5 citations · 9 across the 6 of their papers we have counts for
6 papers
More on Algebraic Structure of the Complete Partition Function for the - Potts Model, Part 1
A. K. Kwasniewski, W. Bajguz
In this first part of a larger review undertaking the results of the first author and a part of the second author doctor dissertation are presented. Next we plan to give a survey o…
Cauchy_Riemann Equations for Cayley Numbers` Functions
A. K. Kwasniewski
Since the discovery of octonions in 1843 we seem to be still lacking a satisfactory if any theory of octave valued functions satisfactory according to standard requirements or expe…
Cauchy type identities and corresponding fermatian matrices via non-comuting variables of extended finite operator calculus
A. KL. Kwasniewski
New family of extended Cauchy type identities is found and related Fermat type matrices are provided ready for applications in extended scope. This is achieved due to the use speci…
On duality triads
A. K. Kwasniewski
We introduce a duality triads` notion. These are dual recurrences as used in dynamical data bases theory completed by a third pertinacious relation. Several representative examples…
Bernoulli-Taylor formula for psi-umbral difference calculus
A. K. Kwasniewski
An expansion formula of a new type with the rest term of Cauchy type is derived in the operator formulation of generalized umbral calculus
On Simple Characterisations of Sheffer psi- polynomials and Related Propositions of the Calculus of Sequences
A. K. Kwasniewski
A calculus of sequences started in 1936 opened the way for future extensions of umbral calculus in its finite operator form. Because of historically established notation we call it…