Trigonometric identities: from Hermite via Meijer, Nørlund, and Braaksma to Chu and Johnson and beyond

DOI10.1007/s40590-023-00518-yarXiv2302.10333OpenAlexW4383375098MaRDI QIDQ6133608

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Publication date: 18 August 2023

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.10333

zbMATH Keywords

trigonometric interpolationtrigonometric polynomialpartial fractiontrigonometric identitysine identityHermite's cotangent identity

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Functional equations for real functions (39B22) Mittag-Leffler functions and generalizations (33E12) Interpolation in approximation theory (41A05) Exponential and trigonometric functions (33B10)

Cites Work

• Hypergeometric differential equation and new identities for the coefficients of Nørlund and Bühring
• Hypergeometric functions
• Polynomials. Translated from the second Russian edition 2001 by Dimitry Leites.
• Trigonometric identities and sums of separable functions
• Trigonometric Identities à la Hermite
• Multilateral Summation Theorems for Ordinary and Basic Hypergeometric Series in $U(n)$.
• Some q-Beta and Mellin-Barnes Integrals on Compact Lie Groups and Lie Algebras
• On Meijer's G function G^m,n_p,p for m + n = p
• Partial fraction decompositions and trigonometric sum identities
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