General-Appell polynomials within the context of monomiality principle

DOI10.1155/2013/328032zbMath1268.33009OpenAlexW2088408900WikidataQ58922466 ScholiaQ58922466MaRDI QIDQ355555

Subuhi Khan, Nusrat Raza

Publication date: 25 July 2013

Published in: International Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/328032

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (23)

Finding mixed families of special polynomials associated with Appell sequences ⋮ Construction of a new family of Fubini-type polynomials and its applications ⋮ Hermite-based hybrid polynomials and some related properties ⋮ Bivariate general Appell interpolation problem ⋮ \(\Delta_\omega\)-Laguerre based Appell polynomials and their properties associated with some special polynomials ⋮ Differential and integral equations for the Laguerre-Gould-Hopper-based Appell and related polynomials ⋮ On Bell based Appell polynomials ⋮ Determinantal approach to certain mixed special polynomials related to Gould-Hopper polynomials ⋮ Properties and applications of Sheffer based \(\lambda \)-polynomials ⋮ Generalized Fubini Apostol-type polynomials and probabilistic applications ⋮ Certain properties and applications of the 2D Sheffer and related polynomials ⋮ \(q\)-difference equations for the 2-iterated \(q\)-Appell and mixed type \(q\)-Appell polynomials ⋮ A note on truncated exponential-based Appell polynomials ⋮ Finding symmetry identities for the 2-variable Apostol type polynomials ⋮ Certain results for the 2-variable Apostol type and related polynomials ⋮ Extended forms of certain hybrid special polynomials related to Appell sequences ⋮ Fractional calculus and generalized forms of special polynomials associated with Appell sequences ⋮ Finding hybrid relatives of the Bessel polynomials ⋮ A general class of the three-variable unified Apostol-type \(q\)-polynomials and multiple power \(q\)-sums ⋮ Generalized 2D extension of the \(q\)-Bessel polynomials ⋮ Certain results of hybrid families of special polynomials associated with appell sequences ⋮ Certain results on a hybrid class of the Boas-Buck polynomials ⋮ The multi-variable unified family of generalized Apostol-type polynomials

Cites Work

• Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
• Operational formulas connected with two generalizations of Hermite polynomials
• Laguerre-type exponentials and generalized Appell polynomials
• The relation of the \(d\)-orthogonal polynomials to the Appell polynomials
• Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
• Hermite-based Appell polynomials: Properties and applications
• Sheffer polynomials, monomiality principle, algebraic methods and the theory of classical polynomials
• The poweroid, an extension of the mathematical notion of power
• On the Lerch zeta function
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