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  • Karp, D.; Prilepkina, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The fundamental set of solutions of the generalized hypergeometric differential equation in the neighborhood of unity has been built by Nørlund in 1955. The behavior of the generalized hypergeometric function in the ...
  • Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We introduce the notion of ''hypergeometric'' polynomials with respect to Newtonian bases. We find the necessary and sufficient conditions for the polynomials Pn(x) to be orthogonal. For the special cases where the sets ...
  • Nakazono, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We consider a q-Painlevé IV equation which is the A₄⁽¹⁾-surface type in the Sakai's classification. We find three distinct types of classical solutions with determinantal structures whose elements are basic hypergeometric ...
  • Masuda, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We present the τ-functions for the hypergeometric solutions to the q-Painlevé system of type E₇⁽¹⁾ in a determinant formula whose entries are given by the basic hypergeometric function ₈W₇. By using the W(D₅) symmetry of ...
  • Nakazono, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We consider a q-Painlevé III equation and a q-Painlevé II equation arising from a birational representation of the affine Weyl group of type (A₂+A₁)⁽¹⁾. We study their hypergeometric solutions on the level of τ functions.
  • Nakazono, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We consider q-Painlevé equations arising from birational representations of the extended affine Weyl groups of A⁽¹⁾₄- and (A₁+A₁)⁽¹⁾-types. We study their hypergeometric solutions on the level of τ functions.
  • Heyer, H.; Kawakami, S.; Tsurii, T.; Yamanaka, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The purpose of the present paper is to investigate a hypergroup associated with irreducible characters of a compact hypergroup H and a closed subhypergroup H₀ of H with |H/H₀|<+∞. The convolution of this hypergroup is ...
  • Bielawski, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We discuss hypercomplex and hyperkähler structures obtained from higher degree curves in complex spaces fibring over P¹.
  • Bubnov, V.; Moskalev, E.; Petrovskiy, Y.; Bauer, A.; Hoheisel, J.; Zaporozhan, V. (Experimental Oncology, 2012)
    Aim: Breast cancer (BC) is one of the most common forms of cancer amongst females. Early diagnosis, prognosis and therapy plays crucial role in the survival of patients with breast cancer. The study was aimed on identification ...
  • Goldberg, V.V.; Lychagin, V.V. (2009)
    We find necessary and sufficient conditions for the foliation defined by level sets of a function f(x1, . . . , xn) to be totally geodesic in a torsion-free connection and apply them to find the conditions for d-webs of ...
  • Akram Mohammadpouri (Журнал математической физики, анализа, геометрии, 2018)
    In this paper, we study hypersurfaces in Еⁿ⁺¹ whose Gauss map G satisfies the equation LrG = f(G + C) for a smooth function f and a constant vector C, where Lr is the linearized operator of the (r+1)-st mean curvature of ...
  • Burlaka, A.; Lukin, S.; Prylutska, S.; Remeniak, O.; Prylutskyy, Yu.; Shuba, M.; Maksimenko, S.; Ritter, U.; Scharff, P. (Experimental Oncology, 2010)
    It is proposed to use the novel paradigm of treating cancer with hyperthermic therapy using multi-walled carbon nanotubes (MWCNT) stimulated with near infrared (NIR) irradiation. Aim: To establish the capacity of MWCNT ...
  • Fuller, B.J.; Green, C.J. (Проблемы криобиологии и криомедицины, 2005)
  • Valkovskaya, N.V. (Experimental Oncology, 2008)
    One of the most characteristic features of malignant tissue is the high level of intratumoral hypoxia, which is considered as a powerful factor for induction of tumor aggressiveness and malignant progression. Pancreatic ...
  • Kolesnik, D.L.; Pyaskovskaya, O.N.; Boichuk, I.V.; Solyanik, G.I. (Experimental Oncology, 2014)
    It is known that glycolysis contributes to the survival of tumor cells by providing them with energetic and plastic substrates. Dichloroacetate (DCA) as inhibitor of kinase pyruvate dehydrogenase shifts balance of energy ...
  • Agafonov, A.V.; Lebedev, A.N. (Вопросы атомной науки и техники, 2004)
    Computer simulations of beam formation in an electron gun with large compression of a thin annular beam show some hysteresis effects: a beam with different currents can exist in the same external conditions. The results ...
  • Ledney, M.F.; Tarnavsky, A.S. (Functional Materials, 2011)
  • Likhachev, O.A.; Koval, Yu.M. (Успехи физики металлов, 2015)
    In the present review paper, we show that a successful description of the irreversible evolution of macroscopic variables during the martensitic transformations caused by hysteresis is possible with using a special type ...
  • Stefanovich, L.I. (Физика низких температур, 1999)
    The field dependence of the order parameter is investigated theoretically, using a statistical approach within the framework of the Ginzburg-Landau model with respect to the ferroelectric phase transition. It is found that, ...
  • Prokhvatilov, A.I.; Galtsov, N.N.; Legchenkova, I.V.; Strzhemechny, M.A.; Cassidy, D.; Gadd, G.E.; Moricca, S.; Sundqvist, B.; Aksenova, N.A. (Физика низких температур, 2005)
    Polycrystalline fullerite С₆₀ intercalated with Xe atoms at 575 K and a pressure of 200 MPa was studied by powder x-ray diffraction. The integrated intensities of a few brighter reflections have been utilized to evaluate ...