We discuss a progress in calculation of Feynman integrals which has been done with help of the Gegenbauer Polynomial Technique and demonstrate the results for most complicated parts of O(1/N^3) contributions to critical exponents of \phi^4 -theory, for any spacetime dimensionality D
AbstractWe show that the use of generalized multivariable forms of Hermite polynomials provide a use...
AbstractThis is the second part of a study of the inversion for a Sturm–Liouville difference equatio...
Through more detailed calculations on QED$_{1+1}$ and QED$_{3+1}$ employing a new treatment of Feynm...
AbstractIn this paper, the third term in the asymptotic expansion of the entropy for orthonormal Geg...
AbstractSome aspects of duality for the classical orthogonal polynomials are explained. Duality deal...
We present an efficient algorithm for calculating multiloop Feynman integrals perturbativel
AbstractThe generating functional for scalar theories admits a representation which is dual with res...
AbstractWe investigate a method for the numerical evaluation of integrals over [-1,1] of functions o...
AbstractWe prove addition formulas for some polynomials built on combinatorial sequences (Catalan nu...
AbstractIn this work, we propose two new methods for the determination of new identities for Bell's ...
Exact path integration for the one dimensional potential $V=b^2\cos 2q$ which describes the finite a...
AbstractWe establish several sharp two-sided inequalities involving the constants of Landau and Lebe...
AbstractLet P be a quadratic form in n variables and signature (p,q). The hypersurface P=0 is a hype...
The worldline formalism shares with string theory the property that it allows one to write down mast...
AbstractThe method of differentiation by integration due to Lanczos is generalized to cover derivati...
AbstractWe show that the use of generalized multivariable forms of Hermite polynomials provide a use...
AbstractThis is the second part of a study of the inversion for a Sturm–Liouville difference equatio...
Through more detailed calculations on QED$_{1+1}$ and QED$_{3+1}$ employing a new treatment of Feynm...
AbstractIn this paper, the third term in the asymptotic expansion of the entropy for orthonormal Geg...
AbstractSome aspects of duality for the classical orthogonal polynomials are explained. Duality deal...
We present an efficient algorithm for calculating multiloop Feynman integrals perturbativel
AbstractThe generating functional for scalar theories admits a representation which is dual with res...
AbstractWe investigate a method for the numerical evaluation of integrals over [-1,1] of functions o...
AbstractWe prove addition formulas for some polynomials built on combinatorial sequences (Catalan nu...
AbstractIn this work, we propose two new methods for the determination of new identities for Bell's ...
Exact path integration for the one dimensional potential $V=b^2\cos 2q$ which describes the finite a...
AbstractWe establish several sharp two-sided inequalities involving the constants of Landau and Lebe...
AbstractLet P be a quadratic form in n variables and signature (p,q). The hypersurface P=0 is a hype...
The worldline formalism shares with string theory the property that it allows one to write down mast...
AbstractThe method of differentiation by integration due to Lanczos is generalized to cover derivati...
AbstractWe show that the use of generalized multivariable forms of Hermite polynomials provide a use...
AbstractThis is the second part of a study of the inversion for a Sturm–Liouville difference equatio...
Through more detailed calculations on QED$_{1+1}$ and QED$_{3+1}$ employing a new treatment of Feynm...