3 citations · 3 across the 3 of their papers we have counts for
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Extended finite operator calculus as an example of algebraization of analysis
A. K. Kwasniewski, E. Borak
A wardian calculus of sequences started almost seventy years ago constitutes the general scheme for extensions of the classical umbral operator calculus considered by many afterwar…
The logarithmic fibbinomial formula
A. K. Kwasniewski
Roman logarithmic binomial formula analogue has been found . It is presented here also for the case of fibonomial coefficients which recently have been given a combinatorial interp…
Fibonomial cumulative connection constants
A. K. Kwasniewski
In this note we present examples of cumulative connection constants included new fibonomial ones. All examples posses combinatorial interpretation.
Fibonacci q-gaussian sequences
A. K. Kwasniewski
The summation formula within pascalian triangle resulting in the fibonacci sequence is extended to the -binomial coefficients -gaussian triangles.
On -basic bernoulli-wardian polynomials
A. K. Kwasniewski
The wardian solution of any -difference linear nonhomogeneous equation is found in the framework of the generalized finite operator calculus . Specifications to -calculus cas…
-Appell polynomials` solutions of an umbral difference nonhomogeneous equation
A. K. Kwasniewski
One discovers why the solution of generalized umbral calculus difference nonhomogeneous equation in the form recently proposed by the author extends here now to generalized appelli…