Naim Tuğlu

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All published works
Action Title Year Authors
+ Apostol Bernoulli-Fibonacci Polynomials, Apostol Euler-Fibonacci Polynomials and Their Generating Functions 2023 Elif GÜLAL
Naim Tuğlu
+ PDF Chat Orthogonalizing q −Bernoulli Polynomials 2023 Naim Tuğlu
Semra Kuş
+ A study of harmonic Fibonacci polynomials associated With Bernoulli-F and Euler–Fibonacci polynomials 2023 Naim Tuğlu
Semra Kuş
Can Kızılateş
+ PDF Chat Some Identities of Harmonic and Hyperharmonic Fibonacci Numbers 2021 Miraç ÇETİN
Can Kızılateş
Fatma YEŞİL BARAN
Naim Tuğlu
+ PDF Chat Some Identities of Harmonic and Hyperharmonic Fibonacci Numbers 2021 Miraç ÇETİN
Can Kızılateş
Fatma YEŞİL BARAN
Naim Tuğlu
+ PDF Chat Some Identities of Harmonic and Hyperharmonic Fibonacci Numbers 2021 Miraç ÇETİN
Can Kızılateş
Fatma YEŞİL BARAN
Naim Tuğlu
+ PDF Chat Bernoulli F-polynomials and Fibo–Bernoulli matrices 2019 Semra Kuş
Naim Tuğlu
Taekyun Kim
+ PDF Chat New Families of Three-Variable Polynomials Coupled with Well-Known Polynomials and Numbers 2019 Can Kızılateş
Bayram Çekım
Naim Tuğlu
Taekyun Kim
+ PDF Chat On the (p, q)–Chebyshev Polynomials and Related Polynomials 2019 Can Kızılateş
Naim Tuğlu
Bayram Çekım
+ PDF Chat On the Bicomplex Generalized Tribonacci Quaternions 2019 Can Kızılateş
Paula Catarino
Naim Tuğlu
+ PDF Chat Some results on the q-analogues of the incomplete Fibonacci and Lucas Polynomials 2019 H. M. Srivastava
Naim Tuğlu
Miraç Çetin
+ PDF Chat On the Norms of Geometric and Symmetric Geometric Circulant Matrices with the Tribonacci Number 2018 Can Kızılateş
Naim Tuğlu
+ PDF Chat Incomplete q-Chebyshev polynomials 2018 Elif Ercan
Miraç Çetin
Naim Tuğlu
+ q-Riordan representation 2017 Fatma YEŞİL BARAN
Naim Tuğlu
+ PDF Chat On the bounds for the spectral norms of geometric circulant matrices 2016 Can Kızılateş
Naim Tuğlu
+ Incomplete q-Chebyshev Polynomials 2016 Elif Ercan
Mirac Cetin Firengiz
Naim Tuğlu
+ $q$-Riordan array for $q$-Pascal matrix and its inverse matrix 2016 Naim Tuğlu
Fatma YEŞİL
Maciej Dziemiańczuk
E. Gökçen Koçer
+ Incomplete q-Chebyshev Polynomials 2016 Elif Ercan
Mirac Cetin Firengiz
Naim Tuğlu
+ Some Combinatorial Identities of \(q\)-Harmonic and \(q\)-Hyperharmonic Numbers 2015 Can Kızılateş
Naim Tuğlu
+ On the harmonic and hyperharmonic Fibonacci numbers 2015 Naim Tuğlu
Can Kızılateş
Seyhun Kesim
+ PDF Chat On the norms of circulant and r-circulant matrices with the hyperharmonic Fibonacci numbers 2015 Naim Tuğlu
Can Kızılateş
+ q-Bernoulli Matrices and Their Some Properties 2015 Naim Tuğlu
Semra Kuş
+ On the Norms of Some Special MatricesWith the Harmonic Fibonacci Numbers 2015 Naim Tuğlu
Can Kızılateş
+ On the <i>q</i> —Seidel Matrix 2014 Mirac Cetin Firengiz
Naim Tuğlu
+ PDF Chat The<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>F</mml:mi></mml:mrow></mml:math>-Analogue of Riordan Representation of Pascal Matrices via Fibonomial Coefficients 2014 Naim Tuğlu
