A class of big (p,q)-Appell polynomials and their associated difference equations
DOI10.2298/FIL1910085SzbMath1499.11128MaRDI QIDQ5863673
Banu Yilmaz Yaşar, Mehmet Ali Özarslan, Hari M. Srivastava
Publication date: 3 June 2022
Published in: Filomat (Search for Journal in Brave)
difference equationsrecurrence relationsCauchy productbig \((p, q)\)-Bernoulli polynomialsbig \((p, q)\)-Euler polynomialsbig \(q\)-Bernoulli polynomialsbig \(q\)-Euler polynomialspost quantum or \((p, q)\)-calculusquantum or \(q\)-calculus
Bernoulli and Euler numbers and polynomials (11B68) Difference equations, scaling ((q)-differences) (39A13) Classical hypergeometric functions, ({}_2F_1) (33C05)
Related Items (1)
Cites Work
- Difference equations of \(q\)-Appell polynomials
- A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials
- \(q\)-extensions of some relationships between the Bernoulli and Euler polynomials
- Unified Apostol-Bernoulli, Euler and Genocchi polynomials
- Derivation of identities involving some special polynomials and numbers via generating functions with applications
- Some results for the \(q\)-Bernoulli and \(q\)-Euler polynomials
- Some characterizations of Appell and q-Appell polynomials
- Differential equation of Appell polynomials via the factorization method
- A class of Frobenius-type Eulerian polynomials
- Summation formulas for the products of the Frobenius-Euler polynomials
- On a class of generalized \(q\)-Bernoulli and \(q\)-Euler polynomials
- Differential equations for the extended 2D Bernoulli and Euler polynomials
- On the fundamental theorem of \((p,q)\)-calculus and some \((p,q)\)-Taylor formulas
- Multidimensional extensions of the Bernoulli and Appell polynomials
- A set of finite order differential equations for the Appell polynomials
- \(q\)-extensions for the Apostol type polynomials
- q-Appell polynomials
- Some families of differential equations associated with the Hermite-based Appell polynomials and other classes of Hermite-based polynomials
- q‐Bernoulli numbers and polynomials
- Unified (p,q)-analog of Aspostol type polynomials of order α
- Some results on the q-analogues of the incomplete Fibonacci and Lucas Polynomials
- The Factorization Method
- Quantum calculus
This page was built for publication: A class of big (p,q)-Appell polynomials and their associated difference equations