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)

zbMATH Keywords

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

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Difference equations, scaling ((q)-differences) (39A13) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (1)

On certain Appell polynomials and their generalizations based on the Tsallis \(q\)-exponential

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