Algebraic and Geometric Analysis

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• SERPİL HALICI

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• MUSTAFA ÖZDEMİR

We review the algebraic structure of $\mathbb{H}{\sharp}$ and show that $\mathbb{H}{\sharp}$ has a scalar product that allows as to identify it with semi Euclidean ${\mathbb{E}}^4_2$ . We show that a pair q and p of unit split quaternions in $\mathbb{H}{\sharp}$ determines a rotation $R_{qp}:\mathbb{H}{\sharp}{\righta…

• LEVENT KULA

We review the algebraic structure of $\mathbb{H}{\sharp}$ and show that $\mathbb{H}{\sharp}$ has a scalar product that allows as to identify it with semi Euclidean ${\mathbb{E}}^4_2$ . We show that a pair q and p of unit split quaternions in $\mathbb{H}{\sharp}$ determines a rotation $R_{qp}:\mathbb{H}{\sharp}{\righta…

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• SERPİL HALICI

Fractional order quaternion‐valued neural networks are a type of fractional order neural networks for which neuron state, synaptic connection strengths, and neuron activation functions are quaternion. This paper is dealing with the Mittag‐Leffler stability and adaptive impulsive synchronization of fractional order neu…

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We consider the differential equations y '' = λ 0 ( x ) y ' + s 0 ( x ) y , where λ 0 ( x ), s 0 ( x ) are C ∞ -functions. We prove (i) if the differential equation has a polynomial solution of degree n > 0, then δ n = λ n s n −1 − λ n −1 s n = 0, where λ n = λ' n −1 + s n −1 + λ 0 λ n −1 and s n = s ' n −1 + s 0 λ k…

• HAKAN ÇİFTCİ

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• MELEK ERDOĞDU

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• SÜLEYMAN DEMİR

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• MURAT TANIŞLI

We propose here a new approximation scheme to obtain analytic expressions for the bound state energies and eigenfunctions of Yukawa-like potentials. The predicted energies are in excellent agreement with the accurate numerical values reported in the literature.

• KORAY KÖKSAL