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On properties of self reciprocal functions

1969
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Bulletin of the American Mathematical Society
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Following is the notation of Hardy and Titchmarsh [l]. We denote a function as Rfi if it is self reciprocal for Hankel transforms of order /z, so that it is given by the formula a Bessel function of order ju. For y = i and - §, f(pc) is denoted as R 8 and R e respectively. Brij Mohan [2] has shown that if f(x) is Rfi, and V. J. MIZEL [January 4. I.N. Sneddon, Special fundions of mathematical physics and chemistry, Edinburgh (1961), 162. 5« Brij Mohan, Formulae connecting self reciprocal functions, Indian J. Phys. 15

doi:10.1090/s0002-9904-1969-12190-7
fatcat:kwydfbxjqzfirml46bpggji7ia