Difference equations of q-Appell polynomials
Copyright policy )Difference equations of q-Appell polynomials
In this paper, we study some properties of the q-Appell polynomials, including the recurrence relations and the q-difference equations which extend some known calssical (q=1) results. We also provide the recurrence relations and the q-difference equations for q-Bernoulli polynomials, q-Euler polynomials, q-Genocchi polynomials and for newly defined q-Hermite polynomials, as special cases of q-Appell polynomials
\(q\)-Euler polynomials, 33C45, 33C55, Difference equations, scaling (\(q\)-differences), \(q\)-Hermite polynomials, lowering operators, \(q\)-Appell polynomials, Mathematics - Classical Analysis and ODEs, \(q\)-Genocchi polynomials, Classical Analysis and ODEs (math.CA), FOS: Mathematics, \(q\)-Bernoulli polynomials
\(q\)-Euler polynomials, 33C45, 33C55, Difference equations, scaling (\(q\)-differences), \(q\)-Hermite polynomials, lowering operators, \(q\)-Appell polynomials, Mathematics - Classical Analysis and ODEs, \(q\)-Genocchi polynomials, Classical Analysis and ODEs (math.CA), FOS: Mathematics, \(q\)-Bernoulli polynomials
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