Transition probability of Brownian motion in the octant and its application to default modelling by Kaushansky, V, Lipton, A, Reisinger, C

“…The main theoretical result is a solution to the original problem expressed as an expansion into special functions and an eigenvalue which has to be chosen to allow a matching of the boundary condition. …”

A Numerical Methodology for the Painlevé Equations by Fornberg, B, Weideman, J

“…The six Painlevé transcendents PI – PVI have both applications and analytic properties that make them stand out from most other classes of special functions. Although they have been the subject of extensive theoretical investigations for about a century, they still have a reputation for being numerically challenging. …”

Holographic S-fold theories at one loop by Behan, C

“…Compared to previous studies, the subsequent analysis is performed without any assumption about which special functions are allowed. Instead, the Casimir singular and Casimir regular terms are extracted iteratively in order to move from one Regge trajectory to the next. …”

David Maurice Brink. 20 July 1930—8 March 2021 by Sukumar, CV, Bonaccorso, A

“…David possessed outstanding skills in mathematical computation, and he was an expert on special functions, group theory and the Feynman path integral method. …”

Structural studies on a family of cAMP-binding proteins in the nervous system of Aplysia. by Eppler, C, Bayley, H, Greenberg, S, Schwartz, J

“…We suggest that the regions of the molecules that differ mediate special functions such as ticketing to particular compartments of the cell. …”

Secrecy outage analysis for downlink transmissions in the presence of randomly located eavesdroppers by Coon, J, Chen, G, Di Renzo, M

“…The expressions for HD systems have very accurate approximate or exact forms in terms of elementary and/or special functions for all path loss exponents. Those related to the FD systems have exact integral forms for general path loss exponents, while exact closed forms are given for specific exponents. …”

On an Auxiliary Function for Log-Density Estimation by Cule, M, Duembgen, L

“…In this note we provide explicit expressions and expansions for a special function which appears in nonparametric estimation of log-densities. …”

Mapping functional brain development: Building a social brain through interactive specialization. by Johnson, M, Grossmann, T, Cohen Kadosh, K

“…Second, they extend the implications of the IS view from the emergence of specialized functions within a cortical region to a focus on how different cortical regions with complementary functions become orchestrated into networks during human postnatal development.…”

Consciousness as the temporal propagation of information by Revach, D, Salti, M

“…Today's dominant models consider consciousness to be a specialized function of the brain characterized by a discrete neural event. …”

Connectivity-based parcellation of human cortex using diffusion MRI: Establishing reproducibility, validity and observer independence in BA 44/45 and SMA/pre-SMA. by Klein, J, Behrens, T, Robson, M, Mackay, C, Higham, D, Johansen-Berg, H

“…The identification of specialized, functional regions of the human cortex is a vital precondition for neuroscience and clinical neurosurgery. …”

ESBMC-GPU A context-bounded model checking tool to verify CUDA programs by Monteiro, F, da S. Alves, E, Silva, I, Ismail, H, Cordeiro, L, de Lima Filho, E

“…The Compute Unified Device Architecture (CUDA) is a programming model used for exploring the advantages of graphics processing unit (GPU) devices, through parallelization and specialized functions and features. Nonetheless, as in other development platforms, errors may occur, due to traditional software creation processes, which may even compromise the execution of an entire system. …”

The mimetic basis of pure music in Machaut's Refrain Songs: Part 2, musical abstraction by Maw, D

“…This situation is at its most extreme in certain rondeaux, representatives of a genre for which a special function in Machaut’s output is argued. Studies of specific groups of songs (B9-R4 and B35-R13-R21) illustrate the gradual development and detachment of material in related compositions. …”

Cell surface mechanics gate embryonic stem cell differentiation by Bergert, M, Lembo, S, Sharma, S, Russo, L, Milovanović, D, Gretarsson, KH, Börmel, M, Neveu, PA, Hackett, JA, Petsalaki, E, Diz-Munoz, A

“…Cell differentiation typically occurs with concomitant shape transitions to enable specialized functions. To adopt a different shape, cells need to change the mechanical properties of their surface. …”

Two common and distinct forms of variation in human functional brain networks by Dworetsky, A, Seitzman, BA, Adeyemo, B, Nielsen, AN, Hatoum, AS, Smith, DM, Nichols, TE, Neta, M, Petersen, SE, Gratton, C

“…The cortex has a characteristic layout with specialized functional areas forming distributed large-scale networks. …”

Search for the standard model Higgs boson produced in association with a Z boson in 7.9 fb -1 of pp- collisions at s=1.96 TeV using the CDF II detector by Aaltonen, T, Álvarez González, B, Amerio, S, Amidei, D, Anastassov, A, Annovi, A, Antos, J, Apollinari, G, Appel, J, Arisawa, T, Artikov, A, Asaadi, J, Ashmanskas, W, Auerbach, B, Aurisano, A, Azfar, F, Badgett, W, Bae, T, Barbaro-Galtieri, A, Barnes, V, Barnett, B, Barria, P, Bartos, P, Bauce, M, Bedeschi, F

“…We utilize several novel techniques, including multivariate lepton selection, multivariate trigger parametrization, and a multi-stage signal discriminant consisting of specialized functions trained to distinguish individual backgrounds. …”

Expression profiling reveals metabolic and structural components of extraocular muscles by Fischer, MD, Gorospe, JR, Felder, E, Bogdanovich, S, Pedrosa-Domellöf, F, Ahima, R, Rubinstein, N, Hoffman, E, Khurana, T

“…Additionally, genes related to specialized functional roles of EOM such as the embryonic and EOM-specific myosin heavy chains and genes for muscle growth, development, and/or regeneration were increased. …”

Expression profiling reveals metabolic and structural components of extraocular muscles. by Fischer, M, Gorospe, JR, Felder, E, Bogdanovich, S, Pedrosa-Domellöf, F, Ahima, R, Rubinstein, N, Hoffman, E, Khurana, T

“…Additionally, genes related to specialized functional roles of EOM such as the embryonic and EOM-specific myosin heavy chains and genes for muscle growth, development, and/or regeneration were increased. …”

Regulation of pulmonary plasma cell responses during secondary infection with influenza virus by Maclean, AJ, Bonifacio Lopes, J, Oram, S, Mohsen, M, Bachmann, M, Arnon, TI

“…Our work demonstrates that spatially distinct mechanisms evolved to support pulmonary secondary PC responses, and it reveals a specialized function for BRM cells as guardians of the alveoli.…”

Molecular characterization of lymphatic endothelial cells. by Podgrabinska, S, Braun, P, Velasco, P, Kloos, B, Pepper, MS, Skobe, M

“…The lymphatic microvasculature is uniquely adapted for the continuous removal of interstitial fluid and proteins and is an important entry point for leukocytes and tumor cells. Specialized functions of lymphatics suggest differences in the molecular composition of the lymphatic and blood vascular endothelium. …”

Proteomic analysis of membrane microdomains derived from both failing and non-failing human hearts. by Banfi, C, Brioschi, M, Wait, R, Begum, S, Gianazza, E, Fratto, P, Polvani, G, Vitali, E, Parolari, A, Mussoni, L, Tremoli, E

“…Eukaryotic cells plasma membranes are organized into microdomains of specialized function such as lipid rafts and caveolae, with a specific lipid composition highly enriched in cholesterol and glycosphingolipids. …”