Browsing by Author "Mamedov, B. A."
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Accurate analytical evaluation of heat capacity of nuclear fuels using EinsteinDebye approximation
Mamedov, B. A. (Elsevier Science Sa, 2014)A new method was developed for heat capacity calculations of nuclear fuels using the convolution between Einstein and Debye approximations. The calculation results permitted an accurate evaluation of the validity of the ... 
Accurate calculation of second virial coefficient of the Exp6 potential and its application
Mamedov, B. A.; Somuncu, E. (Elsevier, 2015)In this study, a new approach to calculate the second virial coefficient of the Exp6 potential is proposed. Over a wide temperature range, the calculated results of the second virial coefficient determined from Exp6 ... 
Accurate evaluation of integrals arising from the bulk electron densities in quantum wells of high electron mobility transistors
Mamedov, B. A. (Elsevier Science Bv, 2008)In this paper we propose a new accurate approach to compute integrals Ir(a,b) = 1/Gamma(r+1) integral(infinity)(0) (x+b)(r)/1+e(xa) dx arrays of the electron density and energy density in a multilayered high electron ... 
Accurate evaluation of overlap integrals of Slater type orbitals with noninteger principal quantum numbers using complete orthonormal sets of psi(alpha)exponential type orbitals
Guseinov, I. I.; Mamedov, B. A. (Springer, 2008)In this paper, by the use of complete orthonormal sets of psi(alpha) exponentialtype orbitals (Psi(alpha)ETOs, alpha = 1, 0, 1,2,...), the series expansion formulas in lineup coordinate systems are established for the ... 
Accurate evaluation of the cubic lattice Green functions using binomial expansion theorems
Mamedov, B. A.; Askerov, I. M. (Springer/Plenum Publishers, 2008)A new, simple, and efficient technique for the accurate evaluation of the lattice Green functions is presented. Using binomial expansion theorems, these functions are expressed through the binomial coefficients and basic ... 
Accurate evaluation of the internal energy, free energy, entropy and enthalpy of nonpolar molecules by using virial coefficients
Mamedov, B. A.; Somuncu, E. (Elsevier Science Bv, 2017)In this work, we suggest an alternative method for evaluating the internal energy, free energy, entropy and enthalpy using the second virial coefficient over the LennardJones (126) potential. The proposed formulae ... 
Accurate Evaluation of the Specific Heat Capacity of Solids and its Application to MgO and ZnO Crystals
Mamedov, B. A.; Eser, E.; Koc, H.; Askerov, I. M. (Springer/Plenum Publishers, 2009)Using binomial coefficients, new, simple, and efficient algorithms are presented for the accurate and fast calculation of the heat capacity of solids depending on the Debye temperature. As will be seen, the present formulation ... 
An accurate evaluation of the speed of sound and heat capacities of refrigeration gases using second virial coefficient with Stockmayer potential
Mamedov, B. A.; Somuncu, E.; Emek, Mehriban (Indian Assoc Cultivation Science, 2021)In this study, we present an analytical expression to evaluate the speed of sound and heat capacities of refrigerant gases using the second virial coefficient over the Stockmayer potential. The obtained analytical formula ... 
Analytical evaluation of Askerov functions arising from anisotropy of the thermoelectric power in superlattices
Mamedov, B. A. (Elsevier Science Bv, 2012)In this work, we propose an analytical approach which enables more accurate calculation of Askerov functions arising from components of the thermoelectric power in superlattices. Using the binomial expansion theorem, these ... 
Analytical evaluation of cylindrical exponential integrals arising in radiative transfer
Mamedov, B. A. (PergamonElsevier Science Ltd, 2008)New analytical results are presented performing to cylindrical exponential integral (CEI) functions for integer and noninteger values of parameter n. These integrals are often employed of twodimensional radiative transfer ... 
Analytical evaluation of describing functions arising from harmonic balance analysis of tapping mode atomic force microscope
Mamedov, B. A. (Amer Inst Physics, 2008)A new algorithm of harmonic balance analysis of tapping mode atomic force microscopes has been developed. The new algorithm is applicable to analytical evaluation of a large class of common tipsample interaction potentials. ... 
Analytical evaluation of Doppler functions arising from resonance effects in nuclear processes
Mamedov, B. A. (Elsevier Science Bv, 2009)We present a new method for the analytical evaluation of Doppler function arising from resonance effects in nuclear processes. The method yields stable results in nuclear physics field avoiding complicated analytic ... 
Analytical evaluation of the MarcusHushChidsey function using binomial expansion theorem and Error functions
Mamedov, B. A. (Springer, 2013)A simple and straightforward analytical method is presented for calculating the MarcusHushChidsey function. We present here an alternative derivation method which leads to a simpler series analytical formula, based on ... 
Analytical evaluation of the plasma dispersion function for a FermiDirac distribution
Mamedov, B. A. (Iop Publishing Ltd, 2012)An efficient method for the analytic evaluation of the plasma dispersion function for the FermiDirac distribution is proposed. The new method has been developed using the binomial expansion theorem and the Gamma functions. ... 
Analytical Evaluation of the Plasma Dispersion Function Using Binomial Coefficients and Incomplete Gamma Functions
Mamedov, B. A. (WileyV C H Verlag Gmbh, 2009)Series expansions are obtained for a plasma dispersion function that appears in the description of smallamplitude waves in very hot plasmas. However. the numerical implementation of this function is required in diverse ... 
Analytical evaluation of the relativistic thermodynamic functions using binomial expansion theorem and incomplete Gamma functions
Mamedov, B. A. (Elsevier Science Bv, 2012)A simple evaluation algorithm for calculation of the fermions and bosons relativistic thermodynamic functions with high accuracy is presented. This method is based on the use of the binomial expansion theorems and incomplete ... 
Analytical evaluation of the thermionic emission probability for semiconductorinsulator interfaces using incomplete gamma functions
Mamedov, B. A. (Elsevier Science Inc, 2011)In this study, a new efficient method for calculation of the charge carrier emission probability over energy barriers in semiconductor devices is presented. As will be seen, the present formulation yields compact closedform ... 
Analytical evaluation of the TsytovichAngelis dustdust collision functions arising from the kinetic theory of dusty plasmas
Mamedov, B. A. (Amer Inst Physics, 2010)An efficient analytical calculation approach is presented for the TsytovichAngelis dustdust collision functions consisting of the kinetic theory of dusty plasmas This method is based on the use of binomial expansion ... 
Analytical evaluation of the Voigt function using binomial coefficients and incomplete gamma functions
Mamedov, B. A. (Oxford Univ Press, 2008)Using the binomial expansion theorem, the simple general analytical expressions are obtained for the Voigt function arising in various fields of physical research. As we will seen, the present formulation yields compact ...