Cytological analysis under light microscopy of the single hybrid P30R50 of silage corn revealed an abnormal pattern of microsporogenesis that affected the meiotic products. Meiosis progressed normally until diakinesis, but before migration to the metaphase plate, bivalents underwent total desynapsis and 20 univalent chromosomes were scattered in the cytoplasm. At this stage, meiocytes also...

Potassium is a major component of both plant and animal organisms, yet information on the role of this element in metabolism is limited. A compilation (1) of the inorganic composition of many plant species reveals that a major portion of normal leaves contain from 1 to 4 % K+ on a dry weight basis. Potassium deficiency symptoms are noted when the K + contents of leaves range from 0.1 to 1.3 % o...

where h and g are analytic in D. We call h the analytic part and g the coanalytic part of f . A necessary and sufficient condition for f to be locally univalent and sense preserving in D is that |h z | > |g z | for all z in D see 1 . Let H be the class of functions of the form 1.1 that are harmonic univalent and sense preserving in the unit disk U {z : |z| < 1} for which f 0 fz 0 − 1 0. Then fo...

Let f and F be members of . The function f is said to be subordinate to F, or F is said to be superordinate to f , if there exists a function w analytic in U, with w(0)= 0 and |w(z)| < 1, and such that f (z)= F(w(z)). In such a case, we write f ≺ F or f (z)≺ F(z). If the function F is univalent in U, then f ≺ F if and only if f (0)= F(0) and f (U)⊂ F(U) (cf. [1, 2]). Let φ : C2 → C and let h be...

The pre-Schwarzianand Schwarzian derivatives of analytic functions f are defined in U, where U is the open unit disk. pre-Schwarzian as well popular tools for studying geometric properties mappings. These can also be used to obtain either necessary or sufficient conditions univalence a function f. Because computational difficulty, norm has received more attention than norm. It applications theo...

Abstract In the paper there is considered a generalization of well-known Fekete–Szegö type problem onto some Bavrin’s families complex valued holomorphic functions several variables. The definitions correspond to geometric properties univalent variable, like as starlikeness and convexity. First all, are investigated such which elements satisfy also ( j , k )-symmetry condition. As application t...