The $k-$ Fibonacci numbers $F_{k,n}\:(k>0)$, defined recursively by $F_{k,0}=0$ , $F_{k,1}=1$ and $F_{k,n}=kF_{k,n}+F_{k,n-1}$ for $n\geq1$ are used to define a new class $\mathcal{S}\mathcal{L}^k$. The purpose of this paper is to apply properties of $k$-Fibonacci numbers to consider the classical problem of estimation of
the Fekete–Szegö problem for the class $\mathcal{S}\mathcal{L}^{k}$. An application for inverse
functions is also given.
Sokół, J., Raina, R. K., & Yilmaz Özgür, N. (2015). Applications of $k$-Fibonacci numbers for the starlike analytic functions. Hacettepe Journal of Mathematics and Statistics, 44(1), 121-127.
AMA
Sokół J, Raina RK, Yilmaz Özgür N. Applications of $k$-Fibonacci numbers for the starlike analytic functions. Hacettepe Journal of Mathematics and Statistics. February 2015;44(1):121-127.
Chicago
Sokół, Janusz, Ravinder Krishna Raina, and Nihal Yilmaz Özgür. “Applications of $k$-Fibonacci Numbers for the Starlike Analytic Functions”. Hacettepe Journal of Mathematics and Statistics 44, no. 1 (February 2015): 121-27.
EndNote
Sokół J, Raina RK, Yilmaz Özgür N (February 1, 2015) Applications of $k$-Fibonacci numbers for the starlike analytic functions. Hacettepe Journal of Mathematics and Statistics 44 1 121–127.
IEEE
J. Sokół, R. K. Raina, and N. Yilmaz Özgür, “Applications of $k$-Fibonacci numbers for the starlike analytic functions”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 1, pp. 121–127, 2015.
ISNAD
Sokół, Janusz et al. “Applications of $k$-Fibonacci Numbers for the Starlike Analytic Functions”. Hacettepe Journal of Mathematics and Statistics 44/1 (February 2015), 121-127.
JAMA
Sokół J, Raina RK, Yilmaz Özgür N. Applications of $k$-Fibonacci numbers for the starlike analytic functions. Hacettepe Journal of Mathematics and Statistics. 2015;44:121–127.
MLA
Sokół, Janusz et al. “Applications of $k$-Fibonacci Numbers for the Starlike Analytic Functions”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 1, 2015, pp. 121-7.
Vancouver
Sokół J, Raina RK, Yilmaz Özgür N. Applications of $k$-Fibonacci numbers for the starlike analytic functions. Hacettepe Journal of Mathematics and Statistics. 2015;44(1):121-7.
