Orthogonal polynomials in the theory of Mathieu functions. I

DOI10.1007/BF01223685zbMath0438.33009MaRDI QIDQ1141798

Josef Meixner

Publication date: 1981

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Laplace transformsorthogonal polynomialsMathieu functionsFourier sin- and cos- expansionsMathieu's differential equation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Linear ordinary differential equations and systems (34A30) Lamé, Mathieu, and spheroidal wave functions (33E10) Ordinary differential operators (34L99)

Related Items (2)

Josef Meixner: his life and his orthogonal polynomials ⋮ Orthogonal polynomials in the theory of Mathieu functions. II

Cites Work

• Ein Verfahren zur Berechnung des charakteristischen Exponenten der Mathieuschen Differentialgleichung. I
• Chain Sequences and Orthogonal Polynomials
• Unnamed Item

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