Fatma Yeşil
E. Gökçen Koçer
Maciej Dziemiańczuk
+ Some Identities for Fibonacci and Incomplete Fibonacci p-Numbers via the Symmetric Matrix Method 2014 Mirac Cetin Firengiz
Dursun Taşçı
Naim Tuğlu
+ On Fibo-Pascal Matrix Involving k-Fibonacci and k-Pell Matrices 2011 Dursun Taşçı
Naim Tuğlu
Mustafa Aşçı
+ Hyperbolic Functions with Second Order Recurrence Sequences. 2008 E. Gökçen Koçer
Naim Tuğlu
Alexey Stakhov
+ Research Article Determinant and Inverse of Meet and Join Matrices 2007 Ercan Altınışık
Naim Tuğlu
Pentti Haukkanen
+ The Binet Formulas for the Pell and Pell-Lucas p-Numbers. 2007 E. Gökçen Koçer
Naim Tuğlu
+ PDF Chat Determinant and Inverse of Meet and Join Matrices 2007 Ercan Altınışık
Naim Tuğlu
Pentti Haukkanen
+ On the representation of k-generalized Fibonacci and Lucas numbers 2005 Ahmet Ali Öcal
Naim Tuğlu
Ercan Altınışık
+ PDF Chat GCD matrices, posets, and nonintersecting paths 2005 Ercan Altınışık
Bruce E. Sagan
Naim Tuğlu
+ PDF Chat A note on bounds for norms of the reciprocal LCM matrix 2004 Ercan Altınışık
Naim Tuğlu
Pentti Haukkanen
+ GCD matrices, posets, and nonintersecting paths 2004 Ercan Altınışık
Bruce E. Sagan
Naim Tuğlu
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ On the harmonic and hyperharmonic Fibonacci numbers 2015 Naim Tuğlu
Can Kızılateş
Seyhun Kesim
7
+ On Smith's determinant 1997 Pentti Haukkanen
Jun Wang
Juha Sillanpää
5
+ PDF Chat A symmetric algorithm for hyperharmonic and Fibonacci numbers 2008 Ayhan Dil
István Mező
5
+ Pascal's Matrices 1993 Gregory S. Call
Daniel J. Velleman
5
+ PDF Chat On the Value of a Certain Arithmetical Determinant 1875 Henry J. Stephen Smith
4
+ On meet and join matrices associated with incidence functions 2003 Ismo Korkee
Pentti Haukkanen
4
+ On meet matrices on posets 1996 Pentti Haukkanen
4
+ Introduction to Arithmetical Functions 1985 Paul McCarthy
3
+ An extension of the generalized pascal matrix and its algebraic properties 1998 Zhizheng Zhang
Maixue Liu
3
+ Incomplete Fibonacci and Lucas numbers 1996 Piero Filipponi
3
+ On greatest common divisor matrices and their applications 1991 B. V. Rajarama Bhat
3
+ On the norms of circulant matrices with the Fibonacci and Lucas numbers 2004 Süleyman Solak
3
+ Greatest common divisor matrices 1989 Scott J. Beslin
Steve Ligh
3
+ Incomplete Fibonacci and Lucas <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>p</mml:mi></mml:math>-numbers 2010 Dursun Taşçı
Mirac Cetin Firengiz
3
+ PDF Chat On the norms of r-circulant matrices with the hyper-Fibonacci and Lucas numbers 2014 Mustafa Bahşı
Süleyman Solak
3
+ Fibonacci numbers and the Rogers-Ramanujan identities 2004 George E. Andrews
3
+ Generating functions of the incomplete Fibonacci and Lucas numbers 1999 Ákos Pintér
H. M. Srivastava
3
+ The linear algebra of the generalized Pascal matrix 1997 Zhizheng Zhang
3
+ Riordan arrays and combinatorial sums 1994 Renzo Sprugnoli
