Polynomial series expansions for confluent and Gaussian hypergeometric functions

DOI10.1090/S0025-5718-05-01734-5zbMath1084.33001OpenAlexW2040604333MaRDI QIDQ5315425

P. Vasundhra, Jürgen Müller, Wolfgang Luh, Saminathan Ponnusamy

Publication date: 8 September 2005

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-05-01734-5

zbMATH Keywords

hypergeometric functionspolynomial expansions

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Numerical approximation and evaluation of special functions (33F05)

Related Items (1)

Hölder mean inequalities for the complete elliptic integrals

Cites Work

• On hypergeometric functions and function spaces
• Convergence acceleration of Taylor sections by convolution
• The special functions and their approximations. Vol. I, II
• On the borel—okada theorem and the hadamard multiplication theorem
• The hadamard multiplication theorem and applications in summability theory
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