Results 21 to 30 of about 7,337,590 (301)

Beta function and anomalous dimensions [PDF]

Physical Review D, 2011
Version to match the published one in Phys. Rev. D. We added several tables demonstrating how well the prediction for the anomalous dimensions at the fixed point obtained via the all-orders beta function compares with the one obtained in perturbation theory.
Pica, Claudio, Sannino, Francesco
openaire   +2 more sources

Integral Representations of the Catalan Numbers and Their Applications

Mathematics, 2017
In the paper, the authors survey integral representations of the Catalan numbers and the Catalan–Qi function, discuss equivalent relations between these integral representations, supply alternative and new proofs of several integral representations ...
Feng Qi, Bai-Ni Guo
doaj   +1 more source

Some identities on truncated polynomials associated with Lah-Bell polynomials

Applied Mathematics in Science and Engineering, 2023
Recently, Kim-Kim introduced the truncated degenerate Bell polynomials and numbers. In this paper, we introduce the truncated Lah-Bell polynomials and numbers. We obtain some identities, recurrence relations and properties. Furthermore, we also introduce
Lingling Luo, Yuankui Ma, Taekyun Kim, Wencong Liu   +3 more
doaj   +1 more source

Recurrent identities for two special functions of hypergeometric type

Вестник Самарского университета: Естественнонаучная серия, 2023
The article presents conclusions and proofs of Gauss-type identities for two known hypergeometric type functions. For the derivation and justification of formulas, the representation of functions in the form of a series is used, as well as an integral ...
Svetlana V. Podkletnova
doaj   +1 more source

Homogeneous Beta-type functions [PDF]

Journal of Classical Analysis, 2017
All beta-type functions, which are p-homogeneous, are determined. Applying this result, we show that a beta-type function is a homogeneous mean iff it is the harmonic one. A reformulation of a result due to Heuvers in terms of a Cauchy difference and the harmonic mean is given.
Himmel, Martin, Matkowski, Janusz
openaire   +3 more sources

Epigenetic downregulation of human disabled homolog 2 switches TGF-beta from a tumor suppressor to a tumor promoter [PDF]

, 2010
The cytokine TGF-beta acts as a tumor suppressor in normal epithelial cells and during the early stages of tumorigenesis. During malignant progression, cancer cells can switch their response to TGF-beta and use this cytokine as a potent oncogenic factor;
Hiller, L, Monteverde, M, Louise Hiller, Shah, Reshma, Kalna, G., Karin A. Oien, Jonathan A. Cooper, Maurer, M.E., O'Brien, Darren I, Jelena Mann, Oien, KA, Frame, MC, Frame, Margaret C., David C. K. Chu, Crook, T., Chu, David C K, Lo Nigro, Cristiana, Lattanzio, L., Orange, Clare, Spender, Lindsay C., Chu, D.C.K., Thurlow, JK, Thurlow, Johanna K., Shah, R, Linda J. Nicholson, Syed, Nelofer, Harris, Adrian L, Orange, Cl., O'Brien, Darren I., Maurer, Meghan E., Shah, R., Nicholson, LJ, Hiller, Louise, Cooper, J.A., Inman, GJ, Monteverde, M., Mann, Jelena, Inman, Gareth J., Harris, AL., Syed, N, Cristiana Lo Nigro, Buffa, FM, Darren I. O’Brien, West, CML, Gasco, Milena, Smith, P, Crook, Tim, Monteverde, Martino, Meghan E. Maurer, Buffa, Francesca M., Kalna, Gabriela, O Brien, DI, Patridge, Max, Hannigan, A., Patridge, M., Paul Smith, Francesca M. Buffa, Cooper, Jonathan A, Mann, J, Oien, Karin A, Crook, T, Spender, Lindsay C.; id_orcid, Reshma Shah, Smith, Paul J., Lattanzio, L, Orange, C, Catharine M. L. West, Kalna, G, Cooper, JA, Max Patridge, Smith, Paul, Johanna K. Thurlow, Margaret C. Frame, Nicholson, Linda J., O'Brien, D.I., Spender, LC, and Gareth J. Inman, Buffa, Francesca M, O'Brien, Darren I., West, Catharine M L, Herrera, Blanca, Gasco, M., Adèle Hannigan, Smith, P., Frame, MC., Milena Gasco, Lo Nigro, C., Inman, Gareth J, Herrera, B, Oien, K.A., Frame, Margaret C, Laura Lattanzio, Gabriela Kalna, West, Catharine M. L., Nicholson, Linda J, Tim Crook, West, C.M.L., Nelofer Syed, Chu, DCK, Blanca Herrera, West, Catharine M L; id_orcid, Hannigan, Adèle, Thurlow, Johanna K, Mann, J., Spender, Lindsay C, Gasco, M, Clare Orange, Martino Monteverde, Patridge, M, Buffa, F.M., Maurer, Meghan E, David C.K. Chu, Chu, David C. K., Nicholson, L.J., Harris, AL, Spender, L.C., Lindsay C. Spender, Catharine M.L. West, Herrera, B., Hannigan, A, Maurer, ME, Cooper, Jonathan A., Oien, Karin A., Lo Nigro, C, Adrian L. Harris, Inman, G.J., Gareth J. Inman, Harris, Adrian L., Thurlow, J.K., Syed, N., Lattanzio, Laura   +130 more
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New extension of beta, Gauss and confluent hypergeometric functions

Cumhuriyet Science Journal, 2021
There are many extensions and generalizations of Gamma and Beta functions in the literature. However, a new extension of the extended Beta function B_(ζ〖, α〗_1)^(α_2;〖 m〗_1,〖 m〗_2 ) (a_1,a_2 ) was introduced and presented here because of its important ...
Umar Muhammad Abubakar, Muhammad Lawan Kaurangini   +1 more
doaj   +1 more source

A simple matter of life and death : the trials of postnatal beta-cell mass regulation [PDF]

, 2012
Pancreatic beta-cells, which secrete the hormone insulin, are the key arbiters of glucose homeostasis. Defective beta-cell numbers and/or function underlie essentially all major forms of diabetes and must be restored if diabetes is to be cured. Thus, the
Elena Tarabra, Khan, Michael, Stella Pelengaris, Michael Khan, Tarabra, Elena, Pelengaris, Stella   +5 more
core   +1 more source

A Distributed Bi-Behaviors Crow Search Algorithm for Dynamic Multi-Objective Optimization and Many-Objective Optimization Problems

Applied Sciences, 2022
Dynamic Multi-Objective Optimization Problems (DMOPs) and Many-Objective Optimization Problems (MaOPs) are two classes of the optimization field that have potential applications in engineering.
Ahlem Aboud, Nizar Rokbani, Bilel Neji, Zaher Al Barakeh, Seyedali Mirjalili, Adel M. Alimi   +5 more
doaj   +1 more source

TGF-beta 1-induced epithelial-to-mesenchymal transition and therapeutic intervention in diabetic nephropathy [PDF]

, 2010
Background/Aims: Epithelial-to-mesenchymal cell transformation (EMT) is the trans-differentiation of tubular epithelial cells into myofibroblasts, an event underlying progressive chronic kidney disease in diabetes, resulting in fibrosis.
Hills, Claire E., Squires, Paul E.
core   +1 more source