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Remarks on a class of combinatorial numbers and polynomials

AIP Conference Proceedings, 2023, Vol.2849 (1)

2023

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Construction and computation of unified Stirling-type numbers emerging from p-adic integrals and symmetric polynomials

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2021-10, Vol.115 (4), Article 167

2021

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Identities and relations on the $q$-Apostol type Frobenius-Euler numbers and polynomials

대한수학회지, 2019, 56(1), , pp.265-284

2019

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Analysis of Generating Functions for Special Words and Numbers and Algorithms for Computation

Mediterranean journal of mathematics, 2022-12, Vol.19 (6), Article 268

2022

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Derivation of some formulas for stirling-type numbers by p-adic integration

AIP Conference Proceedings, 2024, Vol.3094 (1)

2024

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Computational and implementational analysis of generating functions for higher order combinatorial numbers and polynomials attached to Dirichlet characters

Mathematical methods in the applied sciences, 2022-06, Vol.45 (9), p.5043-5066

Kucukoglu, Irem

2022

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Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function

Axioms, 2019, Vol.8 (4), p.112

2019

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Analysis of higher-order Peters-type combinatorial numbers and polynomials by their generating functions and p-adic integration

AIP Conference Proceedings, 2020, Vol.2293 (1)

2020

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Derivative formulas related to unification of generating functions for Sheffer type sequences

AIP Conference Proceedings, 2019, Vol.2116 (1)

2019

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Some new identities and formulas for higher-order combinatorial-type numbers and polynomials

Filomat, 2020, Vol.34 (2), p.551-558

Kucukoglu, Irem

2020

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ON A FAMILY OF SPECIAL NUMBERS AND POLYNOMIALS ASSOCIATED WITH APOSTOL-TYPE NUMBERS AND POYNOMIALS AND COMBINATORIAL NUMBERS

Applicable analysis and discrete mathematics, 2019-10, Vol.13 (2), p.478-494

2019

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Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials

Journal of number theory, 2017-12, Vol.181, p.117-146

2017

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MATRIX REPRESENTATIONS FOR A CERTAIN CLASS OF COMBINATORIAL NUMBERS ASSOCIATED WITH BERNSTEIN BASIS FUNCTIONS AND CYCLIC DERANGEMENTS AND THEIR PROBABILISTIC AND ASYMPTOTIC ANALYSES

Applicable analysis and discrete mathematics, 2021-04, Vol.15 (1), p.45-68

2021

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Multidimensional Bernstein polynomials and Bezier curves: Analysis of machine learning algorithm for facial expression recognition based on curvature

Applied mathematics and computation, 2019-03, Vol.344-345, p.150-162

2019

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Relations arising from a family of combinatorial numbers and Bernstein type basis functions

AIP Conference Proceedings, 2018, Vol.1978 (1)

2018

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An approach to negative hypergeometric distribution by generating function for special numbers and polynomials

Turkish journal of mathematics, 2019-01, Vol.43 (5), p.2337-2353

2019

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IDENTITIES FOR DIRICHLET AND LAMBERT-TYPE SERIES ARISING FROM THE NUMBERS OF A CERTAIN SPECIAL WORD

Applicable analysis and discrete mathematics, 2019-12, Vol.13 (3), p.787-804

2019

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On k-ary Lyndon words and their generating functions

AIP Conference Proceedings, 2017, Vol.1863 (1)

2017

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Numerical evaluation of special power series including the numbers of Lyndon words: an approach to interpolation functions for Apostol-type numbers and polynomials

Electronic transactions on numerical analysis, 2018-03, Vol.50, p.98-108

2018

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Formulas and Combinatorial Identities for Catalan-Type Numbers And Polynomials: Their Analysis with Computational Algorithms

Applied and Computational Mathematics, 2022-01, p.158-177

2022

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IDENTITIES AND RELATIONS ON THE q-APOSTOL TYPE FROBENIUS-EULER NUMBERS AND POLYNOMIALS

Journal of the Korean Mathematical Society, 2019, Vol.56 (1), p.265-284

2019

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On interpolation functions for the number of k-ary Lyndon words associated with the Apostol–Euler numbers and their applications

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2019-01, Vol.113 (1), p.281-297

2019

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On a family of special numbers and polynomials associated with Apostol-type numbers and polynomials and combinatorial numbers

Applicable analysis and discrete mathematics, 2019, Vol.13 (2), p.478-494

2019

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Identities and derivative formulas for the combinatorial and Apostol-Euler type numbers by their generating functions

Filomat, 2018, Vol.32 (20), p.6879-6891

2018

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A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials

Quaestiones mathematicae, 2019-04, Vol.42 (4), p.465-478

2019

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Remarks on a class of combinatorial numbers and polynomials

Construction and computation of unified Stirling-type numbers emerging from p-adic integrals and symmetric polynomials

Identities and relations on the $q$-Apostol type Frobenius-Euler numbers and polynomials

Analysis of Generating Functions for Special Words and Numbers and Algorithms for Computation

Derivation of some formulas for stirling-type numbers by p-adic integration

Computational and implementational analysis of generating functions for higher order combinatorial numbers and polynomials attached to Dirichlet characters

Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function

Analysis of higher-order Peters-type combinatorial numbers and polynomials by their generating functions and p-adic integration

Derivative formulas related to unification of generating functions for Sheffer type sequences

Some new identities and formulas for higher-order combinatorial-type numbers and polynomials

ON A FAMILY OF SPECIAL NUMBERS AND POLYNOMIALS ASSOCIATED WITH APOSTOL-TYPE NUMBERS AND POYNOMIALS AND COMBINATORIAL NUMBERS

Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials

MATRIX REPRESENTATIONS FOR A CERTAIN CLASS OF COMBINATORIAL NUMBERS ASSOCIATED WITH BERNSTEIN BASIS FUNCTIONS AND CYCLIC DERANGEMENTS AND THEIR PROBABILISTIC AND ASYMPTOTIC ANALYSES

Multidimensional Bernstein polynomials and Bezier curves: Analysis of machine learning algorithm for facial expression recognition based on curvature

Relations arising from a family of combinatorial numbers and Bernstein type basis functions

An approach to negative hypergeometric distribution by generating function for special numbers and polynomials

IDENTITIES FOR DIRICHLET AND LAMBERT-TYPE SERIES ARISING FROM THE NUMBERS OF A CERTAIN SPECIAL WORD

On k-ary Lyndon words and their generating functions

Numerical evaluation of special power series including the numbers of Lyndon words: an approach to interpolation functions for Apostol-type numbers and polynomials

Formulas and Combinatorial Identities for Catalan-Type Numbers And Polynomials: Their Analysis with Computational Algorithms

IDENTITIES AND RELATIONS ON THE q-APOSTOL TYPE FROBENIUS-EULER NUMBERS AND POLYNOMIALS

On interpolation functions for the number of k-ary Lyndon words associated with the Apostol–Euler numbers and their applications

On a family of special numbers and polynomials associated with Apostol-type numbers and polynomials and combinatorial numbers

Identities and derivative formulas for the combinatorial and Apostol-Euler type numbers by their generating functions

A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials

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