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## A Note on Modified Pell Polynomials

#### Nusret Karaaslan [1]

In this paper, we study the modified Pell polynomials. We first give the proof of the generating function of these polynomials. We then give the proof of the Binet formula for the modified Pell polynomials, which gives the th modified Pell polynomial. We also obtain some summation formula for these polynomials. In addition, we investigate some well-known identities including Catalan, Cassini, d’Ocagne and Gelin-Cesaro identities involving the modified Pell polynomials.

Modified Pell sequence, Modified Pell polynomial sequence
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Primary Language en Basic Sciences Research Article Author: Nusret Karaaslan (Primary Author)Institution: Aksaray UniversityCountry: Turkey Publication Date : June 30, 2019
 Bibtex @research article { asujse511850, journal = {Aksaray University Journal of Science and Engineering}, issn = {}, eissn = {2587-1277}, address = {Aksaray Üniversitesi, Fen Bilimleri Enstitüsü, Merkez Kampüs, 68100 Aksaray}, publisher = {Aksaray University}, year = {2019}, volume = {3}, pages = {1 - 7}, doi = {10.29002/asujse.511850}, title = {A Note on Modified Pell Polynomials}, key = {cite}, author = {Karaaslan, Nusret} } APA Karaaslan, N . (2019). A Note on Modified Pell Polynomials. Aksaray University Journal of Science and Engineering , 3 (1) , 1-7 . DOI: 10.29002/asujse.511850 MLA Karaaslan, N . "A Note on Modified Pell Polynomials". Aksaray University Journal of Science and Engineering 3 (2019 ): 1-7 Chicago Karaaslan, N . "A Note on Modified Pell Polynomials". Aksaray University Journal of Science and Engineering 3 (2019 ): 1-7 RIS TY - JOUR T1 - A Note on Modified Pell Polynomials AU - Nusret Karaaslan Y1 - 2019 PY - 2019 N1 - doi: 10.29002/asujse.511850 DO - 10.29002/asujse.511850 T2 - Aksaray University Journal of Science and Engineering JF - Journal JO - JOR SP - 1 EP - 7 VL - 3 IS - 1 SN - -2587-1277 M3 - doi: 10.29002/asujse.511850 UR - https://doi.org/10.29002/asujse.511850 Y2 - 2019 ER - EndNote %0 Aksaray University Journal of Science and Engineering A Note on Modified Pell Polynomials %A Nusret Karaaslan %T A Note on Modified Pell Polynomials %D 2019 %J Aksaray University Journal of Science and Engineering %P -2587-1277 %V 3 %N 1 %R doi: 10.29002/asujse.511850 %U 10.29002/asujse.511850 ISNAD Karaaslan, Nusret . "A Note on Modified Pell Polynomials". Aksaray University Journal of Science and Engineering 3 / 1 (June 2019): 1-7 . https://doi.org/10.29002/asujse.511850 AMA Karaaslan N . A Note on Modified Pell Polynomials. Aksaray J. Sci. Eng.. 2019; 3(1): 1-7. Vancouver Karaaslan N . A Note on Modified Pell Polynomials. Aksaray University Journal of Science and Engineering. 2019; 3(1): 7-1.