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Register a new userThe Boundary Propertieses of Some Functionals in Class C
الخواص الحدية لبعض الداليات العقدية في الفضاء C
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حسن بدور( باحث )
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يقدم هذا البحث طريقة معينة لتحديد مستقرات بعض الداليات العقدية المختارة في الفضاء وهو فضاء التوابع التحليلية في قرص الواحدة التي تقبل التمثيل التكاملي : وقد تم البرهان على أن مستقر الدالي في هذا الفضاء هو القرص المغلق كما تم الحصول على تقدير طويلة التابع في هذا الفضاء وتقديرات أخرى مرتبطة به
This paper presents a certain method to determine the range of variability ( or the set of values) of some functionals defined in the Class (i.e the class of analytic functions in the unit disk It have been shown in this class that the range of variability of the functional is the closed disk The estimations of modulus of function and some other estimations related were also obtaind
References used
ALEKSANDROV,I. Boundary Values of Functional on the Class of Holomorphic Functions Univalent in a Circle. Sibirsk, Mat. Z. 4 , (1963),17-31
BABALOLA. T, K. O. OPOOL, O. Iterated integral Transforms of Caratheodory Functions and their Applications to Analytic and Univalent Functions. Tamking Journal of Mathemtics Volume 37, Number 4, 355-366, Winter 2006
BADDOUR,H. About the range of variability of linear functionals in Caratheodory Classe. Damascus univ.journal- No.28 – 1998
(BADDOUR,H.The Boundary Propertieses of Some Functionals in Clas C . Tichreen University Journal, Bas Sciences Seies2012 .V 34, Nr (1
GOEL , R. A Class of Close-to-convex Functions. Czchoslovak Mathematical Journal 18 (93) (1968) , 503-508P.W.N Warsaw 1975
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This paper presents a certain method to determine the range of variability of some functionals defined in Generalized Caratheodory Class ( i.e the class of analytic functions in the unit disk of the form:
where is a non decreasing function on the in
terval such that ). It has been proved that the range of variability of functional
where is a polynomial in , is the closed disc with and precisely determined . Also the range of variability of some other functional determined
This paper presents a certain method to determine the range of varibility
of linear functionals defined in the Caratheodory Class i.e the class of
analytic functions in the unit disk ( z < 1 ) with a positive real part and
f(0)=1.
In this research, the quantity of vitamin C which extracted from fresh fruits and
vegetables was evaluate by using titration method with 6-2 Dichloro phenol andovinol, and
studying the effect of conservation and different temperatures (30, 60, 90)
°C which used
in cooking on content of vitamin C for some samples. Also this search included studying of
the effect of iron ions on content tomato, orange and lemon of vitamin C.
The results showed that the concentration of vitamin c in studied samples: parsley,
red pepper, green pepper, lemon, orange and tomato was (8, 22, 36, 144, 175, 133)
mg/100g respectively. Losing of the vitamin was (66%, 65%) when we save the leaves and
stalk of parsley for 24 hours respectively, when exposure the parsley leaves to the
temperatures (30, 60, 90) c° the losing percentage was (24 %, 41%, 62 %), While the
losing was (79%, 65%, 39%) when injected each of tomatoes, oranges, lemons with
dissoluble of iron.
This study treat the effect of the Suction method as a way of the
boundary layer controlling in order to avoid or at least delay the
boundary layer separation and to explain the effectiveness of this
method in improving the aerodynamic performance
of the
Airfoils of the studied wind turbine blade and thus the possibility
of obtaining better electrical output of the wind turbine, that is
performance improving of wind turbines and obtains a better
design.
This study was conducted at Gharabo farm, Fac. Agric. Damascus
Universityin order to determine the effect of heat sress and level of vit. C on the
blood indicators of of Japanese quailc A total of 252 females Chicks were
distributed randomly into
two groups (G and G2) at one day of age, The chicks
in G1were subjected to an ideal temperature required according to their age up
to 30 days old, while the chicks in G2 were subjected to heat stress at 42 °C
during the daytime from 8 am to 5 pm and to ideal temperature from 5pm to
8am for the same period of rearing. Chicks of each group were distributed into
three subgroups given three levels of vitamin C: 0, 10 and20 g/l, with three
replicates for each sub-group during the rearing period. Blood samples were
collected from eighteen birds selected randomly from each group. Results
indicated that there was a significant increase in both red blood cells and
hemoglobin in the stressed group.
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