Modification and unification of the Apostol-type numbers and polynomials and their applications

DOI10.1016/j.amc.2014.03.004zbMath1334.11015OpenAlexW1992400308MaRDI QIDQ272444

Hacer Ozden, Yilmaz Simsek

Publication date: 20 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.03.004

zbMATH Keywords

Stirling numbersCatalan numbersBernoulli numbers and polynomialsEuler numbers and polynomialsGenocchi Bernoulli numbers and polynomials

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

On Generalized Lagrange-Based Apostol-type and Related Polynomials ⋮ Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions ⋮ Some array type polynomials associated with special numbers and polynomials ⋮ Applications on the Apostol-Daehee numbers and polynomials associated with special numbers, polynomials, and \(p\)-adic integrals ⋮ New families of special numbers and polynomials arising from applications of \( p\)-adic \( q\)-integrals ⋮ Unnamed Item ⋮ SOME PROPERTIES OF DEGENERATED EULER POLYNOMIALS OF THE SECOND KIND USING DEGENERATED ALTERNATIVE POWER SUM ⋮ Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials ⋮ Confluent Appell polynomials ⋮ Integral modification of beta-Apostol-Genocchi operators ⋮ Unnamed Item ⋮ Computation methods for combinatorial sums and Euler-type numbers related to new families of numbers ⋮ Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and p-adic q-integrals ⋮ Analysis of Apostol-Type Numbers and Polynomials with Their Approximations and Asymptotic Behavior ⋮ Approximation by a new sequence of operators involving Apostol-Genocchi polynomials ⋮ Formulas for Poisson-Charlier, Hermite, Milne-Thomson and other type polynomials by their generating functions and \(p\)-adic integral approach ⋮ Applications of Apostol-type numbers and polynomials: approach to techniques of computation algorithms in approximation and interpolation functions ⋮ Some certain classes of combinatorial numbers and polynomials attached to Dirichlet characters: their construction by \(p\)-adic integration and applications to probability distribution functions ⋮ Higher-order convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials ⋮ Durrmeyer variant of Apostol-Genocchi-Baskakov operators

Cites Work

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