Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials HM Srivastava, I Kucukoğlu, Y Simsek Journal of Number Theory 181, 117-146, 2017 | 45 | 2017 |

An approach to negative hypergeometric distribution by generating function for special numbers and polynomials İ KÜÇÜKOĞLU, B ŞİMŞEK, Y ŞİMŞEK Turkish Journal of Mathematics 43 (5), 2337-2353, 2019 | 33 | 2019 |

Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function I Kucukoglu, B Simsek, Y Simsek Axioms 8 (4), 112, 2019 | 22 | 2019 |

On a family of special numbers and polynomials associated with Apostol-type numbers and polynomials and combinatorial numbers I Kucukoglu, Y Simsek Applicable Analysis and Discrete Mathematics 13 (2), 478-494, 2019 | 22 | 2019 |

Identities and relations on the q-Apostol type Frobenius-Euler numbers and polynomials I Kucukoglu, Y Simsek JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY 56 (1), 265-284, 2019 | 22 | 2019 |

A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials I Kucukoğlu, Y Simsek, HM Srivastava Quaestiones Mathematicae 42 (4), 465-478, 2019 | 18 | 2019 |

Multidimensional Bernstein polynomials and Bezier curves: Analysis of machine learning algorithm for facial expression recognition based on curvature I Kucukoglu, B Simsek, Y Simsek Applied Mathematics and Computation 344, 150-162, 2019 | 18 | 2019 |

New classes of Catalan-type numbers and polynomials with their applications related to -adic integrals and computational algorithms İ KÜÇÜKOĞLU, B ŞİMŞEK, Y ŞİMŞEK Turkish Journal of Mathematics 44 (6), 2337-2355, 2020 | 16 | 2020 |

A note on Generating functions for the unification of the Bernstein type basis functions I Kucukoglu, Y Simsek Filomat 30 (4), 985-992, 2016 | 13 | 2016 |

New Formulas and Numbers Arising from Analyzing Combinatorial Numbers and Polynomials I Kucukoglu, Y Simsek Montes Taurus Journal of Pure and Applied Mathematics 3 (3), 238–259, 2021 | 11 | 2021 |

k-ary Lyndon Words and Necklaces Arising as Rational Arguments of Hurwitz–Lerch Zeta Function and Apostol–Bernoulli Polynomials I Kucukoglu, A Bayad, Y Simsek Mediterranean Journal of Mathematics 14 (6), 2017 | 11 | 2017 |

A novel architecture for data-repeaters in the future Internet M Gunay, F Al-Turjman, I Kucukoglu, Y Simsek Canadian Journal of Electrical and Computer Engineering 38 (4), 300-306, 2015 | 11 | 2015 |

Construction and computation of unified Stirling-type numbers emerging from *p*-adic integrals and symmetric polynomialsI Kucukoglu, Y Simsek Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie …, 2021 | 10 | 2021 |

A note on combinatorial numbers and polynomials I Kucukoglu Dedicated to Professor Gradimir V. Milovanović on the Occasion of his 70th …, 2018 | 10 | 2018 |

Derivative formulas related to unification of generating functions for Sheffer type sequences I Kucukoglu AIP Conference Proceedings 2116 (1), 2019 | 8 | 2019 |

Observations on identities and relations for interpolation functions and special numbers I Kucukoglu, Y Simsek Advanced Studies in Contemporary Mathematics 28 (1), 41-56, 2018 | 8 | 2018 |

On k-ary Lyndon words and their generating functions I Kucukoglu, Y Simsek AIP Conference Proceedings 1863 (1), 300004-1–300004-4, 2017 | 8 | 2017 |

On interpolation functions for the number of k-ary Lyndon words associated with the Apostol–Euler numbers and their applications I Kucukoglu, Y Simsek Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie …, 2019 | 6 | 2019 |

Identities and derivative formulas for the combinatorial and Apostol-Euler type numbers by their generating functions I Kucukoglu, Y Simsek FILOMAT 32 (20), 2018 | 6 | 2018 |

Implementation of computation formulas for certain classes of Apostol-type polynomials and some properties associated with these polynomials I Kucukoglu Communications Faculty of Sciences University of Ankara Series A1 …, 2021 | 5 | 2021 |