DOI10.1016/j.amc.2010.12.048zbMath1218.11026OpenAlexW2034149193MaRDI QIDQ628940
Qiu-Ming Luo, Hari M. Srivastava
Publication date: 8 March 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.048
A new class of generalized Fubini polynomials and their computational algorithms,
On the generalized Apostol-type Frobenius-Euler polynomials,
Modification and unification of the Apostol-type numbers and polynomials and their applications,
Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions,
A new generalization of Apostol-type Laguerre-Genocchi polynomials,
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,
A new unified family of generalized Apostol-Euler, Bernoulli and Genocchi polynomials,
New families of special numbers and polynomials arising from applications of \( p\)-adic \( q\)-integrals,
Addition theorems for the Appell polynomials and the associated classes of polynomial expansions,
Two closed forms for the Apostol-Bernoulli polynomials,
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Bifurcation and chaos in real dynamics of a two-parameter family arising from generating function of generalized Apostol-type polynomials,
Families of Twisted Bernoulli Numbers, Twisted Bernoulli Polynomials, and Their Applications,
Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials,
2-Variable Fubini-degenerate Apostol-type polynomials,
Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials,
Poly-Bernoulli numbers and polynomials with a \(q\) parameter,
Combinatorial identities and sums for special numbers and polynomials,
On another approach for a family of Appell polynomials,
Generating functions for special polynomials and numbers including Apostol-type and Humbert-type polynomials,
Incomplete poly-Bernoulli numbers and incomplete poly-Cauchy numbers associated to the \(q\)-Hurwitz-Lerch zeta function,
On a family of special numbers and polynomials associated with Apostol-type numbers and polynomials and combinatorial numbers,
Some generalized Lagrange-based Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi poly\-nomials,
Analysis approach to finite monoids,
Computational identities for extensions of some families of special numbers and polynomials,
Confluent Appell polynomials,
Modification exponential Euler type splines derived from Apostol-Euler numbers and polynomials of complex order,
An extension of generalized Apostol-Euler polynomials,
Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials,
The \((p,q)\)-sine and \((p,q)\)-cosine polynomials and their associated \((p,q)\)-polynomials,
A generalization of the array type polynomials,
Integral modification of beta-Apostol-Genocchi operators,
Recurrence relations, associated formulas, and combinatorial sums for some parametrically generalized polynomials arising from an analysis of the Laplace transform and generating functions,
Some series identities involving the generalized Apostol type and related polynomials,
Multiplication formulas for Apostol-type polynomials and multiple alternating sums,
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Some properties of the generalized Apostol-type polynomials,
Unification of the Bernstein-type polynomials and their applications,
A new approach to connect algebra with analysis: relationships and applications between presentations and generating functions,
A new class of generalized Apostol-Bernoulli polynomials and some analogues of the Srivastava-Pintér addition theorem,
Computation methods for combinatorial sums and Euler-type numbers related to new families of numbers,
Generalized Hermite- based Apostol- Bernoulli, Euler, Genocchi polynomials and their relations,
Unified Apostol-Bernoulli, Euler and Genocchi polynomials,
Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and p-adic q-integrals,
On interpolation functions for the number of \(k\)-ary Lyndon words associated with the Apostol-Euler numbers and their applications,
About extensions of generalized Apostol-type polynomials,
Construction and computation of unified Stirling-type numbers emerging from \(p\)-adic integrals and symmetric polynomials,
A new class of Laguerre-based generalized Apostol polynomials,
Analysis of Apostol-Type Numbers and Polynomials with Their Approximations and Asymptotic Behavior,
A new formula of products of the Apostol-Bernoulli and Apostol-Euler polynomials,
Nonlinear differential equations arising from Boole numbers and their applications,
Some results for Apostol-type polynomials associated with umbral algebra,
Multi-poly-Bernoulli numbers and polynomials with a \(q\) parameter,
Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications,
Finding symmetry identities for the 2-variable Apostol type polynomials,
A set of finite order differential equations for the Appell polynomials,
Some new generalizations and applications of the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials,
Certain results for the 2-variable Apostol type and related polynomials,
On degenerate Apostol-type polynomials and applications,
Some new classes of generalized Apostol-Euler and Apostol-Genocchi polynomials,
Certain new presentation of the generalized polynomials and numbers,
Identities on some special polynomials derived from the concepts of \(n\)-normed structures, accretive operators and contraction mappings,
A probabilistic generalization of the Stirling numbers of the second kind,
Convolution identities on the Apostol-Hermite base of two variables polynomials,
Some unified formulas and representations for the Apostol-type polynomials,
A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra,
Some New Classes of Generalized Hermite-Based Apostol-Euler and Apostol-Genocchi Polynomials,
A new class of Laguerre-based Apostol type polynomials,
Analysis of the p-adic q-Volkenborn integrals: An approach to generalized Apostol-type special numbers and polynomials and their applications,
Some remarks on the generalized Apostol-Bernoulli and Apostol-Euler polynomials,
Approximation by a new sequence of operators involving Apostol-Genocchi polynomials,
A general class of the three-variable unified Apostol-type \(q\)-polynomials and multiple power \(q\)-sums,
Existence and reduction of generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials,
Special numbers and polynomials including their generating functions in umbral analysis methods,
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,
Certain generating funtion of generalized Apostol type Legendre-based polynomials,
A family of complex Appell polynomial sets,
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,
Some new identities and inequalities for Bernoulli polynomials and numbers of higher order related to the Stirling and Catalan numbers,
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On generating functions for the special polynomials,
\(q\)-extensions for the Apostol type polynomials,
Higher-order convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials,
A note on the truncated-exponential based Apostol-type polynomials,
Unified (p,q)-analog of Aspostol type polynomials of order α,
A unified presentation of certain meromorphic functions related to the families of the partial zeta type functions and the \(L\)-functions,
Some identities and formulas derived from analysis of distribution functions including Bernoulli polynomials and Stirling numbers,
Identities and relations for special numbers and polynomials: An approach to trigonometric functions,
A note on characteristic function for Bernstein polynomials involving special numbers and polynomials,
Durrmeyer variant of Apostol-Genocchi-Baskakov operators,
Partial-fraction decomposition of a rational function and its application,
Some families of Genocchi type polynomials and their interpolation functions,
Probabilistic Stirling numbers of the second kind and applications,
Formulas derived from moment generating functions and Bernstein polynomials,
Certain Laguerre-based Generalized Apostol Type Polynomials