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Use of Recursion and Analytical Relations in Evaluation of Hypergeometric Functions Arising in Multicenter Integrals with Noninteger n Slater Type Orbitals

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Abstract

In this work we present the new recursion and analytical relations for the calculation of hypergeometric functions F(1,b;c;z) occurring in multicenter integrals of noninteger n Slater type orbitals. The formulas obtained are numerically stable for 0 < z < 1 and all integer and noninteger values of parameters b and c

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Authors and Affiliations

  1. Department of Physics, Faculty of Arts and Sciences, Onsekiz Mart University, Çanakkale, Turkey

    I. I. Guseinov

  2. Department of Physics, Faculty of Arts and Sciences, Gaziosmanpaşa University, Tokat, Turkey

    B. A. Mamedov

Authors
  1. I. I. Guseinov
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  2. B. A. Mamedov
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Corresponding author

Correspondence to B. A. Mamedov.

Additional information

The Author cordially congratulates Prof. I.I. Guseinov on his 70th birthday

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Guseinov, I.I., Mamedov, B.A. Use of Recursion and Analytical Relations in Evaluation of Hypergeometric Functions Arising in Multicenter Integrals with Noninteger n Slater Type Orbitals. J Math Chem 38, 511–517 (2005). https://doi.org/10.1007/s10910-005-6904-4

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  • DOI: https://doi.org/10.1007/s10910-005-6904-4

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