Improved \(q\)-exponential and \(q\)-trigonometric functions
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Publication:654260
DOI10.1016/j.aml.2011.06.009zbMath1232.33025arXiv1006.5652OpenAlexW2963701787MaRDI QIDQ654260
Publication date: 28 December 2011
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1006.5652
Cayley transform\(q\)-calculus\(q\)-trigonometric functionsquantum calculus\(q\)-exponential function
Related Items (13)
On \(q\)-BFGS algorithm for unconstrained optimization problems ⋮ An extended generalized \(q\)-extensions for the Apostol type polynomials ⋮ Hyers-Ulam stability for quantum equations ⋮ On q-analogs of zeta functions associated with a pair of q-analogs of Bernoulli numbers and polynomials ⋮ Unnamed Item ⋮ On a class of \(q\)-Bernoulli, \(q\)-Euler, and \(q\)-Genocchi polynomials ⋮ The sine-Gordon equation on time scales ⋮ New definitions of exponential, hyperbolic and trigonometric functions on time scales ⋮ On basic Fourier-Bessel expansions ⋮ Hyers-Ulam stability for Cayley quantum equations and its application to \(h\)-difference equations ⋮ Some new sums of q-trigonometric and related functions through a theta product of Jacobi ⋮ On the generalized q-poly-Euler polynomials of the second kind ⋮ A new type of q-Szász-Mirakjan operators
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