LABORATOIRE DE PHYSIQUE THEORIQUE DE LA MATIERE CONDENSEE

 

 

Conférence

Publications

 

K. A. Penson, K. Górska, A. Horzela, G. Dattoli,

Relativistic Heat Equation via Lévy stable distributions: Exact Solutions

 
Theory of relativistic heat polynomials and one-sided Lévy distributions
G. Dattoli, K. Górska, A. Horzela, K. A. Penson, E. Sabia
J. Math. Phys. 58, 063510 (2017)

 

 

1.
"The Ramanujan Master Theorem and its implications for special functions",

K. Gorska, D. Babusci, G. Dattoli, G. H. E. Duchamp, and K. A. Penson,

Applied Mathematics and Computation 218, 11466 (2012).

2.

"Definite integrals and operational methods",

D. Babusci, G. Dattoli, G. H. E. Duchamp, K. Gorska, and K. A. Penson,

Applied Mathematics and Computation 219, 3017 (2012).

3.

"Operator solutions for fractional Fokker-Planck equations", 

K. Gorska, K. A. Penson, D. Babusci, G. Dattoli,  and G. H. E. Duchamp,

Phys. Rev. E85, 031138 (2012).

4.

"Generalized Bargmann functions, their growth and von Neumann lattices",

A. Vourdas, K. A. Penson, G. H. E. Duchamp, and A. I. Solomon,

J. Phys. A: Math. Theor. 45, 244031 (2012).

5.
"Lévy stable distributions via associated integral transform",

K. Gorska and K. A. Penson,

J. Math. Phys. 53, 053302 (2012).

6.

"Symbolic methods for the evaluation of sum rules of Bessel functions",

D. Babusci, G. Dattoli, K. Gorska and K. A. Penson,

J. Math. Phys. 54, 073501 (2013).

7.
"Exact and explicit evaluation of Brézin-Hikami kernels", (*)

 K. Gorska and K. A. Penson,

 Nucl. Phys. B 872, 333 (2013).

8.

"The spherical Bessel and Struve functions and operational methods",

D. Babusci, G. Dattoli, K. Gorska, and K. A. Penson,

Applied Mathematics and Computation 238, 1 (2014)

9.
"Densities of the Raney distributions". (*)
Wojciech Mlotkowski, Karol A. Penson, and Karol Zyczkowski,

Documenta Mathematica 18, 1593 (2013).

10.

"Multidimensional Catalan and related numbers as Hausdorff moments",

K. Gorska and K. A. Penson,

Probability and Mathematical Statistics, 33, Fasc. 2, 265 (2013).


11.

"The probability measure corresponding to 2-plane trees"

Wojciech Mlotkowski and K. A. Penson,

Probability and Mathematical Statistics, 33, Fasc. 2, 255 (2013).

12.

"The Higher-Order Heat-Type Equations via signed Lévy stable and generalized Airy functions", (*)

K. Gorska, A. Horzela, K. A. Penson, and  G. Dattoli,

J. Phys. A: Math. and Theor. 46, 425001 (2013).

13.

"Probability distributions with binomial moments"

Wojciech Mlotkowski and  Karol A. Penson,

Infinite Dimensional Analysis, Quantum Probability and Related Topics 17, No. 2, 1450014 (2014).

14.

"Photoluminescence decay of silicon nanocrystals and Lévy stable distributions",

G. Dattoli, K.Gorska, A. Horzela, and K. A. Penson,

Phys. Lett. A 378, 2201 (2014).

15.

"On the Laplace transform of the Fréchet distribution"

K. A. Penson and K. Gorska,

J. Math. Phys. 55, 093501 (2014).

16.
"Repeated derivatives of composite functions and generalizations of the Leibniz rule",

D. Babusci, G. Dattoli, K. Gorska, and K. A. Penson,

Applied Mathematics and Computation 241, 193 (2014).

17.

"Spectral density of generalized Wishart matrices and free multiplicative convolution", (*)

Wojciech Mlotkowski, Maciej A. Nowak, Karol A. Penson, and Karol Zyczkowski,

Phys. Rev. E 92, 012121 (2015).

18.

"Relativistic Wave Equations: An Operational Approach",

G. Dattoli, E. Sabia, K. Gorska, A. Horzela, and K. A. Penson,

J. Phys. A: Math. Theor. 48, 125203 (2015).

19.

"On the properties of Laplace transform originating from one-sided Lévy stable laws"

K. A. Penson, and  K. Gorska,

J. Phys. A: Math. Theor. 49, 065201 (2016).

20.
"Operational versus umbral methods and the Borel transform",

G. Dattoli, E. Di Palma, E. Sabia, K. Gorska, A. Horzela, and K. A. Penson,

International Journal of Applied and Computational Mathematics 2017, 1 (2017).

21.

"The stretched exponential behavior and its underlying dynamics. The phenomenological approach"

K. Gorska, A. Horzela, K. A. Penson, G. Dattoli, and G. H. E. Duchamp,
Fractional Calculus and Applied Analysis 20 (1), 260 (2017).

22.

"Lacunary Generating Functions for the Laguerre Polynomials"

D. Babusci, G. Dattoli, K. Gorska, and K. A. Penson,

Séminaire Lotharingien de Combinatoire 76, (2017), Article B76b.

23.

"A Fuss-type family of positive definite sequences",
Wojciech Mlotkowski, and Karol A. Penson,
Colloquium Mathematicum (2017, in press).

24.
"Theory of relativistic heat polynomials and one-sided Lévy distributions",
G. Dattoli, K. Gorska, A. Horzela, K. A. Penson and E. Sabia,
J. Math. Phys. 58,......(2017).

25.
"Relativistic Heat Equations via Lévy stable distributions: Exact Solutions"

K. A. Penson, K. Gorska, A. Horzela, and  G. Dattoli,
Phys. Rev. E (2017, submitted).

26.

"The Havriliak-Negami relaxation and its relatives: the response, relaxation and probability density functions"

K. Gorska, A. Horzela, L. Bratek, K. A. Penson, and G. Dattoli,
Annals of Physics (2017, submitted).