O. Mykhailiv

collaborators

3 papers

math-ph2026

The $q$ -extension of iterated integrals and nested sums in quantum field theory

J. BlÃ¼mlein, J. Blümlein, A. M. Gavrilik +2

Analytic calculations of zero- and single-scale quantities in perturbative quantum field theory result into special numbers and functions, the first of which have been revealed dur…

hep-th2026

The $I^¼$ -extension of iterated integrals and nested sums

J. BlÃ¼mlein, A. M. Gavrilik, U. Y. Lunga +1

The analytic integration of single-scale Feynman integrals emerging in perturbative calculations in quantum field theories can be performed within special classes of functions, whi…

gr-qc2025

The $I^¼$ -deformed Einstein field equations with $I^¼$ -dependent effective cosmological constant

O. P. Mykhailiv, Yu. A. Mishchenko, A. M. Gavrilik

In this paper, we derive the $I^¼$ -deformed Einstein field equations from the generalized thermodynamic functions of the $I^¼$ -deformed analog of Bose gas model, applying the (adapte…

The q-extension of iterated integrals and nested sums in quantum field theory

The I^¼-extension of iterated integrals and nested sums

The I^¼-deformed Einstein field equations with I^¼-dependent effective cosmological constant

The $q$ -extension of iterated integrals and nested sums in quantum field theory

The $I^¼$ -extension of iterated integrals and nested sums

The $I^¼$ -deformed Einstein field equations with $I^¼$ -dependent effective cosmological constant