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#### Evaluation of generalized exponential integrals using multinomial expansion theorems

(Springer, 2005)

An efficient and reliable method is presented for calculations the generalized exponential (GE) integrals. The basic series expressions of the generalized GE integrals are established. Evaluation of GE integrals for different ...

#### Evaluation of the Hubbell radiation rectangular source integral using binomial coefficients

(Pergamon-Elsevier Science Ltd, 2004)

Using binomial coefficients a general series expansion formula is established for the integral I-q(a,b) = integral(0)(a) 1/(1 + b(2) + x(2))(q) dx with integer and noninteger values of g appearing in the evaluation of the ...

#### Calculation of multicenter nuclear attraction and electron repulsion integrals over Slater orbitals by Fourier transform method using Gegenbauer polynomials

(Kluwer Academic/Plenum Publ, 2002)

In this study, using complete orthonormal sets of exponential type orbitals (ETOs), a single closed analytical relation is derived for a large number of different expansions of overlap integrals over Slater type orbitals ...

#### Computation of molecular integrals over Slater-type orbitals. VII. Calculation of multielectron molecular integrals by single-center expansion method using different translation formulas

(Elsevier Science Bv, 2001)

Hitherto known formulas for the translation of Slater-type orbitals (STOs) from one center to another encounter serious difficulties in practical applications. In contrast, those derived by the use of arbitrary complete ...

#### Computation of molecular integrals over Slater-type orbitals. VIII. Calculation of overlap integrals with different screening parameters using series expansion formulas for Slater-type orbitals

(Elsevier Science Bv, 2001)

Using expansion formulas for the Slater-type orbitals (STOs) obtained by the one of authors [Phys. Rev. A 31 (1985) 2851] the two-center overlap integrals with different screening parameters are expressed through the overlap ...

#### Calculation of molecular electric and magnetic multipole moment integrals of integer and noninteger n Slater orbitals using overlap integrals

(John Wiley & Sons Inc, 2003)

Closed formulas are established for the magnetic multipole moment integrals of integer and noninteger n Slater-type orbitals (ISTOs and NISTOs) in terms of electric multipole moment integrals for which the analytic expressions ...

#### On the calculation of arbitrary multielectron molecular integrals over Slater-type orbitals using recurrence relations for overlap integrals. IV. Use of recurrence relations for basic two-center overlap and hybrid integrals

(John Wiley & Sons Inc, 2002)

Using expansion formula for the translation of Slater-type orbitals (STOs) obtained with the help of Coulomb Sturmian exponential-type functions (ETFS) (Guseinov, I. I. Int J Quantum Chem 2001, 81, 126) the multicenter ...

#### On the calculation of arbitrary multielectron molecular integrals over slater-type orbitals using recurrence relations for overlap integrals. III. Auxiliary functions Q(nn)(q)' and G(-nn)(q)'

(Wiley, 2002)

The auxiliary functions Q(nn)(q), (p,pt) and G(-nn)(q), (p(a),p,pt) which are used in our previous paper [Guseinov, I. I.; Mamedov, B. A. Int J Quantum Chem 2001, 81, 117] for the computation of multicenter electron-repulsion ...

#### A new algorithm for accurate and fast evaluation of the Hubbell radiation rectangular source integral

(Pergamon-Elsevier Science Ltd, 2005)

In this work we present a new efficient and reliable analytical procedure for evaluation of the Hubbell radiation rectangular source (HRS) integral using a binomial expansion. The proposed procedure guarantees the reliable ...

#### Calculation of multicenter electronic attraction, electric field and electric field gradient integrals of Coulomb potential over integer and noninteger n Slater orbitals

(Springer, 2005)

With the help of complete orthonormal sets of psi(alpha) - ETOs, where alpha = 1, 0,- 1,- 2,... a large number of series expansion formulas for the multicenter electronic attraction ( EA), electric field ( EF) and electric ...