Nangho, Maurice KenfackFoupouagnigni, M.Koepf, W.2019-07-152019-05Kenfack Nangho, M., Foupouagnigni, M. & Koepf, W. On exponential and trigonometric functions on nonuniform lattices. Ramanujan Journal (2019) 49: 1-37. https://doi.org/10.1007/s11139-018-0107-7.1382-4090 (print)1572-9303 (online)10.1007/s11139-018-0107-7http://hdl.handle.net/2263/70712We develop analogs of exponential and trigonometric functions (including the basic exponential function) and derive their fundamental properties: addition formula, positivity, reciprocal and fundamental relations of trigonometry. We also establish a binomial theorem, characterize symmetric orthogonal polynomials and provide a formula for computing the nth-derivatives for analytic functions on nonuniform lattices (q-quadratic and quadratic variables).en© Springer Science+Business Media, LLC, part of Springer Nature 2019. The original publication is available at : http://link.springer.com/journal/11139.Symmetric functions and nonuniform latticesBasic exponential functionAskey–Wilson polynomialsPostprint Article