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Gelin-Cesáro identities for Fibonacci and Lucas quaternions

Ahmet Daşdemir — 2019

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

To date, many identities of different quaternions, including the Fibonacci and Lucas quaternions, have been investigated. In this study, we present Gelin-Cesáro identities for Fibonacci and Lucas quaternions. The identities are a worthy addition to the literature. Moreover, we give Catalan's identity for the Lucas quaternions.

A new application of almost increasing sequences

Ahmet Karakaş — 2019

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

In this paper, a known result dealing with |N, pn|k summability of infinite series has been generalized to the φ-|N, pn;δ|k infinite series by using an almost increasing sequence.

Proper cycles of indefinite quadratic forms and their right neighbors

Ahmet Tekcan — 2007

Applications of Mathematics

In this paper we consider proper cycles of indefinite integral quadratic forms F = ( a , b , c ) with discriminant Δ . We prove that the proper cycles of F can be obtained using their consecutive right neighbors R i ( F ) for i 0 . We also derive explicit relations in the cycle and proper cycle of F when the length l of the cycle of F is odd, using the transformations τ ( F ) = ( - a , b , - c ) and χ ( F ) = ( - c , b , - a ) .

Wage bargaining with discount rates varying in time under different strike decisions

Ahmet ozkardasAgnieszka rusinowska — 2014

RAIRO - Operations Research - Recherche Opérationnelle

We present a non-cooperative union-firm wage bargaining model in which the union must choose between strike and holdout if a proposed wage contract is rejected. The innovative element that our model brings to the existing literature on wage bargaining concerns the parties’ preferences which are not expressed by constant discount rates, but by sequences of discount factors varying in time. First, we determine subgame perfect equilibria if the strike decision of the union is exogenous. We analyze...

Non-degenerate hypersurfaces of a semi-Riemannian manifold with a semi-symmetric metric connection

Ahmet YücesanNihat Ayyildiz — 2008

Archivum Mathematicum

We derive the equations of Gauss and Weingarten for a non-degenerate hypersurface of a semi-Riemannian manifold admitting a semi-symmetric metric connection, and give some corollaries of these equations. In addition, we obtain the equations of Gauss curvature and Codazzi-Mainardi for this non-degenerate hypersurface and give a relation between the Ricci and the scalar curvatures of a semi-Riemannian manifold and of its a non-degenerate hypersurface with respect to a semi-symmetric metric connection....

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