Results 21 to 30 of about 7,034,397 (298)

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
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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
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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
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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
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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
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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
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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., O'Brien, DI, West, CM, 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, Chu, DC, 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   +133 more
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Probabilistic Machine Learning Using Bayesian Inference

Undergraduate Journal of Mathematical Modeling: One + Two, 2020
Machine Learning is a branch of AI (Artificial Intelligence) which expands on the idea of a computational system extending its knowledge about set methodical behaviors from the data that is fed to it to essentially develop analytical skills that can help
Mayank Pandey
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Another q-Extension of the Beta Function [PDF]

Proceedings of the American Mathematical Society, 1981
Another q q -extension of the beta function is given.
Andrews, George E., Askey, Richard
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Beta-functions and superstring compactifications

Physics Letters B, 1986
It is shown that quartic curvature modifications to the gravitational effective action derived from superstrings agree on Ricci-flat Kahler backgrounds with a recently-proposed four-loop counterterm in N = 2 Ricci-flat σ-models. These results seem to suggest that Calabi-Yau manifolds may not provide consistent compactifications of the superstring.
M.D. FREEMAN, C.N. POPE
openaire   +1 more source