Applications of Apostol-type numbers and polynomials: approach to techniques of computation algorithms in approximation and interpolation functions

DOI10.1007/978-3-030-84122-5_40zbMath1496.11036OpenAlexW4285378652MaRDI QIDQ2080506

Publication date: 7 October 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-84122-5_40

Bernoulli and Euler numbers and polynomials (11B68)

Cites Work

Modification and unification of the Apostol-type numbers and polynomials and their applications
Some array type polynomials associated with special numbers and polynomials
Values of twisted Barnes zeta functions at negative integers
Some new identities of Frobenius-Euler numbers and polynomials
Unified representation of the family of \(L\)-functions
\(q\)-Hardy-Berndt type sums associated with \(q\)-Genocchi type zeta and \(q\)-\(l\)-functions
Special functions related to Dedekind-type DC-sums and their applications
Identities involving Frobenius-Euler polynomials arising from non-linear differential equations
Unified presentation of \(p\)-adic \(L\)-functions associated with unification of the special numbers
Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials
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The multiple Hurwitz zeta function and the multiple Hurwitz-Euler eta function
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\(q\)-Bernoulli numbers and polynomials associated with multiple \(q\)-zeta functions and basic \(L\)-series
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The origins of combinatorics on words
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\(q\)-Genocchi numbers and polynomials associated with \(q\)-Genocchi-type \(l\)-functions
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\(q\)-Genocchi numbers and polynomials associated with fermionic \(p\)-adic invariant integrals on \(\mathbb Z_{p}\)
Twisted \(p\)-adic \((h,q)\)-\(L\)-functions
A family of \(p\)-adic twisted interpolation functions associated with the modified Bernoulli numbers
Interpolation function of the \((h,q)\)-extension of twisted Euler numbers
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\(k\)-ary Lyndon words and necklaces arising as rational arguments of Hurwitz-Lerch zeta function and Apostol-Bernoulli polynomials
Numerical evaluation of special power series including the numbers of Lyndon words: an approach to interpolation functions for Apostol-type numbers and polynomials
On interpolation functions for the number of \(k\)-ary Lyndon words associated with the Apostol-Euler numbers and their applications
\(q\)-analogue of twisted \(l\)-series and \(q\)-twisted Euler numbers
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Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions
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\(q\)-Dedekind type sums related to \(q\)-zeta function and basic \(L\)-series
The number of weak orderings of a finite set
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Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
On the Lerch zeta function
q-Bernstein polynomials related to q-Frobenius-Euler polynomials, l-functions, and q-Stirling numbers
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Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials
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Complete sum of products of (h,q)-extension of Euler polynomials and numbers
Fourier expansions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
Some families of Genocchi type polynomials and their interpolation functions
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Dedekind and Hardy Type Sums and Trigonometric Sums Induced by Quadrature Formulas
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ON THE ALTERNATING SUMS OF POWERS OF CONSECUTIVE q-INTEGERS
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Falling Factorials, Generating Functions, and Conjoint Ranking Tables
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Multiple Interpolation Functions of Higher Order (h,q)‐Bernoulli Numbers
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Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and p-adic q-integrals
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Rational approximations to the zeta function
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Higher-order Bernoulli, Frobenius-Euler and Euler polynomials
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A new class of analytic functions defined by means of a convolution operator involving the Hurwitz–Lerch Zeta function
A generalization of the Hurwitz - Lerch Zeta function
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Remarks on Interpolation Function of Higher Order (h, q)-Bernoulli Numbers
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