Results 21 to 30 of about 1,232,344 (309)

Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications

Ingeniería y Ciencia, 2016
In this article, we define and study generalized forms of extended matrix variate gamma and beta functions. By using a number of results from matrix algebra, special functions of matrix arguments and zonal polynomials we derive a number of properties of ...
Daya K. Nagar, Sergio Alexander Gómez-Noguera, Arjun K Gupta   +2 more
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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
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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
doaj   +1 more source

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

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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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

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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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
openaire   +1 more source

Wnt/beta-catenin/Tcf signaling: A critical pathway in gastrointestinal tumorigenesis [PDF]

, 2002
Cancers of the gastrointestinal tract, including the liver, bile ducts, and pancreas, constitute the largest group of malignant tumors. Colorectal cancer is one of the most common neoplastic diseases in Western countries and one of the leading causes of ...
Bommer, G., Göke, Burkhard, Göke, B., Kolligs, Frank T, Bommer, Guido, Kolligs, F. T.   +5 more
core   +1 more source