this study was carried out in order to investigate on chromosomal behavior during meiosis in herbaceum (iranian endemic), arboretum species, f1 hybrids of two species and bc4 genotypes. the endemic varieties used in this study were semnan and shahreza (herbaceum) and vtdl as arboretum cultivar. f1s investigations showed that in the adjacent and alternative quadrivalents frequently but the bc4 o...

Thermal behavior of various solid feldspars are different, namely those of bivalent cations show no change in the distribution of Al and Si atoms, whereas feldspars of univalent cations become more disordered with raising temperature. In the latter case Al atoms migrate from the sites they occupe at low temperatures and interchange positions with the Si atoms. At high temperatures (but stil...

a function is said to be bi-univalent on the open unit disk d if both the function and its inverse are univalent in d. not much is known about the behavior of the classes of bi-univalent functions let alone about their coefficients. in this paper we use the faber polynomial expansions to find coefficient estimates for four well-known classes of bi-univalent functions which are defined by subord...

thermal behavior of various solid feldspars are different, namely those of bivalent cations show no change in the distribution of al and si atoms, whereas feldspars of univalent cations become more disordered with raising temperature. in the latter case al atoms migrate from the sites they occupe at low temperatures and interchange positions with the si atoms. at high temperatures (but still be...

A function is said to be bi-univalent on the open unit disk D if both the function and its inverse are univalent in D. Not much is known about the behavior of the classes of bi-univalent functions let alone about their coefficients. In this paper we use the Faber polynomial expansions to find coefficient estimates for four well-known classes of bi-univalent functions which are defined by subord...

Let q1 and q2 belong to a certain class of normalized analytic univalent functions in the open unit disk of the complex plane. Sufficient conditions are obtained for normalized analytic functions p to satisfy the double subordination chain q1(z)≺ p(z)≺ q2(z). The differential sandwich-type result obtained is applied to normalized univalent functions and to Φ-like functions.

In [6] it was shown that if f ∈ is starlike of order α, α= 0.294, . . . , so is the Libera integral operator F . We also know that (see, e.g., [1]) there are functions which are univalent or spiral-like in so that their Libera integral operators are not univalent or spiral-like in . Li and Owa [5] proved that if f ∈ is univalent in , then Fn(z) is starlike in |z| < 3/8. The number 3/8 is sharp....

‘Niagara Steck’ and Variegada’ are two grapevine varieties that arose spontaneously as somatic mutants of Rosada’. Berries characterize at young stages exhibiting a remarkable brown reticulated structure on the epidermis which develops into brown-bronze russet-like berries ripe. The mature have strongly acidic flesh. shows notable variegation in leaves berries. Meiotic studies were carried out ...