E
Emrah Kılıç
Researcher at TOBB University of Economics and Technology
Publications - 135
Citations - 1232
Emrah Kılıç is an academic researcher from TOBB University of Economics and Technology. The author has contributed to research in topics: Fibonacci number & Matrix (mathematics). The author has an hindex of 20, co-authored 129 publications receiving 1125 citations. Previous affiliations of Emrah Kılıç include Mansoura University & Stellenbosch University.
Papers
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The Binet formula, sums and representations of generalized Fibonacci p-numbers
TL;DR: The generalized Fibonacci p-numbers are considered and the generalized Binet formula, sums, combinatorial representations and generating function are given and an explicit formula for the sums is derived.
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Explicit formula for the inverse of a tridiagonal matrix by backward continued fractions
TL;DR: An efficient and fast computing method is given to obtain the elements of the inverse of a tridiagonal matrix by backward continued fractions by exploiting the relationships between the usual and backward continued fraction.
Journal Article
Tribonacci sequences with certain indices and their sums
TL;DR: This paper derives new recurrence relations and generating matrices for the sums of usual Tribonacci numbers and 4n subscripted Tribonaci sequences, fT4ng, fSng and fS4ng and their sums and represents relationships between these sequences and permanents of certain matrices.
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On the order-k generalized Lucas numbers
Dursun Tasci,Emrah Kılıç +1 more
TL;DR: A new generalization of the Lucas numbers in matrix representation is given and a relation between the generalized order-k Lucas sequences and Fibonacci sequences is presented.
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On the Generalized Order-$k$ Fibonacci and Lucas Numbers
Emrah Kılıç,Dursun Tasci +1 more
TL;DR: In this article, the generalized Binet formula, combinatorial representation and some relations involving the generalized order-k Fibonacci and Lucas numbers are discussed. But they do not consider the generalized binet formula for the generalized Lucas numbers.