Доклады Академии наук Республики Таджикистан, том 62, №0506, 2019 г. 
File  Article title and abstract  Pages 


Download  Mirzorahimov Sh.Kh., Негматова Г.Д., Karimov R.A.  259264 
The distribution of Jacobi symbol values in a sequence of shifted primes 
The law of distribution of the Jacobi symbol value in short sequences of shifted prime numbers is obtained in the paper. 

Key words: shifted primes; Jacobi symbol; short sums of characters.  

Download  Azamov A.Z., Nazrubloev N.N.  265269 
The new estimation of the short exponential Weyl's sum
in minor arcs 
In minor arcs we obtained the estimation of the short exponential Weyl's sum of the following form
which will be nontrivial for , where  is some absolute positive constant. 

Key words: short weyl exponential sum; minor arcs; divisor function; diophantine equation.  

Download  Shabozov M.Sh., Murodov K.N.  270279 
On exact inequalities at the approximation of double sums FourierBessel 
The article deals with the problem of approximating the differentiable functions of two variables by «circular» amounts FourierBessel in a Hilbert space with weight . Row of exact inequalities are obtained for the differentiable functions between the best approximations of successive derivatives and the best approximations of the highest derivative, as well as between and the generalized modulus of th order, where is the differential operator of second order Bessel. 

Key words: Bessel function; the best approximation; generalized shift operator; double FourierBessel series; generalized modulus of continuity kth order.  

Download  Azizov M., Mukhlis A.  280285 
Restoration of solution the Neyman's edge task of information about boundary function 
In this paper the Neyman's edge task of given information about boundary function was solved. 

Key words: reconstruction; coding; Neyman's edge task; boundary function; optimal approximation.  

Download  Nurubloev M.  286291 
On a multidimensional nonstrongly elliptic system of higherorder differentional equations 
A higherorder elliptic system in the fourdimensional space is considered in the paper and it is shown that the Dirichlet problem for the system has infinitely many solutions. A correct problem for the system in a halfspace is posed and it is investigated. 

Key words: boundary value problem; iteration; polyharmonicity; nonstrongly elliptic system.  

Download  Kokhirova G.I., Ivanova О.V., Rakhmatullaeva F.Dzh  292302 
Outburst activity of asteroid Don Quixote by observations
in the Sanglokh observatory 
The results of the multicolor optical observations of asteroid (3552) Don Quixote, performed at the Sanglokh observatory in July 2018 are presented. The apparent and absolute brightness of the asteroid in the VRI filters was determined. Analysis of the asteroid light curves showed a significant change in brightness  from 11.5 to 13.1 absolute magnitudes during the observation period. Such a significant change in brightness indicates an asteroid outburst; therefore, we have registered its activity, confirming the comet origin of the object. The color indices according to our observations correspond to the values for the nuclei of extinct comets and Dtype asteroids. Estimates of the effective diameter of the asteroid from observations 10 days after the outburst are in good agreement with the available data. It was shown that object very likely is an extinct cometary nucleus. 

Key words: asteroid; observations; photometry; light curve; outburst; activity; diameter.  

Download  Rahimi F., Abdulloev Kh.O., Devonakulov Sh.A., Rahmonov S.S.  303308 
Soliton solutions of the GinzburgLandau equation
with cubic nonlinearity 
The presented work explores the complex equation of GinsburgLandau, which plays a very important role in science, manifesting in many sections of physics. Within the GinsburgLandau equation, the behavior of dissipative solitons, which are possible as a result of interaction between linear and nonlinear amplification, i.e. pulselike solitons, has been studied. On the other side of the GinsburgLandau equation is an important model for describing processes in optically transmitting systems with filtration. 

Key words: optical properties; nonlinearity; dispersion; beams; intensity; stationary regime; dissipative solitons; linearity; superconductivity.  

Download  Salikhov T.Kh., Davlatjonova Sh.K., Rakhmonov R.K.  309316 
The temporal behavior of the transfer functions of the first and second sounds in the superfluid solution НеНе with free boundary 
A numerical calculation of the temporal profile of the transfer functionsof the first and second sounds in a superfluid solution of  which excited by a laser beam and thermal mechanism has been done. It is established that for short pulses of a beam, the temporal distribution of OA pulses consists of two exponential curves with a transition region of width  the pulse duration of the incident beam; for long pulses of the incident beam, the distribution form is a curve with a smoothlyminimum and maximum. 

Key words: optoacoustic; superfluid solution; thermal mechanism; second sound; transfer functions.  

Download  Azamov Sh.O., Mirzoev D.Kh., Mirsaidov U.M.  317319 
Watersulfuric acid decomposition of Ziddi argillites
with preliminary sintering with sodium hydroxide 
In this paper the twostage aqueoussulfuric acid decomposition of argillites of the Ziddi deposit with preliminary sintering with sodium hydroxide was studied.The mechanism of the decomposition of sinter with sulfuric acid was revealed, and optimal conditions of the process were established. 

Key words: argillites; watersulfuric acid decomposition; sintering; sodium hydroxide.  

Download  Shuhratzoda M., Rajabov U.R., Yusupov I.KH., Kozikhonov A.U.  320325 
Synthesis of coordination connection of silver (I) with metronidazol and its research by the method of spin labels 
Coordination compounds of silver (I) with metronidazole were synthesized. The physicochemical properties of the synthesized coordination compounds were studied. The spin dependence of these complexes was studied using the spin label method. It has been established that the change in the parameters of the EPR spectra and the rotational mobility of the spin labels at room temperature depends on the concentration of the samples under study, that is, as the concentration decreases, the signal begins to fade. 

