4 papers
Series over Bessel functions as series in terms of Riemann's zeta function
Slobodan B. Tričković, Miomir S. Stanković
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…
On closed forms of some trigonometric series
Slobodan B. Tričković, Miomir S. Stanković
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…
On the Laplace-type transform and its applications
Slobodan B. Tričković, Miomir S. Stanković
We use the Laplace transform and the Gamma function to introduce a new integral transform and name it the Laplace-type transform possessing the property of mapping a function to a…
Finite and infinite order differential properties of the reduced Mittag--Leffler polynomials
Predrag M. Rajković, Sladjana D. Marinković, Miomir S. Stanković +1
This paper deals with the Mittag-Leffler polynomials (MLP) by extracting their essence which consists of real polynomials with fine properties. They are orthogonal on the real line…