Work

Series over Bessel Functions as Series in Terms of Riemann’s Zeta Function

Year: 2024

Type: article

Abstract: Relying on the Hurwitz formula, we find closed-form formulas for the series over sine and cosine functions through the Hurwitz zeta functions, and using them and another summation formula for trigonometric series, we obtain a finite sum for some series over the Riemann zeta functions. We apply these results to the series over Bessel functions, expressing them first as series over the Riemann zeta functions.

Source: Mathematics

DOI: 10.3390/math12193000

Authors: Slobodan B. Tričković, Miomir S. Stanković

Institutions: University of Nis, Mathematical Institute of the Serbian Academy of Sciences and Arts

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

OpenAlex ID: W4402859283

FWCI:

Cites: 4

Cited by:

Related to: 10