How Many People Can the Earth Support? By Joel E. Cohen. Norton: 1995. Pp. 532. $30, £22.50. UK publication date, 27 March.

Book of numbers

Theory and Application of the Z-Transform Method

How sustainable is smart PSS? An integrated evaluation approach based on rough BWM and TODIM

In this paper, we define a geometric circulant matrix whose entries are the generalized Fibonacci numbers and hyperharmonic Fibonacci numbers. Then we give upper and lower bounds for the spectral norms of these matrices.

https://link.springer.com/content/pdf/10.1186%2Fs13660-016-1255-1.pdf

On the bounds for the spectral norms of geometric circulant matrices

In this paper, we study norms of circulant and r-circulant matrices involving harmonic Fibonacci and hyperharmonic Fibonacci numbers. We obtain inequalities by using matrix norms.

https://link.springer.com/content/pdf/10.1186%2Fs13660-015-0778-1.pdf

On the norms of circulant and r-circulant matrices with the hyperharmonic Fibonacci numbers

In the paper, we define the q − Fibonacci hybrid numbers and the q − Lucas hybrid numbers, respectively. Then, we give some algebraic properties of q − Fibonacci hybrid numbers and the q − Lucas hybrid numbers.

A new generalization of Fibonacci hybrid and Lucas hybrid numbers

By introducing two specific generating functions, we define a kind of parametric Fubini-type polynomials. We investigate some fundamental properties of these parametric-kind Fubini-type polynomials. In particular, we derive the relations between the parametric-kind Fubini-type polynomials and other polynomials including (for example) the parametric-kind Apostol–Bernoulli, the Apostol–Euler and the Apostol–Genocchi polynomials of order $$\alpha $$. Finally, we derive several families of multilinear and multilateral generating functions for the parametric-kind Fubini-type polynomials as well as other polynomials which are considered in this paper.

A parametric kind of the Fubini-type polynomials

In this paper, we introduce the split k-Fibonacci and k-Lucas quaternions. We obtain the Binet formulas, generating functions and exponential generating functions of these quaternions. Moreover, we give the Catalan, Cassini and d’Ocagne identities for the split k-Fibonacci and k-Lucas quaternions.

Can Kızılateş

Papers

A new generalization of Fibonacci hybrid and Lucas hybrid numbers

A parametric kind of the Fubini-type polynomials

On Split k-Fibonacci and k-Lucas Quaternions

On the bounds for the spectral norms of geometric circulant matrices

On the norms of circulant and r-circulant matrices with the hyperharmonic Fibonacci numbers