Zeros of a cross-product of the Coulomb wave and Tricomi hypergeometric functions

DOI10.1090/proc/13331zbMath1360.34035arXiv1603.07566OpenAlexW3099499684MaRDI QIDQ2957807

Árpád Baricz

Publication date: 30 January 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.07566

zbMATH Keywords

eigenvalueseigenfunctionsboundary value problemCoulomb wave functionBessel and modified Bessel functionsmonotonicity of the zerosTricomi hypergeometric functionzeros of a cross-product

Mathematics Subject Classification ID

Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (1)

On the Janowski starlikeness of the Coulomb wave functions

Uses Software

• DLMF

Cites Work

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• Turán type inequalities for Tricomi confluent hypergeometric functions
• Orthogonal polynomials associated with Coulomb wave functions
• Turán type inequalities for regular Coulomb wave functions
• Some Explicit Padé Approximants for the Function ${{\Phi '} / \Phi }$ and a Related Quadrature Formula Involving Bessel Functions
• Monotonicity of the Zeros of a Cross-Product of Bessel Functions

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