An expression of the multivariate sigma function associated with a (n,s)-curve is given in terms of algebraic integrals. As a corollary the first term of the series expansion around the origin of the sigma function is directly proved to be the Schur function determined from the gap sequence at infinity. ∗e-mail: [email protected]

In this manuscript, we present a number of fascinating explicit reconstructions for the f(Q) gravity from background Friedmann-Laîmatre-Robertson-Walker (FLRW) evolution history. We find more general functions non-metricity scalar Q that admit exact ?CDM expansion Adding extra degrees freedom to matter sector is only method get scale factor behave in manner generic Q. addition, cosmological rec...

Based on the F-expansion method, and the extended version of F-expansion method, we investigate the exact solutions of the Kudryashov-Sinelshchikov equation.With the aid ofMaple, more exact solutions expressed by Jacobi elliptic function are obtained. When themodulusmof Jacobi elliptic function is driven to the limits 1 and 0, some exact solutions expressed by hyperbolic function solutions and ...

in this paper a modification of he's variational iteration method (vim) has been employed to solve dung and riccati equations. sometimes, it is not easy or even impossible, to obtain the first few iterations of vim, therefore, we suggest to approximate the integrand by using suitable expansions such as taylor or chebyshev expansions.

G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov, L. Sebastiani, and S. Zerbini Dipartimento di Fisica, Universit‘a di Trento and Istituto Nazionale di Fisica Nucleare Gruppo Collegato di Trento, Italia Consejo Superior de Investigaciones Cientı́ficas ICE/CSIC-IEEC, Campus UAB, Facultat de Ciències, Torre C5-Parell-2a pl, E-08193 Bellaterra (Barcelona) Spain Department of Physics, Nagoya Unive...

We review the application of the critical point large N f self-consistency method to QCD. In particular we derive the O(1/N f) d-dimensional critical exponents whose ǫ-expansion determines the perturbative coefficients in MS of the field dimensions, β-function and various twist-2 operators which occur in the operator product expansion of deep inelastic scattering.