3
+ PDF Chat THE GENERALIZED PASCAL MATRIX VIA THE GENERALIZED FIBONACCI MATRIX AND THE GENERALIZED PELL MATRIX 2008 Gwang-Yeon Lee
Seong‐Hoon Cho
3
+ Applications of q-Calculus in Operator Theory 2013 Ali̇ Aral
Vijay Gupta
Ravi P. Agarwal
3
+ PDF Chat Another generalisation of smith's determinant 1989 Scott J. Beslin
Steve Ligh
2
+ Binomial determinants, paths, and hook length formulae 1985 Ira M. Gessel
Gérard Viennot
2
+ Explicit Expressions of Smith's Determinant on a Poset 2001 Bo Ying Wang
2
+ PDF Chat GCD matrices, posets, and nonintersecting paths 2005 Ercan Altınışık
Bruce E. Sagan
Naim Tuğlu
2
+ PDF Chat On the norms of circulant and r-circulant matrices with the hyperharmonic Fibonacci numbers 2015 Naim Tuğlu
Can Kızılateş
2
+ q-Bernoulli numbers and polynomials 1948 L. Carlitz
2
+ The Matrix of Chromatic Joins 1993 W. T. Tutte
2
+ Classical Theory of Arithmetic Functions 2018 R. Sivaramakrishnan
2
+ PDF Chat A New Class of q-Fibonacci Polynomials 2003 Johann Cigler
2
+ A simple approach to q-Chebyshev polynomials 2012 Johann Cigler
2
+ PDF Chat Determinants of Matrices Associated with Incidence Functions on Posets 2004 Shaofang Hong
Qi Sun
2
+ PDF Chat Hadamard determinants Möbius functions, and the chromatic number of a graph 1968 Herbert S. Wilf
2
+ PDF Chat A Note on q-Bernoulli Numbers and Polynomials 2006 A. S. Hegazi
Mostafa Mansour
2
+ PDF Chat Determinants on semilattices 1969 Bernt Lindström
2
+ The unitary analogues of some identities for certain arithmetical functions 1961 H. Jager
2
+ PDF Chat Bernoulli matrix and its algebraic properties 2006 Zhizheng Zhang
Jun Wang
2
+ PDF Chat q-Bernoulli polynomials and q-umbral calculus 2014 Dae San Kim
Tae Kyun Kim
2
+ Arithmetic properties of q-Fibonacci numbers and q-pell numbers 2006 Hao Pan
2
+ Bounds for determinants of meet matrices associated with incidence functions 2001 Ismo Korkee
Pentti Haukkanen
2
+ On the Sum of Reciprocal Generalized Fibonacci Numbers 2011 Sarah Holliday
Takao Komatsu
2
+ A note on spectral norms of even-order r-circulant matrices 2014 Zhaolin Jiang
Jianwei Zhou
2
+ A Combinatorial Approach to Hyperharmonic Numbers 2003 Arthur T. Benjamin
David J. Gaebler
Robert Gaebler
2
+ A class of numbers associated with the Lucas numbers 1997 R. K. Raina
H. M. Srivastava
2
+ A q-analogue of the Riordan group 2013 Gi‐Sang Cheon
Ji-Hwan Jung
Yongdo Lim
2
+ A factorization of the symmetric Pascal matrix involving the Fibonacci matrix 2007 Zhizheng Zhang
Xin Wang
2
+ Matrices associated with arithmetical functions 1993 Keith Bourque
Steve Ligh
2
+ On the bounds for the norms of r-circulant matrices with the Fibonacci and Lucas numbers 2010 Shouqiang Shen
Cen Jian-miao
2
+ On the Norms of Some Special MatricesWith the Harmonic Fibonacci Numbers 2015 Naim Tuğlu
Can Kızılateş
2
+ On a general form of meet matrices associated with incidence functions 2005 Ismo Korkee
Pentti Haukkanen
2