An exactly solvable self-convolutive recurrence
نویسندگان
چکیده
منابع مشابه
2 01 1 An exactly solvable self - convolutive recurrence
We consider a self-convolutive recurrence whose solution is the sequence of coefficients in the asymptotic expansion of the logarithmic derivative of the confluent hypergeometic function U(a, b, z). By application of the Hilbert transform we convert this expression into an explicit, non-recursive solution in which the nth coefficient is expressed as the (n− 1)th moment of a measure, and also as...
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ژورنال
عنوان ژورنال: Aequationes mathematicae
سال: 2010
ISSN: 0001-9054,1420-8903
DOI: 10.1007/s00010-010-0051-0