Yazar "Tuglu, Naim" için Eğitim Bilimleri Fakültesi / Faculty of Education listeleme
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q-Generalization of Biperiodic Fibonacci and Lucas Polynomials
Kizilates, Can; Firengiz, Mirac Cetin; Tuglu, Naim (2017)In this paper, we de fine q-analogue of the biperiodic Fibonacci and Lucas polynomials. We obtain generating function and several properties of these polynomials. We also define q-analogue of the biperiodic incomplete ... -
Some Identities for Fibonacci and Incomplete Fibonacci p-Numbers via the Symmetric Matrix Method
Firengiz, M. Cetin; Tasci, Dursun; Tuglu, Naim (2014)We obtain some new formulas for the Fibonacci and Lucas p-numbers, by using the symmetric infinite matrix method. We also give some results for the Fibonacci and Lucas p-numbers by means of the binomial inverse pairing. -
Some Identities of Harmonic and Hyperharmonic Fibonacci Numbers
Cetin, Mirac; Kizilates, Can; Yesil Baran, Fatma; Tuglu, Naim (2021)This paper is concerned with the combinatorial identities of the harmonic and the hyperharmonic Fibonacci numbers. By using the symmetric algorithm, we get some identities which improve the usual results and generalize ... -
SOME RESULTS ON THE q-ANALOGUES OF THE INCOMPLETE FIBONACCI AND LUCAS POLYNOMIALS
Srivastava, H.M.; Tuglu, Naim; Cetin, Mirac (2019)In the present paper, we introduce new families of the q-Fibonacci and q-Lucas polynomials, which are represented here as the incomplete q-Fibonacci polynomials F-n(k) (x, s, q) and the incomplete q-Lucas polynomials L-n(k) ...