Publications (42)
Combinatorial coherent states via normal ordering of bosons
P. Blasiak, K. A. Penson, A. I. Solomon
Multidimensional Catalan and related numbers as Hausdorff moments
K. Gorska, K. A. Penson
Hopf Algebras in General and in Combinatorial Physics: a practical introduction
G. H. E. Duchamp, P. Blasiak, A. Horzela +2
Levy stable two-sided distributions: exact and explicit densities for asymmetric case
K. Gorska, K. A. Penson
Definite integrals and operational methods
D. Babusci, G. Dattoli, G. H. E. Duchamp +2
Approximate substitutions and the normal ordering problem
H. Cheballah, G. H. E. Duchamp, K. A. Penson
Combinatorial Physics, Normal Order and Model Feynman Graphs
A. I. Solomon, P. Blasiak, G. Duchamp +2
Hierarchical Dobinski-type relations via substitution and the moment problem
K. A. Penson, P. Blasiak, G. Duchamp +2
The Boson Normal Ordering Problem and Generalized Bell Numbers
P. Blasiak, K. A. Penson, A. I. Solomon
Generation of coherent states of photon-added type via pathway of eigenfunctions
K. Gorska, K. A. Penson, G. H. E. Duchamp
Operator solutions for fractional Fokker-Planck equations
K. Gorska, K. A. Penson, D. Babusci +2
The spherical Bessel and Struve functions and operational methods
D. Babusci, G. Dattoli, K. Gorska +1
Combinatorial Algebra for second-quantized Quantum Theory
P. Blasiak, G. H. E. Duchamp, A. I. Solomon +2
A product formula and combinatorial field theory
A. Horzela, P. Blasiak, G. H. E. Duchamp +2
The Ramanujan master theorem and its implications for special functions
K. Gorska, D. Babusci, G. Dattoli +2
Repeated derivatives of composite functions and generalizations of the Leibniz rule
D. Babusci, G. Dattoli, K. Górska +1
Photoluminescence decay of silicon nanocrystals and Lévy stable distributions
G. Dattoli, K. Gorska, A. Horzela +1
On certain non-unique solutions of the Stieltjes moment problem
K. A. Penson, P. Blasiak, G. H. E. Duchamp +2
Combinatorial Solutions to Normal Ordering of Bosons
P. Blasiak, A. Gawron, A. Horzela +2
Graph model of the Heisenberg-Weyl algebra
P. Blasiak, A. Horzela, G. H. E. Duchamp +2
Deformed Bosons: Combinatorics of Normal Ordering
P. Blasiak, A. Horzela, K. A. Penson +1
Geometrical and physical properties of maths-type q-deformed coherent states for $0<q<1$ or $q > 1$
C. Quesne, K. A. Penson, V. M. Tkachuk
Exact and explicit evaluation of Brezin-Hikami kernels
K. Gorska, K. A. Penson
Combinatorics and Boson normal ordering: A gentle introduction
P. Blasiak, A. Horzela, K. A. Penson +2
Exponential Operators, Dobinski Relations and Summability
P. Blasiak, A. Gawron, A. Horzela +2
Dobinski-type relations and the Log-normal distribution
P. Blasiak, K. A. Penson, A. I. Solomon
Motzkin numbers, central trinomial coefficients and hybrid polynomials
P. Blasiak, G. Dattoli, A. Horzela +2
Quasiclassical Asymptotics and Coherent States for Bounded Discrete Spectra
K. Gorska, K. A. Penson, A. Horzela +3
Extended Bell and Stirling numbers from hypergeometric exponentiation
J. -M. Sixdeniers, K. A. Penson, A. I. Solomon
Levy stable distributions via associated integral transform
K. Gorska, K. A. Penson
Laguerre-type derivatives: Dobinski relations and combinatorial identities
K. A. Penson, P. Blasiak, A. Horzela +2
Combinatorial Deformations of Algebras: Twisting and Perturbations
Gérard Henry Edmond Duchamp, Christophe Tollu, K. A. Penson +1
Hopf algebras: motivations and examples
G. H. E. Duchamp, P. Blasiak, A. Horzela +2
Statistics on Graphs, Exponential Formula and Combinatorial Physics
L. Poinsot, G. H. E. Duchamp, S. Goodenough +1
Heisenberg-Weyl algebra revisited: Combinatorics of words and paths
P. Blasiak, A. Horzela, G. H. E. Duchamp +2
Generating Functions for Laguerre Polynomials: New Identities for Lacunary Series
D. Babusci, G. Dattoli, K. Gorska +1
Generalized Bargmann functions, their growth and von Neumann lattices
A. Vourdas, K. A. Penson, G. H. E. Duchamp +1
The Higher-Order Heat-Type Equations via signed Lévy stable and generalized Airy functions
K. Gorska, A. Horzela, K. A. Penson +1
Symbolic methods for the evaluation of sum rules of Bessel functions
D. Babusci, G. Dattoli, K. Gorska +1
Maths-type q-deformed coherent states for q > 1
C. Quesne, K. A. Penson, V. M. Tkachuk
Hopf Algebra Structure of a Model Quantum Field Theory
A. I. Solomon, G. E. H. Duchamp, P. Blasiak +2
Exact and explicit probability densities for one-sided Levy stable distributions
K. A. Penson, K. Gorska