55 citations · 206 across the 32 of their papers we have counts for
5 papers · 1 filter
Three types of polynomials related to q-oscillator algebra
Won Sang Chung, Mahouton Norbert Hounkonnou, Sama Arjika
This work addresses a full characterization of three new q-polynomials derived from the oscillator algebra. Related matrix elements and generating functions are deduced. Furthe…
On the q-analogue of Laplace transform
Won Sang Chung, Taekyun Kim
In this paper, we consider a q-analogue of Laplace transform and we investigate some properties of q-Laplace transform. From our investigation, we derive some interesting formulae…
On the fractional damped oscillators and fractional forced oscillators
Won Sang Chung, Min Jung
In this paper, we use the fractional calculus to discuss the fractional mechanics, where the time derivative is replaced with the fractional derivative of order . We deal with t…
New exponential, logarithm and q-probability in the non-extensive statistical physics
Won Sang Chung
In this paper, a new exponential and logarithm related to the non-extensive statistical physics is proposed by using the q-sum and q-product which satisfy the distributivity. And w…
On the -Laplace transform in the non-extensive statistical physics
Won Sang Chung
In this paper, q-Laplace transforms related to the non-extensive thermodynamics are investigated by using the algebraic operation of the non-extensive calculus. The deformed simple…