,S= (x+S1)(x+S2) · · · (x+Sk) if k ≥ 1 with (x)↓0,S= (x)↑0,S= 1. It follows that {(x)↓k,S}k≥0 and {(x)↑k,S}k≥0 are bases for the polynomial ring Q[x]. We use a rook theory model due to Miceli an...

We present a method for detection and classi cation of a spatial pattern in noise contaminated binary images which is based on performing subspace decomposition on a nonnegative de nite matrix of higher order moments of the image. We introduce a method which uses normalized power moments or ascending factorial moments as descriptors. While the set of p-th order factorial moments are in one-to-o...

We survey several results on A-hypergeometric systems of linear partial differential equations introduced by Gelfand, Kapranov and Zelevinsky in the case of integer (and thus resonant) parameters, in particular, those differential systems related to sparse systems of polynomial equations. We also study in particular the case of A-hypergeometric systems for which kerA has rank 1. This allows us ...

the oromandibular-limb hypogenesis syndrome comprises a group of anomalies which simultaneously affect the mandible, tongue, and maxilla with or without reductive limb anomalies. it is characterized by failure of development of the intraoral region and distal extremities. multiple and variable deformities of the mandible, maxilla and tongue may occur in combination with a variety of limb defect...

pediatric traumatic limb amputations are rare and their acute and long term management can be challenging in this subgroup of patients. the lengthy and costly hospital stays, and resulting physical and psychological implications leads to significant morbidity. we present a summary of treatment principles and the evidence base supporting the management options for this entity. the initial manage...

introduction: depending on mode, intensity and length of application, and stage of development, the low-frequency electromagnetic fields (lfes) can induce a wide variety of biological effects in organisms. the chick limb bud is a powerful experimental system for study pattern formation in vertebrate embryo. the aim of this study was to examine the effects of an application lfes (50hz, 50g) on c...

background:   primary bone lymphoma or non-hodgkin lymphoma of bone is a rare disease. there are only a few case series of stage ie of this condition in medical literature. the aim of this study is to determine the rate of survival   for stage ie after combined modality treatment, the rate of local recurrence, and the results of limb salvage in cases   of local recurrence.     methods:   we col...

background: massive bone allograft is an option in cases of limb preservation and reconstruction after massive benign and malignant bone tumor resection. the purpose of this study was to analyze the outcome of these procedures at imam reza hospital, mashhad university of medical sciences. methods: in this study, 113 cases have been presented. eleven cases were excluded (patients has a traumatic...

normal axial alignment restoration in lower extremities is crucial for surgeons performing reconstructive surgeries. since reference normal values of axial alignment are affected by age, sex, and ethical issues, we tried to scrutinize these parameters in iranian adults and compare them with normal values in literatures. through a cross-sectional design, standing axial alignment views of lower e...