\(L^p\)-approximation and generalized growth of generalized biaxially symmetric potentials on hyper sphere

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Devendra Kumar


The generalized order of growth and generalized type of an entire function Fα,β (generalized biaxisymmetric potentials) have been obtained in terms of the sequence Ep n(Fα,β,Pα,β r ) of best real biaxially symmetric harmonic polynomial approximation on open hyper sphere Pα,β r . Moreover, the results of McCoy [8] have been extended for the cases of fast growth as well as slow growth.

Generalized order and type, hyper sphere, generalized biaxisymmetric polynomial approximation errors, fast and slow growth, Jacobi polynomial and Lp-norm

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Kumar, D. (2018). \(L^p\)-approximation and generalized growth of generalized biaxially symmetric potentials on hyper sphere. J. Numer. Anal. Approx. Theory, 47(1), 58-71. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1109


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