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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…
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