Results 31 to 40 of about 13,300 (186)
Enhanced Gauge Symmetry in Three-Moduli Models of Type-II String and Hypergeometric Series [PDF]
, 1997 The conifold singularities in the type-II string are considered as the points of phase transition. In some cases, these singularities can be understood in the framework of the conventional fields theores as the points of enhanced gauge symmetry.
Hisao Suzuki, Klemm A.
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Derivatives of any Horn-type hypergeometric functions with respect to their parameters
Nuclear Physics B, 2020 We consider the derivatives of Horn hypergeometric functions of any number of variables with respect to their parameters. The derivative of such a function of n variables is expressed as a Horn hypergeometric series of n+1 infinite summations depending ...
Vladimir V. Bytev, Bernd A. Kniehl
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On 2-variable q-Hermite polynomials
AIMS Mathematics, 2021 The quantum calculus has emerged as a connection between mathematics and physics. It has wide applications, particularly in quantum mechanics, analytic number theory, combinatorial analysis, operation theory etc.
Nusrat Raza +3 more
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A note on totally regular variables and Appell sequences in hypercomplex function theory [PDF]
, 2013 Series title : Lecture notes in computer science, vol. 7971, ISSN 0302-9743The aim of our contribution is to call attention to the relationship between totally regular variables, introduced by R. Delanghe in 1970, and Appell sequences with respect to the
F. Brackx +10 more
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Appell polynomials and their relatives [PDF]
, 2004 This paper summarizes some known results about Appell polynomials and investigates their various analogs. The primary of these are the free Appell polynomials.
Anshelevich, Michael
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Exploring the strong-coupling region of SU(N) Seiberg-Witten theory
Journal of High Energy Physics, 2022 We consider the Seiberg-Witten solution of pure N $$ \mathcal{N} $$ = 2 gauge theory in four dimensions, with gauge group SU(N). A simple exact series expansion for the dependence of the 2(N − 1) Seiberg-Witten periods a I (u), a DI (u) on the N − 1 ...
Eric D’Hoker +2 more
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MathematicsIn this paper, by using the zeroth-order q-Tricomi functions, the theory of three-variable q-Legendre-based Appell polynomials is introduced.
Naeem Ahmad, Waseem Ahmad Khan
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q-Calculus as operational algebra; pp. 73–97 [PDF]
Proceedings of the Estonian Academy of Sciences, 2009 This second paper on operational calculus is a continuation of Ernst, T. q-Analogues of some operational formulas. Algebras Groups Geom., 2006, 23(4), 354â374. We find multiple q-analogues of formulas in Carlitz, L.
Thomas Ernst
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Identities for generalized Appell functions and the blow-up formula
, 2015 In this paper, we prove identities for a class of generalized Appell functions which are based on the $\operatorname{A}_2$ root lattice. The identities are reminiscent of periodicity relations for the classical Appell function, and are proven using only ...
Bringmann, Kathrin +2 more
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A New Family of Appell-Type Changhee Polynomials with Geometric Applications
AxiomsRecently, Appell-type polynomials have been investigated and applied in several ways. In this paper, we consider a new extension of Appell-type Changhee polynomials.
Rashad A. Al-Jawfi +2 more
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