Key words: coordination compounds; silver (I); metronidazole; nitroxyl radical; EPR spectra.  

Download  Gaibullaeva Z.H., Nasimov G.T.  326332 
Fullfactorial planning of the process of hydrometallurgical extraction of lead from the galenitecontaining concentrates from koni mansur (Tajikistan) deposit 
In this article the process of hydrometallurgical extraction of lead from galenacontaining concentrates from the Koni Mansur deposit (Tajikistan) in a solution of nitric acid is examined. The obtained experimental data were analyzed using the fullfactorial experimental method of calculation and using the statistical software Minitab 15.0. 

Key words: lead; concentrate; hydrometallurgical method; leaching; ecology.  

Download  Ahmadshoev I.Sh., Moukhamediev N.P., Safiev A.H., Rafiev R.S., Ruziev J.R., Safiev H.  333339 
Physical and chemical aspects of technology production casting flux 
In this work the results of studies on the development of technology for the production of flux based on industrial waste are present. The optimal composition of the charge was established, including: waste  80%, fluorite concentrate  10% and aluminum fluoride  10% temperature, the melting of which amounted to 710°С, and also has a coatingrefining property with respect to primary aluminum. The results of the pilot industrial 

Key words: flux; industrial waste; slag; fluorite concentrate; aluminum fluoride; environmental indicators.  

Download  Mirakov M.A., Pautov L.A., Shodibekov M.A., Fayziev A.R.  340343 
Herzenbergit SnS from miarolic granite pegmatite road, Cukurt, Eastern Pamir 
For the first time in the Eastern Pamirs, herzenbergite was found in the granitic pegmatites of Kukurta. It deserves special attention, since the findings of the mineral in granite pegmatites in the world are rare. 

Key words: herzenbergite; mineral; Kukurt; granite pegmatite; fluorapatite; fluorite; polycraz (Y); manganocolumbite; pyrochlore; cassiterite.  

Download  Kurbonov Sh.A., Samikhov Sh.R., Toshov F.M., Solieva B.A., Abdullaev Kh.A.  344349 
Action of superphosphate, produced from phosphorites of the Rivat deposit on morphophysiological parametrs and technological quality fiber in cotton 
In the study found that by adding superphosphate to the soil with a PO content of 1318% obtained from Rivat deposits, it positively affects on morphophysiological and photosynthetic parameters and technological qualities of cotton fiber. It was found that as a result of the application of phosphate fertilizers obtained from Rivat deposits, increases the main stem (1.5 times), the total leaf surface (1.781.85 times), the number of formed fruit organs (1.952.28 times), and the number of buds, flowers and ripened bolls with comparison to control plants of cotton. 

Key words: cotton; phosphate rock raw materials; superphosphate; morpophysioloqical patterns; distribution of assimilates; biological and economic harvest; technological properties of fiber.  

Download  Boymurodov J.S., Abdullaev S.F.  350355 
Phytochemical peculiarities of the species of elecampane (Inula macrophylla, Inula rhizocephala) growing in the conditions of the Southern slope of the Hissar range 
Тhe content of heavy metals for two species of elecampane: Incas macrophylla (IM) and Inula rhizocephala (IR) growing in the Southern part of Hissar ridge is studied. Analyses of the content of heavy metals in the composition of various organs of both species revealed that in IR leaves, the Ni content was 3.3 times, Co  1.97 and Zn  1.13 times more than in IM, in the flowers IR As  8.2 times, Ni  1.53 and FeO 1.2 times more than in IM and in the roots of IR Co1.6 times more than in IM. Estimates show that IM has more lead in leaves  1.4 times, cobalt in flowers  1.7 times and nickel roots 3.25 times, zinc  1.5 and iron  1.3 times more than in IR. The vegetative organs of the two studied species of elecampane contain the same amount of TiO(0.33%). The remaining heavy metals are contained in both types of elecampane at almost the same level. Cobalt in the soil of these zones is not detected. 

Key words: elecampane; heavy metals; biogenicity; biological absorption; Xray fluorescence method.  

Download  Kurbonov K.M., Nazirboev K.R., Daminova N.M.  356361 
Surgical treatment of tumors left half of the colon, complicated by intestinal obstruction 
The analysis of the results of complex diagnostics and surgical treatment of 84 patients with cancer of the left half of the colon, complicated by obstruction, is given. To select the most pathogeneticbased treatment method, patients were divided into 2 groups. In the first (control) group, 39 (46.4%) patients were included, whose treatment followed general surgical tactics. In the second (main) group, 45 (53.6%) patients were included, for the treatment of which they were used in the first stage of minimally invasive decompressive interventions and followed by radical surgery. Postoperative complications in patients of the main group were observed in 8 cases with 3 fatal outcomes, while in patients of the control group, postoperative complications were noted in 17 (20.2%) patients with 8 deaths 

Key words: colon cancer; left half; obstruction; radical intervention.  

Download  Gulmurodov T.G., Odil S., Yuldoshev H., Burhonov Sh.Sh.  362369 
Direct revascularization of the myocardium at the working heart in patients with ischemic heart disease 
In this article the results of coronary bypass surgery of 208 patients with coronary heart disease is analyzed. A comparative assessment found that coronary artery bypass surgery on a working heart compared with operations onpump is accompanied by less frequent of mortality and serious complications due to the elimination of the negative effects of onpump and decreasing injury of operation. The safety and efficiency of direct myocardial revascularization on a working heart in patients with coronary artery disease, with high operational risk is confirmed. 

Key words: coronary heart disease; coronary artery bypass surgery; onpump; postoperative Injuries.  
