3 papers
math.NT2024
Series over Bessel functions as series in terms of Riemann's zeta function
Slobodan B. TriÄkoviÄ, Miomir S. StankoviÄ
Relying on the Hurwitz formula, we find sums of the series over sine and cosine functions through the Hurwitz zeta function. Using another summation formula for these trigonometric…
math.CA2024
On closed forms of some trigonometric series
Slobodan B. TriÄkoviÄ, Miomir S. StankoviÄ
We have derived alternative closed-form formulas for the trigonometric series over sine or cosine functions when the immediate replacement of the parameter appearing in the denomin…
math.GM2024
Opial's inequality in -Calculus revisited
Tatjana Z. Mirkovic, Slobodan B. Trickovic, Miomir S. Stankovic
We have fundamentally corrected the proofs of the theorems from our paper [9] by giving an entirely different approach, using quite a simple method based on applications of some el…