Results 1 to 10 of about 277,238 (258)

New Curious Bilateral q-Series Identities [PDF]

Axioms, 2012
By applying a classical method, already employed by Cauchy, to a terminating curious summation by one of the authors, a new curious bilateral q-series identity is derived.
Frédéric Jouhet, Michael J. Schlosser
doaj   +5 more sources

Simultaneous bilateral shoulder arthroplasty: a case series

Journal of Shoulder and Elbow Surgery, 2022
Staged bilateral shoulder arthroplasty procedures have been shown to have good functional outcomes. The next step is to explore the option of simultaneous bilateral shoulder arthroplasty (SBSA). We report on the first case series of SBSA in the United States.
Medina G, Wassim Mourad, J Michael Wiater   +2 more
exaly   +3 more sources

Some transformations on the bilateral series ${}_2\psi_2$;

Rocky Mountain Journal of Mathematics, 2014
The authors study the bilateral series \({}_2\psi_2\) and derive some transformation formulas in terms of unilateral basic hypergeometric series. First of all, they derive a transformation formula for a certain bilateral \({}_2\psi_2\) series as a linear combination of two unilateral \({}_2\phi_1\) series.
Zhizheng Zhang
exaly   +3 more sources

Tumbling Athletes Sustain Highest Rate of Bilateral Elbow Osteochondritis Dissecans Lesions and May Benefit from Screening [PDF]

Orthopaedic Journal of Sports Medicine
Background: Osteochondritis dissecans (OCD) lesions commonly present at the capitellum, particularly among athletes who participate in overhead sports or impact load through their upper extremity.
Brendon Mitchell MD, Kevin Landrum BS, Gavin Rallis MD, Stone Streeter BS, Casey Kuka BS, Rashika Pasula BS, Akbar Syed MD, Joseph Yellin MD, Apurva Shah MD MBA, Theodore Ganley MD, J. Todd Lawrence MD PhD   +10 more
doaj   +2 more sources

Atypical Bilateral Posterior Semicircular Canalolithiasis – A Case Series

Annals of Indian Academy of Neurology
Barany Society includes bilateral typical posterior semicircular canal benign paroxysmal positional vertigo (PSC-BPPV) in its classification of multicanal subtype.
Ajay K Vats, Shreya Vats, Sudhir Kothari, Nishant Aswani   +3 more
doaj   +3 more sources

Application of the residue theorem to bilateral hypergeometric series

Le Matematiche, 2007
The application of the residue theorem to bilateral hypergeometric series identities is systematically reviewed by exemplifying three classes of summation theorems due to Dougall (1907), Jackson (1949, 1952) and Slater-Lakin (1953).
Wenchang Chu, Xiaoxia Wang, Deyin Zheng
doaj   +2 more sources

Bilateral inversions and terminating basic hypergeometric series identities

Discrete Mathematics, 2009
A \(q\)-analogue of the Legendre inversion is established and generalized to bilateral sequences. They are employed to investigate the dual relations of three basic formulae due to Jackson and Bailey, on balanced \(_{3}\phi_{2}\)-series, well-poised \(_{8}\phi_{7}\)-series and bilateral \(_{6}\psi_{6}\)-series.
Wenchang Chu, Chenying Wang
exaly   +4 more sources

On certain transformations of poly-basic bilateral hypergeometric series

Journal of Computational and Applied Mathematics, 2003
The authors establish transformations of poly-basic bilateral hypergeometric series in terms of another similar series not necessary having the same number of bases. As application of the obtained results, they derive expressions of the product of two \(q\)-series in terms of another product of two series which lead to interesting transformations of ...
Denis, Remy Y., Singh, S.N., Singh, S.P.
exaly   +3 more sources

Recurrent stroke in young adults caused by atypical fibromuscular carotid dysplasia

Radiology Case Reports, 2022
Background: Carotid Web and focal carotid diaphragm are atypical fibromuscular dysplasia. The bilateral stroke due to this dysplasia is extremely rare.
Yahya Charifi, MD, Siham Bouchal, PhD, Ghita Sekkat, MD, Farid Aassouani, MD, Nizar El Bouardi, PhD, Meryem Haloua, PhD, Badreeddine Alami, PhD, Meryem Boubbou, PhD, Mohamed Faouzi Belahsen, PhD, Mustapha Maaroufi, PhD, Moulay Youssef Alaoui Lamrani, PhD   +10 more
doaj   +1 more source

Bilateral Retinitis Pigmentosa with Bilateral Microphakia: An Uncommon Association

Delhi Journal of Ophthalmology, 2022
A series of progressive inherited retinal dystrophies known as retinitis pigmentosa include degeneration of rods followed by the loss of cone photoreceptors.
Anupriya Aggarwal, Rajwinder Kaur, Balbir Khan, Priyanka Dahiya   +3 more
doaj   +1 more source