Reciprocal Symmetry via Inverse Series Pairs
نویسندگان
چکیده
Reciprocal series are employed to systematically review convolution sums, orthogonality relations, recurrence relations and reciprocal formulae for several classical number sequences, such as binomial coefficients, Stirling numbers, Bernoulli Euler numbers.
منابع مشابه
On reciprocal symmetry
On the positive half-line, there are two natural, and complementary, analogues of the single notion of symmetry of distributions on the real line. One is the R-symmetry recently proposed and investigated by Mudholkar and Wang (2007); the other is the ‘log-symmetry’ investigated here. Log-symmetry can be thought of either in terms of a random variable having the same distribution as its reciproc...
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8 Oliver, J., Harvey Lectures, Series XL, 1944-1945, p. 102. J. Mount Sinai Hosp. 15, 175, (1948). 9 Dock, W., New Eng. J. Med., 227, 633 (1942). 10 Randerath, E., Ergeb. d. Allg. Path. u. Path. Anat. des Menschen u. der Tiere, 32, 91 (1937). 11 Smetana, H., Am. J. Path., 18, 1029 (1942) and 23, 255 (1947). 12 Monke, J. V., and Yuile, C. L., J. Exp. Med., 72, 149 (1940). Yuile, C. L., and Clark...
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ژورنال
عنوان ژورنال: Symmetry
سال: 2023
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym15051086