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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
Authors:I.?I.?Guseinov,B.?A.?Mamedov  author-information"  >  author-information__contact u-icon-before"  >  mailto:bamamedov@yahoo.com"   title="  bamamedov@yahoo.com"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:1.Department of Physics, Faculty of Arts and Sciences,Onsekiz Mart University,?anakkale,Turkey;2.Department of Physics, Faculty of Arts and Sciences,Gaziosmanpa?a University,Tokat,Turkey
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 The Author cordially congratulates Prof. I.I. Guseinov on his 70th birthday
Keywords:hypergeometric functions  Slater type orbitals  multicenter integrals
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