Abstract

In this paper, we study some geometric properties of a class of analytic functions which is defined from the J J -fraction expansion of the ratio z f ′ ( z ) / f ( z ) {zf’(z)}/{f(z)} . We find the disk domain which is mapped into a starlike domain by these functions. Moreover, we study similar results for two different normalized forms of regular Coulomb wave functions and a normalized Bessel function of the first kind by using continued fractions expansions.

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