On Value Distribution Theory of Second Order Periodic ODEs, Special Functions and Orthogonal Polynomials

DOI10.4153/CJM-2006-030-XzbMath1115.34081MaRDI QIDQ3413537

Yik-Man Chiang, Mourad E. H. Ismail

Publication date: 12 December 2006

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

zbMATH Keywords

Bessel polynomialsexponent of convergence of zeroscomplex oscillation theoryHeine problemLommel transformationzero distribution of Bessel and confluent hypergeometric functions

Mathematics Subject Classification ID

Other special orthogonal polynomials and functions (33C47) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

Related Items (9)

Research questions on meromorphic functions and complex differential equations ⋮ On the oscillation of certain second-order linear differential equations ⋮ Complex oscillation of solutions of a third order ODE ⋮ Value distribution of exponential polynomials and their role in the theories of complex differential equations and oscillation theory ⋮ On meromorphic solutions of linear partial differential equations of second order ⋮ Quasiconformal surgery and linear differential equations ⋮ Application of Coulomb wave functions to an orthogonal series associated with steady axisymmetric Euler flows ⋮ A linear homogeneous partial differential equation with entire solutions represented by Bessel polynomials ⋮ A note on meromorphic solutions of linear partial differential equations of second order

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