Summary
In this paper the author has estimated the orders of the coefficients of Bessel series of a function which is differentiable 2S (S≥1) times- From his results he also derived the uniformity of the convergence of the Bessel series in the interval (a, b).
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References
E. C. Titchmarsh,A class of expansions in series of Bessel Functions, Proc. London Mathematical society 1924, Vol. 22, p. XIII.
G. P. Tolstov,Fourier Series, (1962).
G. N. Watson,A Treatise on the theory of Bessel Functions, Second edition (1944).
D. Naylor,On a Strum Liouville expansions in series of Bessel Functions, Proc. Camb. Phil. Soc. (1966), 62, pp. 61–72.
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Entrata in Redazione il 26 giugno 1968.
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Khoti, B.P. On the order of the coefficients of bessel series of a differentiable function. Annali di Matematica 81, 319–330 (1969). https://doi.org/10.1007/BF02413507
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DOI: https://doi.org/10.1007/BF02413507