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Yilmaz Simsek

Yilmaz Simsek

D-Index & Metrics

Mathematics

D-Index
39
Citations
6245
World Ranking
2208
National Ranking
16

Overview

Yilmaz Simsek is affiliated with Akdeniz University in Turkey and specializes in mathematics, with a focus on algebra and number theory, applied mathematics, and discrete mathematics and combinatorics. Their research encompasses advanced mathematical identities, combinatorial mathematics, and mathematical functions and polynomials.

Themes in Yilmaz Simsek's work include:

  • Advanced Mathematical Identities
  • Advanced Combinatorial Mathematics
  • Mathematical functions and polynomials
  • Analytic Number Theory Research
  • Advanced Mathematical Theories and Applications
  • Mathematical Inequalities and Applications
  • Advanced mathematical theories

They have published extensively in various academic venues. The most frequent publication platforms include:

  • AIP conference proceedings
  • Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas
  • Symmetry
  • Mathematical Methods in the Applied Sciences
  • arXiv (Cornell University)

Yilmaz Simsek has collaborated regularly with several coauthors, including:

  • Neslıhan Kilar
  • Damla Gün
  • İrem Küçükoğlu
  • Füsun Yalçın
  • Abdelmejid Bayad

Some of their recent publications illustrate the scope of their contributions to the field:

  • Applications of constructed new families of generating-type functions interpolating new and known classes of polynomials and numbers, 2021, Mathematical Methods in the Applied Sciences
  • Some new identities and inequalities for Bernoulli polynomials and numbers of higher order related to the Stirling and Catalan numbers, 2020, Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas
  • New classes of Catalan-type numbers and polynomials with their applications related to p-adic integrals and computational algorithms, 2020, TURKISH JOURNAL OF MATHEMATICS
  • On New Formulas of Fibonacci and Lucas Numbers Involving Golden Ratio Associated with Atomic Structure in Chemistry, 2021, Symmetry
  • Identities and relations for Hermite-based Milne-Thomson polynomials associated with Fibonacci and Chebyshev polynomials, 2020, Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas

The subjects addressed in these works cover areas such as generating functions, polynomial classes, p-adic integrals, atomic structure models in chemistry via Fibonacci and Lucas number formulas, and Hermite-based polynomial identities linked with classical polynomial families.

Best Publications

  • On the generalized Apostol-type Frobenius-Euler polynomials

    Burak Kurt;Yilmaz Simsek

  • $q$-Bernoulli Numbers and Polynomials Associated with Multiple $q$-Zeta Functions and Basic $L$-series

    T. Kim;Y. Simsek;H. M. Srivastav

  • Remarks on q-Bernoulli numbers associated with Daehee numbers

    H. Ozden;I. N. Cangul;Y. Simsek

  • Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions

    Yilmaz Şimşek

  • Generating functions for generalized Stirling type numbers, Array type polynomials, Eulerian type polynomials and their applications

    Yilmaz Simsek

  • A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials

    Hacer Ozden;Yilmaz Simsek;H. M. Srivastava

  • Twisted (h,q)-Bernoulli numbers and polynomials related to twisted (h,q)-zeta function and L-function☆

    Yilmaz Simsek

  • A new extension of q-Euler numbers and polynomials related to their interpolation functions

    Hacer Ozden;Yilmaz Simsek

  • On p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers

    Y. Simsek

  • Special functions related to Dedekind-type DC-sums and their applications

    Y. Simsek

  • A New Generating Function of (q-) Bernstein-Type Polynomials and Their Interpolation Function

    Yilmaz Simsek;Mehmet Acikgoz

  • q-Analogue of twisted l-series and q-twisted Euler numbers

    Yilmaz Simsek

  • A note on p-adic q-Euler measure

    H. Ozden;Y. Simsek;S.-H. Rim

  • Multivariate Interpolation Functions of Higher-Order -Euler Numbers and Their Applications

    Hacer Ozden;Ismail Naci Cangul;Yilmaz Simsek

  • ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS

    I. N.. Cangul;H. Ozden;V. Kurt;Y. Simsek

  • Twisted Dedekind Type Sums Associated with Barnes' Type Multiple Frobenius-Euler l-Functions

    Mehmet Cenkci;Yilmaz Simsek;Mumun Can;Veli Kurt

  • Some families of Genocchi type polynomials and their interpolation functions

    H. M. Srivastava;Burak Kurt;Yilmaz Simsek

  • Complete sum of products of (h, q)-extension of Euler polynomials and numbers

    Yilmaz Simsek

  • A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra

    Rahime Dere;Yilmaz Simsek;H.M. Srivastava

  • ON THE ANALOGS OF BERNOULLI AND EULER NUMBERS, RELATED IDENTITIES AND ZETA AND L-FUNCTIONS

    Tae-Kyun Kim;Seog-Hoon Rim;Yilmaz Simsek;Dae-Yeoul Kim

Frequent Co-Authors

Hari M. Srivastava
Hari M. Srivastava University of Victoria
Taekyun Kim
Taekyun Kim Kwangwoon University
Fadi Al-Turjman
Fadi Al-Turjman Near East University
Ron Goldman
Ron Goldman Rice University

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