Properties of the zeros of confluent hypergeometric functions

DOI10.1016/0021-9045(82)90076-4zbMath0483.33002OpenAlexW1982494346MaRDI QIDQ1163139

Shafique Ahmed

Publication date: 1982

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(82)90076-4

zbMATH Keywords

logarithmic differentiationzeros of the confluent hypergeometric function

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (2)

Unification of Stieltjes‐Calogero type relations for the zeros of classical orthogonal polynomials ⋮ On the zeros of Bessel polynomials

Cites Work

• Relationship between equilibrium configurations of certain dynamical systems and zeros of Laguerre polynomials
• Reciprocal Power Sums of Differences of Zeros of Special Functions
• The Confluent Hypergeometric Function
• Die Summe der reziproken Potenzen der Nullstellen von M_{x, μ/2} (z) hinsichtlich z.
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