Results 51 to 60 of about 549,355 (294)
$p$-Adic hypergeometric functions in the connections with certain twisted Kloosterman sheaf sum and modular forms [PDF]
arXiv, 2020 In this paper we establish certain identities connecting $p$-adic hypergeometric functions with 4-th twisted Kloosterman sheaf sum. To prove these identities we express certain character sum over finite field in terms of special values of $p$-adic hypergeometric functions.
arxiv
Rational Hypergeometric Functions
Compositio Mathematica, 1999 Multivariate hypergeometric functions associated with toric varieties were introduced by Gel'fand, Kapranov and Zelevinsky. Singularities of such functions are discriminants, that is, divisors projectively dual to torus orbit closures. We show that most of these potential denominators never appear in rational hypergeometric functions.
Cattani, E, Dickenstein, A, Sturmfels, B
openaire +3 more sources
Hypergeometric Series, Truncated Hypergeometric Series, and Gaussian Hypergeometric Functions [PDF]
, 2016 25 ...
Holly Swisher +4 more
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Advanced Biology, EarlyView.The axolotl's remarkable regenerative abilities decline with age, the causes may include the numerous repetitive elements within its genome. This study uncovers how Ty3 retrotransposons and coexpression networks involving muscle and immune pathways respond to aging and regeneration, suggesting that transposons respond to physiological shifts and may ...
Samuel Ruiz‐Pérez +8 more
wiley +1 more source
A Connection Formula for the q-Confluent Hypergeometric Function
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We show a connection formula for the $q$-confluent hypergeometric functions ${}_2varphi_1(a,b;0;q,x)$. Combining our connection formula with Zhang's connection formula for ${}_2varphi_0(a,b;-;q,x)$, we obtain the connection formula for the $q$-confluent ...
Takeshi Morita
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Necessity and sufficiency for hypergeometric functions to be in a subclass of analytic functions
Journal of the Egyptian Mathematical Society, 2015 The purpose of this paper is to introduce necessary and sufficient condition of (Gaussian) hypergeometric functions to be in a subclass of uniformly starlike and uniformly convex functions.
M.K. Aouf, A.O. Mostafa, H.M. Zayed
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Stimulated Raman Scattering with Optical Vortex Beams
Advanced Photonics Research, EarlyView.This study presents exact analytical expressions for stimulated Raman scattering with Laguerre‐Gaussian beams, revealing signal dependence on topological and hyperbolic momentum. The results provide a theoretical foundation for coherent Raman imaging and detecting orbital angular momentum of light via structured light in nonlinear optics.
Minhaeng Cho
wiley +1 more source
Certain Properties of q-Hypergeometric Functions
International Journal of Mathematics and Mathematical Sciences, 2015 The quotients of certain q-hypergeometric functions are presented as g-fractions which converge uniformly in the unit disc. These results lead to the existence of certain q-hypergeometric functions in the class of either q-convex functions, PCq, or q ...
Uzoamaka A. Ezeafulukwe, Maslina Darus
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Properties and Applications of Extended Hypergeometric Functions
Ingeniería y Ciencia, 2014 In this article, we study several properties of extended Gauss hypergeometric and extended confluent hypergeometric functions. We derive several integrals, inequalities and establish relationship between these and other special functions.
Daya Krishna Nagar +2 more
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On quotients and differences of hypergeometric functions [PDF]
Journal of Inequalities and Applications, 2011 Abstract For Gaussian hypergeometric functions F(x) = F(a, b; c; x), a, b, c > 0, we consider the quotient Q F (x, y) = (F(x) + F(y))/F(z) and the difference D F (x, y) = F(x) + F(y) - F(z) for 0 < x, y < 1 with z = x + y - xy.
Slavko Simic, Matti Vuorinen
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