Results 31 to 40 of about 5,729 (101)
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
doaj +1 more source
Multichannel conformal blocks for scattering amplitudes
Physics Letters B, 2018 By performing resummation of small fermion–antifermion pairs within the pentagon form factor program to scattering amplitudes in planar N=4 superYang–Mills theory, we construct multichannel conformal blocks within the flux-tube picture for N-sided NMHV ...
A.V. Belitsky
doaj +1 more source
Motions about a fixed point by hypergeometric functions: new non-complex analytical solutions and integration of the herpolhode [PDF]
, 2018 We study four problems in the dynamics of a body moving about a fixed point, providing a non-complex, analytical solution for all of them. For the first two, we will work on the motion first integrals. For the symmetrical heavy body, that is the Lagrange-
Ritelli, Daniele +1 more
core +2 more sources
Special values of the hypergeometric series [PDF]
, 2013 In this paper, we present a new method for finding identities for hypergeoemtric series, such as the (Gauss) hypergeometric series, the generalized hypergeometric series and the Appell-Lauricella hypergeometric series.
Akihito Ebisu
semanticscholar +1 more source
On the q-Analogues of Srivastava’s Triple Hypergeometric Functions
Axioms, 2013 We find Euler integral formulas, summation and reduction formulas for q-analogues of Srivastava’s three triple hypergeometric functions. The proofs use q-analogues of Picard’s integral formula for the first Appell function, a summation formula for the ...
Thomas Ernst
doaj +1 more source
Scalar 1-loop Feynman integrals as meromorphic functions in space-time dimension d [PDF]
, 2018 The long-standing problem of representing the general massive one-loop Feynman integral as a meromorphic function of the space-time dimension $d$ has been solved for the basis of scalar one- to four-point functions with indices one.
Phan, Khiem Hong, Riemann, Tord
core +4 more sources
Two-loop kite master integral for a correlator of two composite vertices
Journal of High Energy Physics, 2019 We consider the most general two-loop massless correlator I(n 1 , n 2 , n 3 , n 4 , n 5; x, y; D) of two composite vertices with the Bjorken fractions x and y for arbitrary indices {n i } and space-time dimension D; this correlator is represented by a ...
S. V. Mikhailov, N. Volchanskiy
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On the Connections between Certain Class of New Quadruple and Known Triple Hypergeometric Series
Tamap Journal of Mathematics and Statistics, 2019 We aim in this work at establishing interesting operational connections between new quadruple hypergeometric series ) 30 , , 1 ( ) 4 ( = i X i defined in [9] and certain class of triple series involving of Exton’s functions 1 X to 20 X , Srivastava's ...
M. Bin-Saad, J. A. Younis
semanticscholar +1 more source
Monodromy representations of hypergeometric systems with respect to fundamental series solutions [PDF]
, 2015 We study the monodromy representation of the generalized hypergeometric differential equation and that of Lauricella's $F_C$ system of hypergeometric differential equations.
Keiji Matsumoto
semanticscholar +1 more source
Advances in High Energy Physics, Volume 2018, Issue 1, 2018., 2018 Nonsingular Ayon‐Beato‐Garcia (ABG) spherically symmetric static black hole (BH) with charge to mass ratio q = g/2m is metric solution of Born Infeld nonlinear Maxwell‐Einstein theory. Central region of the BH behaves as (anti‐)de Sitter for (|q | > 1) | q | < 1.
H. Ghaffarnejad +3 more
wiley +1 more source