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 | 33 | 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 | 14 | 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 | 13 | 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 | 12 | 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 | 10 | 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 | 9 | 2019 |

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 | 9 | 2015 |

A note on Generating functions for the unification of the Bernstein type basis functions I Kucukoglu, Y Simsek Filomat 30 (4), 985-992, 2016 | 8 | 2016 |

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 | 6 | 2019 |

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 | 6 | 2017 |

On k-ary Lyndon words and their generating functions I Kucukoglu, Y Simsek AIP Conference Proceedings 1863 (1), 300004-1–300004-4, 2017 | 6 | 2017 |

A note on combinatorial numbers and polynomials I Kucukoglu Dedicated to Professor Gradimir V. Milovanović on the Occasion of his 70th …, 0 | 5* | |

Derivative formulas related to unification of generating functions for Sheffer type sequences I Kucukoglu AIP Conference Proceedings 2116 (1), 100016, 2019 | 3 | 2019 |

Identities on the k-ary Lyndon words related to a family of zeta functions I Kucukoglu, Y Simsek arXiv preprint arXiv:1606.03837, 2016 | 3 | 2016 |

Implementation of computation formulas for certain classes of Apostol-type polynomials and some properties associated with these polynomials I Kucukoglu arXiv preprint arXiv:2012.09208, 2020 | 2 | 2020 |

Combinatorial identities associated with new families of the numbers and polynomials and their approximation values I Kucukoglu, Y Simsek arXiv preprint arXiv:1711.00850, 2017 | 2 | 2017 |

Some New Identities and Formulas for Higher-Order Combinatorial-Type Numbers and Polynomials I Kucukoglu Filomat 34 (2), 551-558, 2020 | 1 | 2020 |

Identities for Dirichlet and Lambert-type series arising from the numbers of a certain special word I Kucukoglu, Y Simsek Applicable Analysis and Discrete Mathematics 13 (3), 787-804, 2019 | 1 | 2019 |

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 | 1 | 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 | 1 | 2018 |