Öneriler

Çalışmamızı, araştırıcılara öneriler sunarak sonlandırmak istiyoruz. Padovan ve Perrin sayı dizilerinin her ikisi ile de ilişkili olan genel bir matris dizisi tanımlamak ve sonuçlar elde etmek için araştırma yapılabilir. Genel matris dizisi ile bu çalışmada ki matris dizileri arasındaki ilişkiler bulunabilir. Tanımlanacak olan genel matris dizisinin binomial ve tekrarlanan binomial dönüşümleri de çalışılabilir. Genel matris dizisinin binomial dönüşümü ile bu çalışmadaki binomial dönüşümler arasında geçişler araştırılabilir. Ayrıca uygulanan binomial dönüşümlerin farklı dönüşümler altındaki etkileri araştırılabilir. Örneğin bu dizilerin Catalan ve Hankel dönüşümleri araştırılarak bu dönüşümlerin binomial dönüşümleri ya da tersine bu matris dizilerinin binomial dönüşümlerinin Catalan ve Hankel dönüşümleri incelenebilir.

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ÖZGEÇMİŞ KİŞİSEL BİLGİLER

Adı Soyadı : Nazmiye YILMAZ

Uyruğu : T.C.

Doğum Yeri ve Tarihi : Meram-01.07.1989 Telefon : +90 (332) 2233970 Faks : +90 (332) 2412499 e-mail : nzyilmaz@selcuk.edu.tr EĞİTİM

Derece Adı, İlçe, İl Bitirme Yılı

Lise : Zeki Özdemir Lisesi, Meram, KONYA 2005

Üniversite : Selçuk Üniversitesi, Fen Fakültesi, Matematik _{Bölümü, Selçuklu, KONYA} 2009

Yüksek Lisans : Selçuk Üniversitesi, Fen Bilimleri Enstitüsü,

Matematik Anabilim Dalı, Selçuklu, KONYA 2011 Doktora : Selçuk Üniversitesi, Fen Bilimleri Enstitüsü,

Matematik Anabilim Dalı, Selçuklu, KONYA 2015 İŞ DENEYİMLERİ

Yıl Kurum Görevi

2010-halen Selçuk Üniversitesi, Fen Fakültesi,

Matematik Bölümü Arş. Gör.

YABANCI DİLLER

2009 KPDS(İngilizce puanı): 79 YAYINLAR

1-N. Yilmaz, N. Taskara, 2014, Tribonacci and Tribonacci-Lucas numbers via the determinants of special matrices, Applied Mathematical Sciences, Vol. 8, no. 39, 1947- 1955. (Yüksek Lisans Tezinden yayınlanmıştır)

2-N. Yilmaz, N. Taskara, 2013, Matrix sequences in terms of Padovan and Perrin numbers, Journal of Applied Mathematics, Article Number: 941673 Published: 2013. (Doktora Tezinden yayınlanmıştır)

3-N. Yilmaz, N. Taskara, 2013, Binomial transforms of the Padovan and Perrin matrix sequences, Abstract and Applied Analysis, Article Number: 497418 Published: 2013. (Doktora Tezinden yayınlanmıştır)

4-N. Yilmaz, N. Taskara, 2014, On the negatively subscripted Padovan and Perrin matrix sequences, Communications in Mathematics and Applications, 5(2), 59-72. (Doktora Tezinden yayınlanmıştır)

5-N. Yilmaz, N. Taskara, 2015, On the properties of iterated binomial transform for Padovan and Perrin matrix sequences, Mediterranean Journal of Mathematics, (accepted). (Doktora Tezinden yayınlanmıştır)