SOME PROPERTIES OF THE DIRICHLET TYPE INTEGRALS

Ralitsa Angelova-Slavova; Dimiter Tsvetkov

doi:10.68302/std2026.vol3.38

Authors

Ralitsa Angelova-Slavova Department of Communication and Information Systems, ''Vasil Levski'' National Military University, Veliko Tarnovo, Bulgaria
Dimiter Tsvetkov Department of Communication and Information Systems, ''Vasil Levski'' National Military University, Veliko Tarnovo, Bulgaria

DOI:

https://doi.org/10.68302/std2026.vol3.38

Keywords:

Dirichlet integral, Feynman integration method, Lobachevsky integral formula

Abstract

This article considers the Dirichlet type integrals, for which closed form formulas have been obtained. In particular, it is proven that all these integrals are rational numbers. Feynman's method for integral calculating is also used in the work. The integrals considered are related to a remarkable Lobachevsky formula, described at the end.

Supporting Agencies

The authors are grateful to the department colleagues for the support of this publication, which was developed in connection with the national project BG05M2OP001-2.016-0003 "Modernization of the National Military University "Vasil Levski" and Sofia University "St. Kliment Ohridski".

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