DOI10.1080/10236190902813967zbMath1223.11027arXiv0707.2849OpenAlexW1983951523MaRDI QIDQ3060071
Yilmaz Simsek
Publication date: 1 December 2010
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0707.2849
Some symmetry identities for the Apostol-type polynomials related to multiple alternating sums ⋮
Modification and unification of the Apostol-type numbers and polynomials and their applications ⋮
Some identities of symmetry for the generalized \(q\)-Euler polynomials ⋮
Identities associated with Milne-Thomson type polynomials and special numbers ⋮
Some array type polynomials associated with special numbers and polynomials ⋮
Some new formulas for the products of the Apostol type polynomials ⋮
Applications on the Apostol-Daehee numbers and polynomials associated with special numbers, polynomials, and \(p\)-adic integrals ⋮
On congruences of Euler numbers modulo powers of two ⋮
Some identities for the product of two Bernoulli and Euler polynomials ⋮
Generalized Boole numbers and polynomials ⋮
A new class of generalized polynomials associated with Hermite and Euler polynomials ⋮
Differential equations associated with generalized Bell polynomials and their zeros ⋮
An identity in commutative rings with unity with applications to various sums of powers ⋮
Some identities on the high-order \(q\)-Euler numbers and polynomials with weight 0 ⋮
Some identities on Bernoulli and Euler polynomials arising from orthogonality of Legendre polynomials ⋮
Some results on sums of products of Bernoulli polynomials and Euler polynomials ⋮
Modification exponential Euler type splines derived from Apostol-Euler numbers and polynomials of complex order ⋮
Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials ⋮
Derivation of computational formulas for certain class of finite sums: Approach to generating functions arising from p$$ p $$‐adic integrals and special functions ⋮
A new approach to \(q\)-Genocchi numbers and their interpolation functions ⋮
Some symmetric identities on higher order \(q\)-Euler polynomials and multivariate fermionic \(p\)-adic \( q\)-integral on \(\mathbb Z_p\) ⋮
Some properties on the \(q\)-Euler numbers and polynomials ⋮
Some formulae for the product of two Bernoulli and Euler polynomials ⋮
Quadratic symmetry of modified \(q\)-Euler polynomials ⋮
A note on Eulerian polynomials ⋮
Unnamed Item ⋮
Identities involving Frobenius-Euler polynomials arising from non-linear differential equations ⋮
Euler basis, identities, and their applications ⋮
Symmetry fermionic \(p\)-adic \(q\)-integral on \(\mathbb Z_p\) for Eulerian polynomials ⋮
Bernoulli basis and the product of several Bernoulli polynomials ⋮
A numerical investigation on the structure of the zeros of Euler polynomials ⋮
Identities of symmetry for higher-order generalized \(q\)-Euler polynomials ⋮
Dynamics of the zeros of analytic continued \((h, q)\)-Euler polynomials ⋮
Unified Apostol-Bernoulli, Euler and Genocchi polynomials ⋮
Multivariate interpolation functions of higher-order \(q\)-Euler numbers and their applications ⋮
Unnamed Item ⋮
Differential equations arising from polynomials of derangements and structure of their zeros ⋮
Explicit formulas for Meixner polynomials ⋮
Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications ⋮
A note on Boole polynomials ⋮
A note on polynomial expressions for sums of power of integers multiplied by exponential terms ⋮
SOME IDENTITIES INVOLVING THE GENERALIZED POLYNOMIALS OF DERANGEMENTS ARISING FROM DIFFERENTIAL EQUATION ⋮
Unnamed Item ⋮
Identities of symmetry for degenerate Euler polynomials and alternating generalized falling factorial sums ⋮
A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra ⋮
Formulas for Poisson-Charlier, Hermite, Milne-Thomson and other type polynomials by their generating functions and \(p\)-adic integral approach ⋮
Generating functions for finite sums involving higher powers of binomial coefficients: analysis of hypergeometric functions including new families of polynomials and numbers ⋮
On the degenerate \((h , g)\)-Changhee numbers and polynomials ⋮
A note on type \(2 q\)-Bernoulli and type \(2 q\)-Euler polynomials ⋮
On multiple interpolation functions of the Nörlund-type \(q\)-Euler polynomials ⋮
Some identities of type \(2 q\)-Bernoulli polynomials ⋮
Identities of symmetry for Bernoulli polynomials and power sums ⋮
Some identities of symmetry for the generalized Bernoulli numbers and polynomials ⋮
On the identities of symmetry for the generalized Bernoulli polynomials attached to \(\chi \) of higher order ⋮
Unnamed Item ⋮
Applications of Apostol-type numbers and polynomials: approach to techniques of computation algorithms in approximation and interpolation functions ⋮
Symmetric identities of Hermite-Bernoulli polynomials and Hermite-Bernoulli numbers attached to a Dirichlet character \(\chi\) ⋮
A unified presentation of certain meromorphic functions related to the families of the partial zeta type functions and the \(L\)-functions
This page was built for publication: Complete sum of products of (h,q)-extension of Euler polynomials and numbers